Fundamental Sentence Examples

fundamental
  • The fundamental substance or stroma is colorless and homogeneous.

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  • In the end, our fundamental challenge is to become better individuals, and technology offers little help on that front; it is up to each one of us to solve that for ourselves.

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  • The former moves in a world of "values," and judges things as they are related to our "fundamental self-feeling."

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  • In correspondence with the fundamental constitution of the zooid, each of the three segments has its own body-cavity separated from the others.

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  • The characteristic by which we recognize the fundamental element in a series is its intuitive or self-evident character; it is given by "the evident conception of a healthy and attentive mind so clear and distinct that no doubt is left."

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  • The first error is to assert that history unfolds in a basically linear fashion, that there is a fundamental continuity between the past, present, and future.

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  • There are those who would elevate the right to food as being a fundamental human right.

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  • In the psychology of Descartes there are two fundamental 2 Ib.

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  • Taking the centimetre, gramme and second as our fundamental units, the most convenient unit of force is that which, acting on a gramme for a second, produces in it a velocity of a centimetre per second; this is called a Dyne.

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  • There can be no doubt that there is no fundamental difference between the living substance of animals and plants, for many forms exist which cannot be referred with certainty to either kingdom.

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  • You can be a subsistence farmer and perhaps produce some excess, but given the prior observation about the fundamental volatility of farming, you will always be at risk of not producing enough.

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  • In general they are characterized by a firm adherence to the fundamental articles of Catholic orthodoxy, tempered by a tolerant attitude towards those not of "the household of the faith."

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  • In all green plants which have a special protective epidermis, the cortex of the shoot has to perform the primitive fundamental function of carbon assimilation.

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  • With the old Czechs he refused to recognise the constitution of 1867; he helped to draft the declaration of 1868 and the fundamental articles of 1871, and took a leading part in the negotiations during the ministry of Potocki and Hohenwart.

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  • Their fundamental conception is that of Democritus; they seek to account for the formation of the cosmos, with its order and regularity, by setting out with the idea of an original (vertical) motion of the atoms, which somehow or other results in movements towards and from one another.

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  • Those who favour state connexion and those who oppose it agree in claiming spiritual independence as a fundamental principle of Presbyterianism.

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  • His fundamental idea - the interruption of the current - was a fatal mistake, which was not at the time properly understood.

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  • It must be remembered that speech contributed in no way to her fundamental education, though without the ability to speak she could hardly have gone to higher schools and to college.

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  • This leads up to the fundamental distinction, introduced by Lord Kelvin, between "available energy," which we can turn to mechanical effect, and "diffuse energy," which is useless for that purpose.

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  • The fundamental principle of the magneto system has been described in connexion with the " Standard board."

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  • The fundamental conception that underlay all Berthelot's chemical work was that all chemical phenomena depend on the action of physical forces which can be determined and measured.

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  • Its fundamental principle is that, by a combination of glass scales with a micrometer screw, " the chief part of the distance to be measured is read off on the scale; the fractional part of the scalespace is not estimated but measured by the screw."

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  • But in addition to bringing forward a fundamental and philosophical view of morbid processes, which probably contributed more than any other single cause to vindicate for pathology the place which he claimed for it among the biological sciences, Virchow made many important contributions to histology and morbid anatomy and to the study of particular diseases.

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  • The peace of Tilsit (July 7, 1807) enabled Napoleon to press on his projects for securing the command of the Mediterranean, thenceforth a fundamental axiom of his policy.

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  • Though all descended from one stock, there are twelve distinct tribes of the Andamanese, each with its own clearly-defined locality, its own distinct variety of the one fundamental language and to a certain extent its own separate habits.

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  • In the matter of criminal jurisdiction we paused for a moment at the edict of Milan; but we may at once trace this second or civil branch of episcopal judicature or quasi-judicature down as far as the reign of Charlemagne, when it underwent a fundamental change, and became, if either litigant once chose, no longer a matter of consent but of right.

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  • Considering the wide differences between the two groups in the size and external characters, and in the mode of life, including the mode of feeding, it is indeed surprising that in every important organ the two groups should show a fundamental morphological identity.

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  • The fundamental law was altered in 1848 and the Dutch monarchy, from being autocratic, became henceforth constitutional.

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  • Already anxieties appear as to the theological verdict upon two of his fundamental views - the infinitude of the universe, and the earth's rotation round the sun.

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  • The so-called Celtic type, exemplified by individuals of rather less than average height, brown-haired and brachycephalic, is the fundamental element in the nation and peoples the region between the Seine and the Garonne; in southern France a different type, dolichocephalic, short and with black hair and eyes, predominates.

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  • In his Entwickelungsgeschichte der Thiere (p. 264) he distinctly tells us that the law of growing individuality is " the fundamental thought which goes through all forms and degrees of animal development and all single relations.

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  • Nature of the Food of Planls.The recognition of the fundamental identity of the living substance in animals and plants has directed attention to the manner in which plants are nourished, and especially to the exact nature of their food.

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  • Other elements of the problem there are none, except mere numbers and angles, which do not depend upon the fundamental measurements of space, time and mass.

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  • Ezekiel's own moral code is that of the prophets, which insists on the practice of the fundamental civic virtues.

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  • The observation that large groups of species of widely different habits present the same fundamental plan of structure; and that parts of the same animal or plant, the functions of which are very different, likewise exhibit modifications of a common plan.

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  • Since Huxley and Sully wrote their masterly essays in the 9th edition of this encyclopaedia, the doctrine of evolution has outgrown the trammels of controversy and has been accepted as a fundamental principle.

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  • The word is derived from the general resemblance of the texture of plant substance to that of a textile fabric, and dates from a period when the fundamental constitution of plant substance from individual cells was not yet discovered.

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  • The differences between the nutritive processes of the animal and the plant are not therefore fundamental, as they were formerly held to be.

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  • The events form one of the fundamental problems of biblical history.

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  • Experience forbids our excluding organic activity from natural causes, also our excluding intelligence from purposeful (zwecktdtigen) causes; hence experience forbids our defining the fundamental force or first cause out of which living creatures arose.'

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  • Equally fundamental is the element of synthesis.

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  • To the latter Brown really belonged, but he had preserved certain doctrines of the older school which were out of harmony with his fundamental view.

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  • His fundamental religious conception was his assurance of salvation.

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  • Aristotle's suggestion that Thales was led to his fundamental dogma by observation of the part which moisture plays in the production and the maintenance of life, and Simplicius's, that the impressibility and the binding power of water were perhaps also in his thoughts, are by admission purely conjectural..

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  • But the development of mathematical and physical science soon introduced a fundamental change in the habits of thought with respect to medical doctrine.

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  • But in the absence of a general demonstration of that principle, his results did not command the confidence which they would otherwise have deserved, and it became desirable to have a theory more certain, and depending solely on the fundamental laws of mechanics.

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  • At the same time, it delights the pure theorist by the simplicity of the logic with which the fundamental theorems may be established, and by the elegance of its mathematical operations, insomuch that hydrostatics may be considered as the Euclidean pure geometry of mechanical science.

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  • This fundamental principle of hydrostatics follows at once from the principle of the normality of fluid pressure implied in the definition of a fluid in § 4.

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  • If homogeneous liquid is drawn off from a vessel so large that the motion at the free surface at a distance may be neglected, then Bernoulli's equation may be written H = PIP--z - F4 2 / 2g = P/ p +h, (8) where P denotes the atmospheric pressure and h the height of the free surface, a fundamental equation in hydraulics; a return has been made here to the gravitation unit of hydrostatics, and Oz is taken vertically upward.

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  • He starts from the fundamental thought of Jewish apocalyptic that the end of the world will be brought about by the direct intervention of God when evil has reached its climax.

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  • Its fundamental motive is the serious consideration, in a continuous and concrete manner, of that union of philosophy and history which had been glimpsed by earlier thinkers, but had hitherto been pursued in a manner more or less capricious.

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  • This knowledge, however, is by no means positivistic or empirical, but on the contrary it is dialectical and a priori synthetic, brought about by the spiritual categories; and from it there constantly arise new problems, an ever new position of the fundamental categories.

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  • By these and similar arguments he arrives at the fundamental principle of Scepticism, the radical and universal opposition of causes; panti logo logos antikeitai.

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  • The fundamental principle of the Frankish military system, that the man served at his own expense, was still unchanged.

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  • Underlying all the apparent confusion of fact and practice were certain fundamental principles and relationships, which were alike everywhere, and which really gave shape to everything that was feudal, no matter what its form might be.

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  • But from the fact that the bulk of the Tunisian population belongs to the Iberian section of the Berbers, and to this being no doubt the fundamental stock of most Italian peoples, the intermixture of the Italianized Berber with his African brother has not much affected the physique of the people, though it may have slightly tinged their mental characteristics.

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  • We must therefore regard the law in question as the broadest and most fundamental one which nature makes known to us.

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  • A more fundamental question is whether the name Yahweh originated among the Israelites or was adopted by them from some other people and speech.'

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  • But neither Elijah nor Elisha raised a voice against the cult; then, as later, in the time of Amos, it was nominally Yahweh-worship, and Hosea is the first to regard it as the fundamental cause of Israel's misery.

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  • He felt the majesty of these truths to be the greater that they so represented to him not only the most fundamental of human beliefs, but also all that man could be reasonably expected to believe, though to believe with his whole reason.

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  • The same fundamental rule applied, too, whether the field of the decoration was silk, paper or metal.

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  • It is a fundamental theorem in attractions that a thin spherical shell of matter which attracts according to the potential law of the inverse square acts on all external points as of a if it were concentrated at its centre.

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  • This is the cycle employed by Carnot for the establishment of his fundamental principle of reversibility as the criterion of perfect efficiency in a heat engine.

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  • This most fundamental point was finally settled by a more delicate test, devised by Lord Kelvin, and carried out in conjunction with Joule (1854), which showed that the fundamental assumption W =H in isothermal expansion was very nearly true for permanent gases, and that F'(t) must therefore vary very nearly as J/T.

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  • Although the value of G in any case cannot be found without that of 0, and although the consideration of the properties of the thermodynamic potential cannot in any case lead to results which are not directly deducible from the two fundamental laws, it affords a convenient method of formal expression in abstract thermodynamics for the condition of equilibrium between different phases, or the criterion of the possibility of a transformation.

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  • Tertullian exhausted the resources of dialectic in the endeavour to define and vindicate the relation of the spiritualists to the "psychic" Christians; but no one will say he has succeeded in clearing the Montanistic position of its fundamental inconsistency.

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  • Its causes and results are fundamental for the study of ethnology (formation and mixture of races), of political and social history (formation of states and survival of institutions), and of political economy (mobility of labour and utilization of productive forces).

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  • The personal contact between Luther and Zwingli led to no mental rapprochement between the two; but in the following year the Articles of Marburg did good service as one of the preliminaries to the Augsburg Confession, and remain a valuable document for the fundamental principles common to the Lutheran and Reformed Churches.

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  • The Assyrians with all their culture, never attained the stage of analysis which demonstrates that only a few fundamental sounds are involved in human speech, and hence that it is possible to express all the niceties of utterance with an alphabet of little more than a score of letters.

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  • In 1779 he was a member of the convention which framed the constitution of Massachusetts that was adopted in 1780, and is still, with some amendments, the organic law of the commonwealth and one of the oldest fundamental laws in existence.

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  • He founded the science of politics for the modern world, by concentrating thought upon its fundamental principles.

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  • Bjerknes have been usefully applied in many cases, but they cannot take the place of direct observations of currents and of the fundamental processes and conditions underlying them.

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  • Through all this runs the train of thought resulting naturally from Bruno's fundamental principles, and familiar in modern philosophy as Spinozism, the denial of particular providence, the doctrine of the uselessness of prayer, the identification in a sense of liberty and necessity, and the peculiar definition of good and evil.

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  • The result is that although the forms of apparatus utilized for this purpose are all based on the one fundamental principle of bringing about the contact of the carbide with the water which is to enter into double decomposition with it, they have been multiplied in number to a very large extent by the methods employed in order to ensure control in working, and to get away from the dangers and inconveniences which are inseparable from a too rapid generation.

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  • The philosophy of Fichte, worked out in a series of writings, and falling chronologically into two distinct periods, that of Jena and that of Berlin, seemed in the course of its development to undergo a change so fundamental that many critics have sharply separated and opposed to one another an earlier and a later phase.

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  • But as a rule most of those who have adopted this view have done so without the full and patient examination which the matter demands; they have been misled by the difference in tone and style between the earlier and later writings, and have concluded that underlying this was a fundamental difference of philosophic conception.

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  • But if complete, this Wissenschaftslehre must be able to deduce the whole organism of cognition from certain fundamental axioms, themselves unproved and incapable of proof; only thus can we have a system of reason.

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  • Of these, evidently the first must be the fundamental; to some extent it conditions the other two, though these cannot be deduced from it or proved by it.

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  • We progress by making explicit the oppositions contained in the fundamental synthesis, by uniting these opposites, analysing the new synthesis, and so on, until we reach an ultimate pair.

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  • By means of lighted candles violently dashed to the ground and extinguished the faithful were graphically taught the meaning of the greater excommunication - though in a somewhat misleading way, for it is a fundamental principle of the canon law that disciplina est excommunicatio, non eradicatio.

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  • This distinction is probably the most fundamental one, and itself supports a conclusion which is, on other grounds, becoming more and more likely, namely, that these two divisions are not related phylogenetically; but have, on the contrary, a radically different origin.

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  • Fourthly, and lastly, there was the most fundamental difficulty of all, the extent to which the pope, as the universally acknowledged head of the Church, was justified in interfering in the internal affairs of particular states.

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  • He found it impossible to reconcile Tetzel's views of indulgences with his own fundamental theory of salvation.

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  • He was suddenly forced to take up the consideration of some of the most fundamental points in the orthodox theology by the appearance of Tetzel in 1517.

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  • Apart from fundamental rejection of the papal supremacy, there was little novel in Luther's appeal.

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  • The edict of Worms was entirely in harmony with the laws of Western Christendom, and there were few among the governing classes in Germany at that time who really understood or approved Luther's fundamental ideas; nevertheless - if we except the elector of Brandenburg, George of Saxony, the dukes of Bavaria, and Charles V.'s brother Ferdinand - the princes, including the ecclesiastical rulers and the towns, commonly neglected to publish the edict, much less to enforce it.

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  • A fundamental difference as to the doctrine of the eucharist, however, stood in the way of the real union.

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  • Communion under both kinds and the marriage of the clergy were sanctioned, thus gravely modifying two of the fundamental institutions of the medieval Church.

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  • It was not until 1789 that the French Church of the middle ages lost its vast possessions and was subjected to a fundamental reconstruction by the Civil Constitution of the Clergy (1791).

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  • Of fundamental importance was the trade with the French West Indies, licit and illicit, particularly after the Peace of Utrecht (1713).

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  • Along with this goes the fundamental Catholic view of " dogmatic faith " - the expression is as old as Cyril of Jerusalem (died 386), if not older - according to which it consists in obedient assent to the voice of authority.

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  • Quenstedt (c. 1685) and others - in a controversial interest, to blacken the Calvinists still more - distinguished which articles were " fundamental."

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  • Heinrich 3 is willing to speak of "fundamental dogmas," those which must be known for salvation; those for which " implicit " faith does not suffice.

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  • It has been supposed by many that he lived to a great age, and argued that "the never-to-be-mistaken fundamental tone of his performance is the quiet talkativeness of a highly cultivated, tolerant, intelligent, old man" (Dahlmann).

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  • Luther was content with changes in one or two fundamental doctrines; Zwingli aimed at a reformation of government and discipline as well as of theology.

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  • And behind these questions is the fundamental problem of the text, which has been somewhat too slightly treated.

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  • The fundamental assumption is that each group of strips of the trapezette may be replaced by a figure for which differences of u, above those of a certain order, vanish (§ 54).

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  • The use of quadrature-formulae is important in actuarial work, where the fundamental tables are based on experience, and the formulae applying these tables involve the use of the tabulated values and their differences.

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  • That these purely mechanical arrangements have any psychic, occult or predictive meaning is a fantastic imagination, which seems to have a peculiar attraction for certain types of mind, and as there can be no fundamental hypothesis of correlation, its discussion does not lie within the province of reason.

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  • So says Dr Hort (p. 229), adding that " the very origin and fundamental nature of the Ecclesia as a community of disciples renders it impossible that the principle should rightly become obsolete."

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  • Gioja's fundamental idea is the value of statistics or the collection of facts.

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  • A fundamental code was adopted in 1845 and a provisional government was established, to endure until " the United States of America extend their jurisdiction over us."

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  • In some cases of echo, when the original sound is a compound musical note, the octave of the fundamental tone is reflected much more strongly than that tone itself.

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  • If the series were complete we should have terms which separately would correspond to the fundamental, its octave, its twelfth, its double octave, and so on.

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  • Now we may resolve these trains by Fourier's theorem into harmonics of wave-lengths X, 2X, 3A, &c., where X=2AB and the conditions as to the values of y can be shown to require that the harmonics shall all have nodes, coinciding with the nodes of the fundamental curve.

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  • If, for instance, a note is struck and held down on a piano, a little practice enables us to hear both the octave and the twelfth with the fundamental, especially if we have previously directed our attention to these tones by sounding them.

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  • The first mode of vibration gives the " fundamental tone," and the succeeding modes are termed " overtones."

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  • A " stopped pipe " in an organ is a pipe of this type, and both the fundamental and the overtones may occur simultaneously when it is blown.

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  • The fundamental mode is that in which H and K represent the ends of the pipe.

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  • The whole series of fundamental and overtones gives the complete set of harmonics of frequencies proportional to 1, 2, 3, 4, ..., and wave-lengths proportional to 1, 2, 3, 4 ..

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  • When the pipe is blown softly the fundamental is very predominant, and there is a node at the middle point.

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  • The other end of the sounder is stroked outwards with a damp cloth so as to make it sound its fundamental.

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  • The fundamental mode is that in which A and B represent the ends of the string.

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  • If D is removed and the string is bowed in the middle, the fundamental is brought out.

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  • Not only may the fundamental and its harmonics be obtained separately, but they are also to be heard simultaneously, particularly the earlier ones, which are usually more prominent than those higher in the series.

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  • But keeping r/X small we may as before form stationary waves, and it is evident that the series of fundamental and overtones will be just as with the air in pipes, and we shall have the same three types - fixed at one end, free at both ends, fixed at both ends - with fundamental frequencies respectively 41, p ' 21 V p, and I velocity in rod =velocity in air X distance between dust heaps.

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  • For a bar free at both ends the fundamental mode of vibration has two nodes, each 0.224 of the length from the end.

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  • The fundamental mode has that node only.

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  • The first overtone has frequency 6.25 that of the fundamental, and is not in the harmonic series.

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  • If the wire is stretched across a room and stroked in the middle with a damp cloth the fundamental is easily obtained, and the first harmonic can be brought out by stroking it at a quarter the length from one end.

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  • Young's modulus may be obtained for the material of a rod by clamping it in the middle and obtaining the frequency of the fundamental when Y = 412n2p.

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  • If a rod is clamped at one end and free at the other, the fundamental frequency is (i/1)¦l (n/p).

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  • When the flame is at a certain distance within the tube the air is set in vibration, and the sounding tube gives out its fundamental note continuously.

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  • But we have to remember that with strings, pipes and instruments generally the fundamental tone is accompanied by overtones, called also " upper partials," and beating within the dissonance range may occur between these overtones.

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  • Thus, suppose a fundamental 256 has present with it overtone harmonics 512, 768, 1024, 1280, &c., and that we sound with it the major seventh with fundamental 480, and having harmonics 960, 1440, &c. The two sets may be arranged thus c 256 512 768 1024 1280 h 480 960 1440, and we see that the fundamental of the second will beat 32 times per second with the first overtone of the first, giving dissonance.

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  • Take as a further example the fifth with harmonic overtones as under The fundamental and overtones of the second either coincide with or fall midway between overtones in the first, and there is no approach to a dissonant frequency of beats, and the concord is perfect.

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  • Koenig, Quelques experiences d'acoustique (1882) describes apparatus and experiments, intended to show, in opposition to Helmholtz, that beats coalesce into tones, and also that the quality of a note is affected by alteration of phase of one of its component overtones relative to the phase of the fundamental.

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  • As assemblyman, as police commissioner, as naval secretary and as president, he advocated this fundamental doctrine.

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  • His history of the War of 1812 between the United States and Great Britain, written when he was twentyfour years old, is still the standard history of that conflict, and his Winning of the West is probably the best work which has been written on American frontier life of the 19th century, a life that developed certain fundamental and distinctive American social and political traits.

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  • In mathematical geography the problem of representing the surface of a sphere on a plane is of fundamental importance; this subject is treated in the article MAP.

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  • A fundamental difference in girder bridges arises from the mode of support.

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  • Next follow chapters on the literary renaissance of the nation, its progress in art, mathematics, chemistry and natural science; the magnificent development of agriculture, modern industry, commerce and finance; and in particular its flourishing selfgovernment, " which will be exercised in the fullest freedom," and in which " the communal organization embodies in the highest degree the conception of self-government " (p. 234), and " the independent sphere of activity unlimited in its fundamental principle " (p. 235) in that " State control is exercised seldom and discreetly " (p. 236).

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  • Politically the organization of the state on the fundamental principle of national autonomy was to follow; he hoped to get round the nationalist obstacles in Bohemia by a rearrangement of districts with local delimitation according to nationality.

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  • The first and fundamental characteristic of Ultramontanism is its championship of a logical carrying out of the so-called " papalistic system," the concentration, that is, of all ecclesiastical power in the person of the Roman bishop. This.

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  • That science must be left free to determine the aims of her investigation, to select and apply her own methods, and to publish the results of her researches without restraint, is a postulate which Ultramontanism either cannot understand or treats with indifference, for it regards as strange and incredible the fundamental law governing all scientific research - that there is for it no higher aim than the discovery of the truth.

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  • Again, the attempt to subordinate all intellectual life to ecclesiastical control was a feature of the medieval Church, and the fundamental attitude of that Church towards heresy was fixed during the same period.

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  • Thus Ultramontanism is not to be conceived as a theological movement, but as the programme of a party whose principles are in fundamental opposition to modern culture, modern education, modern tolerance and the modern state - a party which seeks to carry out its campaign against the society of to-day, not by bridging the gulf betwixt creed and creed, but by widening it, by awakening religious fanaticism, and by closing the way to a peaceful co-operation of Catholics and non-Catholics in the highest tasks of culture and human civilization.

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  • The former, besides embodying catechetical instruction in Christian conduct (the "Two Ways"), which goes back in substance to the early apostolic age and is embodied also in "Barnabas," depicts in outline the fundamental usages of church life as practised in some conservative region (probably within Syria) about the last quarter of the 1st century and perhaps even later.

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  • The result of this act of 1873 was to effect a fundamental change in the judicature system.

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  • The last subdivision is fundamental.

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  • Their number, as a multiple of four, was prescribed by the quaternary partition of the heavens, fundamental in Chinese astronomy.

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  • They served, in fact, and still serve (though with astrological ends in view), the precise purpose of " fundamental stars " in European astronomy.

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  • In 1848 the Grondwet, or fundamental law of the Netherlands, recognized for the first time the responsibility of the Dutch nation for its colonial dependencies.

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  • Metaphysics, again, is concerned with the ultimate problems of matter and spirit; it endeavours to go behind the phenomena of sense and focus its attention on the fundamental truths which are the only logical bases of natural science.

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  • Mayer entirely ignored the grand fundamental principle laid down by Sadi Carnot - that nothing can be concluded as to the relation between heat and work from an experiment in which the working substance is left at the end of an operation in a different physical state from that in which it was at the commencement.

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  • We must be content to treat the aether as a plenum, which places it in a class by itself; and we can thus recognize that it may behave very differently from matter, though in some manner consistent with itself - a remark which is fundamental in the modern theory.

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  • The greatest obstacle to such a search for the fundamental medium is the illimitable complexity of matter, as contrasted with the theoretical simplicity and uniformity of the physical agencies which connect together its different parts.

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  • The laws of thermodynamics, including the fundamental principle that a physical property, called temperature, can be defined, which tends towards uniformity, are thus relations between the properties of types of material bodies that can exist permanently in presence of each other; why they so maintain themselves remains unknown, but the fact gives the point d'appui.

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  • The fundamental character of energy in material systems here comes into view; if there were any other independent scalar entity, besides mass and energy, that pervaded them with relations of equivalence, we should expect the existence of yet another set of qualities analogous to those connected with temperature.

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  • The most fundamental experimental confirmation that the theory of the aether has received on the optical side in recent years has been the verification of Maxwell's proposition that radiation exerts mechanical force on a material system, on which it falls, which may be represented in all cases as the resultant of pressures operating along the rays, and of intensity equal at each point of free space to the density of radiant energy.

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  • He thus did away with the fundamental distinction between Jews and Gentiles.

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  • Other fundamental principles of Paul's failed of comprehension and acceptance, but the belief finally prevailed that the observance of Jewish law and custom was unnecessary, and that in the Christian Church there is no distinction between the circumcised and the uncircumcised.

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  • This double conception of salvation and of the means thereto was handed down to the Church of subsequent generations and became fundamental in its thought.

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  • Agreeing as they did in this fundamental theory, all differences were of minor concern.

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  • However much it agreed in admiration of the ancients, it differed absolutely in its preservation of the fundamental ideas of Christianity.

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  • Their object had been to purify the Church of medieval accretions, and to restore the primitive model in the light of the new learning; the idea of rival " churches," differing in their fundamental doctrines and in their principles of organization, existing side by side, was as abhorrent to them as to the most rigid partisan of Roman centralization.

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  • The anathema of the Roman Church had fallen upon all the fundamental doctrines for which the Reformers had contended and died; the right of free discussion within the limits of the creeds, which had given room for the speculations of the medieval philosophers, was henceforth curtailed and confined; and the definitions of the schoolmen were for ever exalted by the authority of Rome into dogmas of the Church.

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  • The fundamental type of the Arabic sanctuary can be traced through all the Semitic lands, and so appears to be older than the Semitic dispersion; even the technical terms are mainly the same, so that we may justly assume that the more developed ritual and priesthoods of the settled Semites sprang from a state of things not very remote from what we find among the heathen Arabs.

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  • So fundamental a change as lies between Hosea and the Priestly Code was only possible in the general dissolution of the old life of Israel produced by the Assyrians and by the prophets; and indeed the new order did not take shape as a system till the exile had made a great change in old institutions.

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  • Legendre's theorem is a fundamental one in geodesy, and his contributions to the subject are of the greatest importance.

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  • In fundamental principles he follows almost entirely Locke and Pufendorf; but he works out with great skill the theory of moral obligation, referring it to the command or will of God.

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  • In 1636 Hartford was the meeting-place of the first general court of the Connecticut colony; the Fundamental Orders, the first written constitution, were adopted at Hartford in 1639; and after the union of the colonies of New Haven and Connecticut, accomplished by the charter of 1662, Hartford became the sole capital; but from 1701 until 1873 that honour was shared with New Haven.

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  • The fundamental idea of Soxhlet's method for sterilizing milk is to boil it for forty minutes in small bottles holding just enough for one meal, and closing the same with an impervious stopper, which is only removed just before use.

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  • The Mathesis universalis, a more elementary work, contains copious dissertations on fundamental points of algebra, arithmetic and geometry, and critical remarks.

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  • In impressive and persuasive oratory he sets before Israel, in a form adapted to the needs of the age in which he lived, the fundamental principles which Moses had taught.

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  • This is the fundamental thought which is insisted on and developed in Deuteronomy with great eloquence and power.

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  • The fundamental peculiarity of the movement lies in the fact that it is a criticism of what is supreme in Israel - its religion, and that it has rendered possible a true appreciation of this by showing that, like all living and life-giving systems of thought, belief and practice, the religion of Israel was subject to development.

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  • Other important works in which English and American scholars have co-operated are the Encyclopaedia Biblica (1899-1903) and Hastings' Bible Dictionary (1898-1904) - the latter less radical, but yet on the whole based on acceptance of the fundamental positions of Vatke, Graf, Wellhausen.

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  • And this belief was the fundamental principle that determined the marking off of the writings of the first, or apostolic, age from the rest.

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  • There are some fundamental divergencies in the representations of the traditions of both David and Saul (qq.v.), and there is indirect and 1 Cf.

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  • Sabine remarked when awarding him the Rumford medal of the Royal Society in 1872, contains a fundamental principle of spectrum analysis, and though for a number of years it was overlooked it entitles him to rank as one of the founders of spectroscopy.

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  • The fundamental idea that Yahweh guides His people by the word of revelation is older than the separation of special classes of theocratic organs; Moses, indeed, is not only prophet and priest, but judge and ruler.

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  • In 1826 the society finally resolved that its fundamental law be fully and distinctly recognized as excluding the circulation "of those Books, or parts of Books, which are usually termed Apocryphal."

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  • Authoritative standards and instruments for the measurement of electricity, based on the fundamental units of the metric system, have been placed in the Electrical Laboratory of the Board of Trade.

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  • But it is evident, and Smith himself felt, that their agreements were much more fundamental than their differences; and, if we regard them as historical forces, they must be considered as working towards identical ends.

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  • Of all the fundamental ideas of Gnosticism of which we have so far treated, it can with some certainty be assumed that they were in existence before the rise of Christianity and the influence of Christian ideas on the development of Gnosticism.

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  • But the fundamental ideas of Gnosticism and of early Christianity had a kind of magnetic attraction for each other.

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  • The fundamental assumption is that the medium contains positively and negatively charged ions or electrons which are acted on by the periodic electric forces which occur in wave propagation on Maxwell's theory.

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  • The fundamental features of knowledge, whether as activity or as sum of apprehended fact, and of conduct had been deduced as elements necessary in the attainment of self-consciousness.

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  • Its manifoldness is not then to be taken as excluding its fundamental unity; the divisions which our ordinary perception and thought introduce into it have not absolute validity, but are to be interpreted as the outcome of the single formative energy or complex of forces which is the inner aspect, the soul of nature.

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  • The dynamical series of stages in nature, the forms in which the ideal structure of nature is realized, are matter, as the equilibrium of the fundamental expansive and contractive forces; light, with its subordinate processes - magnetism, electricity, and chemical action; organism, with its component phases of reproduction, irritability and sensibility.'

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  • His tendency towards mystical speculation formed a not less fundamental quality of his mind than its strong grasp of positive scientific truth.

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  • It was an enlarged sketch, prepared in four months, in which more stress was laid on fundamental theories than on the facts, which are more rigidly linked together than their historical sequence warrants.

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  • But many of the directions are much too serious and fundamental to have been given in this form; one can hardly imagine that Paul considered Timothy (or Titus) still in need of elementary advice and warning upon such matters, and especially on personal purity.

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  • They were formerly regarded as older thaii the schists and were designated on this account primitive, fundamental, &c. They have also been called Laurenlian, a name which is still sometimes applied to them.

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  • They have now become very long and elaborate documents, seven, eight or ten times as long as the Federal Constitution, and containing a vast number of provisions on all sorts of subjects, many of them partaking of the nature of ordinary statutes passed by a legislature rather than safeguards suitable to a fundamental instrument.

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  • It is a fundamental principle of the American system that the national government possesses a direct and immediate authority over all its citizens, quite irrespective of their allegiance and duty to their own state.

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  • Following what was then deemed a fundamental maxim of political science, they divided the government into three departments, the legislative, the executive and the judicial, and sought to keep each of these as far as possible detached from and independent of the other two.

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  • To compare it on this score with the fundamental proposition of Archimedes, the latter must be put into a form similar to Snell's.

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  • The generality of treatment is indeed remarkable; he gives as the fundamental property of all the conics the equivalent of the Cartesian equation referred to oblique axes (consisting of a diameter and the tangent at its extremity) obtained by cutting an oblique circular cone in any manner, and the axes appear only as a particular case after he has shown that the property of the conic can be expressed in the same form with reference to any new diameter and the tangent at its extremity.

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  • It is clearly the form of the fundamental property (expressed in the terminology of the "application of areas") which led him to call the curves for the first time by the names parabola, ellipse, hyperbola.

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  • It must, however, be distinctly borne in mind that there is a fundamental difference between the eye of Vertebrates and of all other groups in the fact that in the Vertebrata the retinal body is itself a part of the central nervous system, and not a separate C E k e FIG.

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  • Accordingly in this dialogue he attacked Plato's fundamental position, both in its written and in its unwritten presentment, as a.

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  • On either alternative, however, " the first discourses " mentioned may have originally been a separate discourse; for Book F begins quite fresh with the definition of the science of being, long afterwards called " Metaphysics," and Book Z begins Aristotle's fundamental doctrine of substance.

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  • Things are individual substances, without which there is nothing - this is the fundamental point of Aristotelianism, as against Platonism, of which the fundamental point is that things are universal forms without which there becomes nothing.

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  • In brief then the common ground of the Categories and the Metaphysics is the fundamental position that all things are substances having belonging to them universals and attributes, which have no separate being as Plato falsely supposed.

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  • Throughout his whole subsequent life, however, he retained the fundamental doctrine, which he had learnt from Plato, and Plato from Socrates, that virtue is essential to happiness.

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  • On the other hand, there are still more fundamental points in which the first three books of the Eudemian Ethics are a very inadequate preparation for the common books.

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  • Aristotle then wrote three moral treatises, which agree in the fundamental doctrines that happiness requires external fortune, but is activity of soul according to virtue, rising from morality through prudence to wisdom, or that science of the divine which constitutes the theology of his Metaphysics.

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  • But at bottom there remains the fundamental position of Aristotelianism, that all things are substances, individuals separate though related; that some things are attributes, real only as being some individual substance somehow affected, or, as we should say, modified or determined; and that without individual substances there is nothing, and nothing universal apart from individuals.

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  • In the pursuit of this inquiry he rashly invaded other departments of science, and much of the Common Place Book is occupied with a polemic, as vigorous as it is ignorant, against the fundamental conceptions of the infinitesimal calculus.

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  • To Berkeley, however, the difference is fundamental; sense ideas are not due to our own activity; they must therefore be produced by some other will - by the divine intelligence.

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  • As a piece of consecutive reasoning upon a fundamental Christian doctrine it deservedly attracted great attention.

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  • The fundamental objection to empiricism is that it fails to give an accurate explanation of experience; individual impressions as such are momentary, and their connexion into a body of coherent knowledge presupposes mental action distinct from mere receptivity.

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  • Davis, he secured the passage of the Wade-Davis Bill (for the reconstruction of the Southern States), the fundamental principle of which was that reconstruction was a legislative, not an executive, problem.

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  • The quantity N may serve to fix the third fundamental unit.

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  • The objections raised from the Nonconformist point of view were numerous and varied, but they were thoroughly discussed between the first meeting on the 15th of April and the last on the 24th of July 1661; the bishops agreeing to meet the Puritan wishes on a few minor points but on none of fundamental importance.

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  • The average American citizen is only too prone to carry his national political predilections into local elections, and to vote for the local nominees of his party, without regard to the question of fitness of candidates and the fundamental difference of issues involved.

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  • The fundamental idea of this work is that human life is in reality only a great education, of which perfection is the aim.

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  • As to the origin of knowledge, Kant's position is that sense, outer and inner, affected by things in themselves, receives mere sensations or sensible ideas (Vorstellungen) as the matter which sense itself places in the a priori forms of space and time; that thereupon understanding, by means of the synthetic unity of apperception, " I think " - an act of spontaneity beyond sense, in all consciousness one and the same, and combining all my ideas as mine in one universal consciousness - and under a priori categories, or fundamental notions, such as substance and attribute, cause and effect, &c., unites groups of sensations or sensible ideas into objects and events, e.g.

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  • Here he was for the first time grappling with a fundamental difficulty in metaphysical idealism which is absent from realism, namely, the difficulty of explaining the identity of a thing, e.g.

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  • But, while he fully recognized his indebtedness to his master, he differed from him profoundly in one fundamental respect.

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  • But while he was in fundamental agreement with the first two positions of Kant, he differed from the third; he did not believe that the causes of sensible phenomena can be unknown things in themselves.

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  • Here he appeals to Schopenhauer's doctrine that will of some sort is the fundamental fact of mental life.

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  • He agrees with Schopenhauer that will is the fundamental form of the spiritual.

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  • Like these predecessors, and like his younger contemporary Paulsen, in calling will fundamental he includes impulse (Trieb).

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  • He agrees with Hegel that there are two fundamental identities, the identity of all reason, and the identity of all reason and all being.

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  • Hence his personal or pluralistic idealism is the view that the world is a plurality of many coexisting and interacting centres of experience, while will is the most fundamental form of experience.'

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  • The chief results we have found against materialism are that bodies evolving account neither for the origin of themselves, their nature, and their fundamental order of resemblance and difference, nor for the nature and origin of consciousness, nor even as yet for their becoming good for conscious beings.

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  • By the act of 1188, the fundamental charter of the Roman commune, the people recognized the supremacy of the pope over the senate and the town, while the pope on his part sanctioned the legal existence of the commune and of its government and assemblies.

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  • The fundamental motive for his proceedings at that period was not nepotistic tendencies - which doubtless played their part, but only a secondary one - but his.

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  • To this fundamental axiom of his policy he remained faithful throughout all vicissitudes.

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  • But the most fundamental spiritual progress of the papacy was made by its devoted missionaries.

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  • These reforms, embodied in the Civil Constitution of the Clergy, were part of the new Fundamental Law of the kingdom.

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  • Its Fundamental Law of 1831, conceived in the spirit of the English Whigs, and later imitated in the European countries, granted liberty of worship and of education.

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  • The latter was a follower of Paul of Samosata, bishop of Antioch, who had been excommunicated in 269, but his theology differed from that of his master in a fundamental point.

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  • His letter, preserved by the imperial biographer, Eusebius of Caesarea, is a state document inspired by a wisely conciliatory policy; it made out both parties to be equally in the right and in the wrong, at the same time giving them both to understand that such questions, the meaning of which would be grasped only by the few, had better not be brought into public discussion; it was advisable to come to an agreement where the difference of opinion was not fundamental.

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  • For the statement of the motions of these bodies uniform motion in a circle was employed as a fundamental type, combinations of motions of this type being constructed to fit the observations.

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  • Descartes helped to generalize and establish the notion of the fundamental character of uniform motion in a straight line, but otherwise his speculations did not point in the direc tion of sound progress in dynamics; and the next substantial advance that was made in the principles of the subject was due to Huygens (1629-1695).

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  • At the opening of the Convention the Montagnard group comprised men of very diverse shades of opinion, and such cohesion as it subsequently acquired was due rather to the opposition of its leaders to the Girondist leaders than to any fundamental hostility between the two groups.

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  • In practice the time required to reach these various conditions of equilibrium would be too great for experimental demonstration, but the theoretical consideration of vapour pressures is of fundamental importance.

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  • On the fundamental hypotheses of the molecular theory, Value we must regard a solution as composed of a number osmotic of separate particles of solute, scattered through- p out the solvent.

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  • The fundamental phenomenon they take to be the identity of vapour pressure, and consider the combination necessary to reduce the vapour pressure of a solution to the right value.

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  • These are they who, enlarging day by day their sumptuous edifices, encircling them with lofty walls, lay up in them their incalculable treasures, imprudently transgressing the bounds of poverty and violating the very fundamental rules of their profession."

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  • Rationalism within the Christian Church differs, however, from that which is commonly understood by the term, inasmuch as it accepts as revealed the fundamental facts of its creed.

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  • More generally, philosophic rationalism is opposed to empirical theories of knowledge, inasmuch as it regards all true knowledge as deriving deductively from fundamental elementary concepts.

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  • It is based on Descartes' fundamental principle that knowledge must be clear, and seeks to give to philosophy the certainty and demonstrative character of mathematics, from the a priori principle of which all its claims are derived.

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  • These two great rationalist movements, the critical and the philosophical, ultimately led to, or were accompanied by, the gradual reduction of religion to a system of morals based at the most on two or three fundamental religious principles.

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  • Delage has distinguished as multiplication those cases in which the new individual arises from a mass of cells which remain a part of the maternal tissues during differentiation, reserving the term reproduction for those cases in which the spore or cell which is the starting-point of the new individual begins by separating from the maternal tissues; but the distinction is inconvenient in practice and does not appear to carry with it any fundamental biological significance.

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  • Otherwise his scepticism is subordinate to orthodox belief, the fundamental dogmas of the church seeming to him intuitively evident.

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  • A new departure was taken by the Eleatic Parmenides (q.v.), who, expressly noting that, when Thales and his successors attributed to the supposed element changing qualities, they became pluralists, required that the superficial variety of nature should be strictly distinguished from its fundamental unity.

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  • Like the first statute it is a code in itself, and contains the famous clause De donis conditionalibus, " one of the fundamental institutes of the medieval land law of England."

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  • The fundamental principle of thought is, according to him, the law of identity; logical thinking is real thinking.

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  • According to the fundamental law (Grondwet) of 1887, they are chosen by the provincial states, not only from amongst those who bear the greatest burden of direct taxation in each province, but also from amongst great functionaries and person's of high rank.

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  • The fundamental law of 1848 enacted that the first chamber of the StatesGeneral should be elected by the Provincial Estates instead of being appointed by the king, and that the second chamber should be elected directly by all persons paying a certain amount in taxation.

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  • While the fundamental constituent is a cellulose in many Mucorini and other Phycomycetes, in others bodies like pectose, callose, &c., commonly occur, and Wisselingh's researches show that chitin, a gluco-proteid common in animals, forms the main constituent in many cases, and is probably deposited directly as such, though, like the other substances, it may be mixed with cellulose.

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  • With Locke, Hume professes to regard this problem as virtually covered or answered by the fundamental psychological theorem; but the superior clearness of his reply enables us to mark with perfect precision the nature of the difficulty inherent in the attempt to regard the two as identical.

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  • Now if this mode of treatment be accepted as the only possible method, and its results assumed to be conclusive as regards the problem of knowledge, the fundamental peculiarity of cognition is overlooked.

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  • Moreover, if we remain faithful to the fundamental conception that the contents of the mind are merely matters of experience, it is evident in the first place that as impressions are strictly individual, ideas also must be strictly particular, and in the second place that the faculties of combining, discriminating, abstracting and judging, which Locke had admitted, are merely expressions for particular modes of having mental experience, i.e.

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  • It is almost superfluous to remark, first, that Hume here deliberately gives up his fundamental principle that ideas are but the fainter copies of impressions, for it can never be maintained that order of disposition is an impression, and, secondly, that he fails to offer any explanation of the mode in which coexistence and succession are possible elements, of cognition in a conscious experience made up of isolated presentations and representations.

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  • Hume's theory of mathematics - the only one, perhaps, which is compatible with his fundamental principle of psychology - is a practical condemnation of his empirical theory of perception.

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  • It will probably be sufficient to indicate the problem as conceived by Hume, and the relation of the method he adopts for solving it to the fundamental doctrine of his theory of knowledge.

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  • While it is evident that some such conclusion must follow from the attempt to regard the cognitive consciousness as made up of disconnected feelings, it is equally clear, not only that the result is selfcontradictory, but that it involves certain assumptions not in any way deducible from the fundamental view with which Hume starts.

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  • The writers of the Scottish school, Reid in particular, did undoubtedly indicate some of the weaknesses in Hume's fundamental conception, and their attempts to show that the isolated feeling cannot be taken as the ultimate and primary unit of cognitive experience are efforts in the right direction.

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  • From this date until the Belgian revolt of 1830, the history of Holland and Belgium is that of two portions of one political entity, but in the relations of those two portions were to be found from the very outset fundamental causes 183v tending to disagreement and separation.

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  • The Fundamental Law promulgated by William I.

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  • It is worthy of notice that this intercourse with Cromwell occurred when Baxter was summoned to London to assist in settling "the fundamentals of religion," and made the memorable declaration, in answer to the objection that what he had proposed as fundamental "might be subscribed by a Papist or Socinian," - "So much the better, and so much the fitter it is to be the matter of concord."

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  • Although rivers rising in more favoured regions may traverse deserts on their way to the sea, as in the case of the Nile and the Colorado, the fundamental physical condition of an arid area is that it contributes nothing to the waters of the ocean.

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  • The discrepancies are chiefly due to the error of the fundamental assumption that the rate of cooling is the same at the same temperature under the very different conditions existing in the two parts of the experiment.

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  • This agreement was a very satisfactory test of the accuracy of the fundamental law of conduction, as the gradients and periods varied so widely in the two cases.

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  • His scheme was first to work out, in a separate treatise De corpore, a systematic doctrine of Body, showing how physical phenomena were universally explicable in terms of motion, as motion or mechanical action was then (through Galileo and others) understood - the theory of motion being applied in the light of mathematical science, after quantity, the subject-matter of mathematics, had been duly considered in its place among the fundamental conceptions of philosophy, and a clear indication had been given, at first starting, of the logical ground and method of all philosophical inquiry.

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  • But though about this time he had got ready all or most of the materials for his fundamental work on Body, not even now was he able to make way with its composition, 1 The book, of which the copies are rare (one in Dr Williams's library in London and one in the Bodleian), was printed in quarto size (Paris, 1642), with a pictorial title-page (not afterwards reproduced) of scenes and figures illustrating its three divisions, " Libertas," " Imperium," " Religio."

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  • The fundamental form is the tetrahedron.

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  • These rights the central government is by fundamental law bound.

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  • The sphere of the state authority embraced most of the powers of government, except, for instance, those relating to foreign affairs, army and navy, inter-state commerce, coinage a.nd the tariff; the powers of the central government were specified in the fundamental law.

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  • The fundamental postulates of Epicureanism are atoms and the void (iiroya Kai Kevov).

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  • About the time that the Prussian parliament was thus created, and that the emperor Ferdinand resigned, the Frankfori parliament succeeded in formulating the fundamental me queslaws, which were duly proclaimed to be those of Ger- tion of tin many as it was now to be constituted.

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  • In addition to the political strife and anxiety due to this fundamental cleavage within the nation, Germany was troubled during the first decade of the 20th century by friction and jealousies arising out of the federal constitution Prussia of the Empire and the preponderant place in it of Prussia.

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  • But beneath it all lay a deep seriousness of purpose and a firm faith in what to him were the fundamental truths of religion.

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  • The problems discussed under this fictitious guise are with rare exceptions fundamental problems for every age; and, whatever may be thought of the positions maintained, the discussions are hardly ever feeble or trivial.

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  • A second protagonist of error, this time of Gentile philosophic criticism directed against fundamental Judaism, is Apion, the notorious anti-Jewish Alexandrine grammarian of Peter's day; while the role of upholder of astrological fatalism (Genesis) is played by Faustus, father of Clement, with whom Peter and Clement debate at Laodicea.

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  • While the Reichsrath, transferred to Kremsier, was discussing " fundamental rights " and the difficult question of how to reconcile the theoretical unity with the actual dualism of the empire, the knot was being cut by the sword on the plains of Hungary.

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  • Obstruction was continued by a section of the independence party; and Kossuth, seeing his authority ignored, resigned the leadership. The obstructionists now raised the cry that the German words of command i n the joint army must be replaced by Magyar words in the regiments recruited from Hungary - a demand which, apart from its disintegrating influence on the army, the crown considered to be an encroachment upon the royal military prerogatives as defined by the Hungarian Fundamental Law XII.

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  • The partisans of the Magyar words of command based their claim upon clause 12 of the Fundamental Law XII.

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  • A series of fundamental laws were carried, which formally established parliamentary government, with responsibility of ministers, and complete control over the budget, and there were included a number of clauses guaranteeing personal rights and liberties in the way common to all modern constitutions.

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  • On the proclamation of papal infallibility in 1870, the government took the opportunity of declaring that the concordat had lapsed, on the ground that there was a fundamental change in the character of the papacy.

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  • It was received with delight throughout Bohemia, and the Czechs drew a draft constitution of fundamental rights.

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  • The fundamental formation consists of crystalline rocks.

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  • The conception of the tomb as the residence of the dead is the fundamental notion that underlies all the ritual observahces in connection with the dead, just as the idea of the temple as the dwelling-place of the god is the basis of the divine cult.

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  • In its logical aspect pragmatism originates in a criticism of fundamental conceptions like "truth," "error," "fact" 2 The New English Dictionary quotes for nine distinct senses of the word, of which the philosophic is the eighth.

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  • The most fundamental external differentiation is into holdfast and shoot.

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  • Altogether it is difficult on morphological grounds to resist the conclusion that Florideae present the same fundamental phenomenon of alternation of generations as prevails in the higher plants.

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  • The principal fruit of the observations was a catalogue of about a thousand stars, the places of which were determined by the methods usually employed in the 16th century, connecting a fundamental star by means of Venus with the sun, and thus finding its longitude and latitude, while other stars could at any time be referred to the fundamental star.

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  • The fundamental factor in these dissensions was the rivalry between the princes of Spoleto and the Carolingian house, represented by the king of Germany.

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  • Main as chief assistant at the Royal Observatory, Greenwich, and at once undertook the fundamental task of improving astronomical constants.

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  • A fundamental divergence of principle, however, existed and was soon indicated by his speedy separation from the party and alienation from Mill himself.

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  • Finally, it is important to remember that the fundamental characteristic of a living organism is its power of response to environment, a response or series of responses being necessary in a continuous environment for the normal facies of the organism to appear, and necessary in a shifting environment if the organism is to change suitably and not to perish.

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  • With regard to adaptations, it is becoming more and more apparent, as experimental knowledge advances, that it is a fundamental property of every living organism in every stage of its existence to display adaptive response to its environment.

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  • The fundamental conception is always that the Deity resides - or exercises a peculiarly powerful influence - in some definite locality; and to this locality the devout repair, either in reverence of their god, or in quest of his assistance and bounty.

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  • He collaborated in the translation of Comte's system of Positive Polity (4 vols., 1875 - 1879), translated his Discourse on the Positive Spirit (1903),, and wrote a biography of Comte for a translation of the first two chapters of his Cours de philosophie positive, entitled Fundamental Principles of Positive Philosophy (1905).

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  • A fundamental change of the whole idea from the specifically Christian point of view, then, is signified by the conclusion of ch.

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  • Indeed, though the partisans of phlogiston did not surrender without a struggle, the history of science scarcely presents a second instance of a change so fundamental accomplished with such ease.

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  • What the Old Testament says of the worship of God is little, and that little worthless, while its writers are unacquainted with the second fundamental truth of religion, the immortality of the soul.

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  • But in the case of a pupil who had passed through a good secondary school it would be as safe to rely for supplementary information under this head on the testimony of his teachers, as it is to rely on their evidence with regard to the fundamental and all-important element on which no examina- .tion supplies direct information - personal character.

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  • The nature of axiomatic certainty is part of the fundamental problem of logic and metaphysics.

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  • Jesus replied with a stern rebuke, addressing the questioners as hypocrites, and exposing the falsity of a system which allowed the breach of fundamental commandments in order that traditional regulations might be observed.

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  • But the idea, though fundamental, is in another sense final, in the process of the world.

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  • But they have both been urged with sufficient ability to arrest its progress and to call for a reconsideration and restatement of the fundamental principle of idealist philosophy and its relation to the fundamental problems of religion.

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  • However, the fact that various recent birds possess the same kind of caudal skeleton, likewise without a pygostyle, although reduced to at least 13 vertebrae, shows that the two terms do not express a fundamental difference.

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  • In 1790 he published his important Versuch, die Metamorphose der Pflanzen zu erkleiren, which was an even more fundamental achievement for the new science of comparative morphology than his discovery some six years earlier of the existence of a formation in the human jaw-bone analogous to the intermaxillary bone in apes; and in 1791 and 1792 appeared two parts of his Beitrage zur Optik.

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  • Hence the name Rosmini gives it of ideal being; and this he laid down as the fundamental principle of all philosophy and the supreme criterion of truth and certainty.

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  • Of fundamental importance are the Amarna cuneiform tablets discovered in 1887, containing some of the political correspondence between Western Asia and Egypt for a few years of the reigns of Amenophis III.

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  • The picture which the evidence furnishes is as fundamental for our conception of Palestine during the monarchies as were the Amarna tablets for the age before they arose.

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  • The history of these centuries is of fundamental importance in any attempt to " reconstruct " biblical history., The fall of Samaria and Judah was a literary as well as a political catastrophe, and precisely how much earlier material has been 6 Cf.

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  • The fundamental rocks of the island are gneisses, through which cut the feldspathic granites which form the Haghier massif.

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  • The solar day is the fundamental unit of time, not only in daily life but in astronomical practice.

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  • The question of a possible variability in the length of the day is one of fundamental importance.

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  • He was the first American statesman to make education by the state a fundamental article of democratic faith.

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  • In the succeeding session his service was marked by a report, from which resulted the present monetary system of the United States (the fundamental idea of its decimal basis being due, however, to Gouverneur Morris); and by the honour of reporting the first definitely formulated plan for the government of the western territories,' that embodied in the ordinance of 1784.

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  • Separation from European politics - the doctrine of" America for Americans "that was embodied later in the Monroe declaration - was a tenet cherished by Jefferson as by other leaders (not, however, Hamilton) and by none cherished more firmly, for by nature he was peculiarly opposed to war, and peace was a fundamental part of his politics.

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  • The constitution of the free state is republican, and, by the fundamental law of 1875, amended in 1905 and again in 1907, consists of two assemblies.

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  • While he emphasizes in the later sophists the consequences of the fundamental error of sophistry - its indifference to truth - he does honour to the genius and the originality of the leaders of the movement.

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  • The contrast between the Himalayas and the Peninsula is one of fundamental importance.

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  • That the state should appropriate to itself a direct share in the produce of the soil is a fundamental maxim of Indian finance that has been recognized throughout the East from time immemorial.

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  • The fundamental thought is with him the unsatisfactoriness of abstraction or one-sidedness.

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  • The explanation of these discrepancies in the fundamental constant is not at all clear, but they may be taken as an illustration of the difficulties of manipulation attending the use of this instrument, to which reference has already been made.

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  • So Much Uncertainty Still Prevails On This Fundamental Point That It Cannot Be Passed Over Without Reference.

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  • According to its discoverer it represents the oldest account of the Babylonian Deluge story extant; and he considers it of fundamental importance for determining the age of Israel's earliest traditions, since he would regard it as having been written "before Abraham had left his Babylonian home in Ur of the Chaldees."

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  • The abovequoted assertion as to the substantial identity between philosophy and religion is indeed repeated almost totider y n verbis by many of the later scholastic writers, but its significance altogether depends upon the selection of one or other term of the identity as fundamental or primary.

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  • He does not start with the datum of theology as the completed body of truth, requiring only elucidation and interpretation; his fundamental thought is that of the universe, nature, TO 7rav, or God, as the ultimate unity which works itself out into the rational system of the world.

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  • The development of feudal society, of centralizing kingship and ultimately of a system of common law, brought about great changes which all hinge on the fundamental fact that the kings, while increasing the power of the state in other respects, surrendered it completely as regards the relations between the peasants and their lords.

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  • This empirical groundwork of Aristotle's logic was accepted by the Epicureans, who enunciated most distinctly the fundamental doctrine that all sensations are true of their immediate objects, and falsity begins with subsequent opinions, or what the moderns call " interpretation."

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  • Nor could a combination of conceptions make a difference so fundamental as that between conceiving and believing.

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  • These are the fundamental questions of the science of inference.

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  • It is a matter of words whether or not we should call this sensory belief a judgment; but it is no matter of choice to the logician, who regards all the constituents of inference as judgments; for the fundamental constituents are sensory beliefs, which are therefore judgments in the logical sense.

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  • Sense is the evidence of inference; directly of analogical and inductive, directly or indirectly of deductive, inference; and therefore, if logic refuses to include sensory beliefs among judgments, it will omit the fundamental constituents of inference, inference will no longer consist of judgments but of sensory beliefs plus judgments, and the second part of logic, the logic of judgment, the purpose of which is to investigate the constituents of inference, will be like Hamlet without the prince of Denmark.

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  • Starting, then, from this fundamental distinction between judgments of existence and judgments of non-existence, we may hope to steer our way between two extreme views which emanate from two important thinkers, each of whom has produced a flourishing school of psychological logic.

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  • If, contrary to usage, we choose to call the latter a judgment of existence, there is no use in quarrelling about words; but we must insist that new terms must in that case be invented to express so fundamental a difference as that between judgments about real men and judgments about ideal centaurs.

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  • History Logic cannot dispense with the light afforded by its history so long as counter-solutions of the same fundamental problems continue to hold the field.

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  • But we are still on the ground of common opinion, and these doctrines are not yet laid down as fundamental to the development.

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  • In any case, however, the problem as to first principles remains fundamental.

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  • Yet it was the fundamental form of induction as it was conceived throughout the scholastic period.

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  • In the second place, it is in the form in which it was raised in connexion with the individualistic theory of perception with which the Stoics started, that one question of fundamental importance, viz.

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  • From the subjectivist point of view, which is manifestly fundamental through most of this, such arguments suasory of the Pyrrhonist suspense of judgment (i ro X i i) are indeed hard to answer.

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  • A fundamental contrast to the school of Bacon and of Locke is afforded by the great systems of reason, owning Cartesian inspira tion, which are identified with the names of Spinoza and Leibnitz.

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  • Yet in a less ambitious form the fundamental contentions of Hegel's method tend to find a qualified acceptance.

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  • In his fundamental theory of judgment his obligation is to Bradley.

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  • It is to Lotze, however, that he owes most in the characteristic feature of his logic, viz., the systematic development of the types of judgment, and inference from less adequate to more adequate forms. His fundamental continuity with Bradley may be illustrated by his definition of inference.

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  • As will be seen later, the fundamental i, j, k of quarternions, with their reciprocals, furnish a set of six quantities which satisfy the conditions imposed by Servois.

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  • Hence, and in this lies the main element of the symmetry and simplicity of the quaternion calculus, all systems of three mutually rectangular unit lines in space have the same properties as the fundamental system i, j, k.

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  • This fundamental system, therefore, becomes unnecessary; and the quaternion method, in every case, takes its reference lines solely from the problem to which it is applied.

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  • The leading thesis seems to have been that all the great religions of the world originated from the same supreme source, and that they were all to be regarded as so many divers expressions of one and the same fundamental truth, or "Wisdom Religion," in such form and dress as was best adapted to suit the times and the people for whose spiritual growth and development religious instruction was required.

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  • This new fundamental law was promptly adopted by the people, i.e.

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  • The fundamental principle of the System der Ethik is carried out with great strength of thought, and with an unusually complete command of ethical material.

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  • The mother-idea of his poems, he says, is democracy, and democracy "carried far beyond politics into the region of taste, the standards of manners and beauty, and even into philosophy and theology" His Leaves certainly radiates democracy as no other modern literary work does, and brings the reader into intimate and enlarged relations with fundamental human qualities - with sex, manly love, charity, faith, self-esteem, candour, purity of body, sanity of mind.

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  • Hence, our evidence for serpent-cults everywhere represents varying stages in the historical development of a few related fundamental ideas which are psychologically explicable; and it is impossible to deal with the subject geographically or historically.

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  • There is ample material for purely comparative purposes and for an estimate both of the general fundamental ideas and of the artificially-developed secondary speculations; but for any scientific research it is necessary to observe the social, religious and historical conditions of the provenance and period of the evidence, and for this the material is often insufficient.

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  • In the order of human knowledge the particular facts of experience come first and are the basis of generalized laws or causes (the Scholastic notiora nobis); but in the order of nature the latter rank first as the self-existent, fundamental truths of existence (notiora naturae).

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  • The intricacies of ritual and theology are ignored, and ancient laws which contradict the fundamental beliefs are unhesitatingly abrogated or denied.

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  • Such means would contradict its fundamental character, for as the kingdom of loving service it can be established only by loving service.

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  • The earlier group of disciples, it is true, did not appreciate the universality of the teaching of Jesus, and they continued zealous for the older forms, but St Paul through his prophetic consciousness grasped the fundamental fact and became Jesus' true interpreter.

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  • As thus the background is changed from Jewish to Greek, so are the fundamental religious conceptions.

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  • For them ideas and not images set forth fundamental reality, and their restless intellectual activity would be content with nothing else than the ultimate truth.

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  • In theology the fundamental problems of ontological philosophy were faced; the relationship of unity to multiplicity, of noumenon to phenomena, of God to man.

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  • Here may be noted a fundamental difference in the psychology of religion, since in the Roman Church the chief appeal is to the emotions, while in the Reformed it is to the intelligence.

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  • Yet there is reason to doubt the view of Hegel and Lassalle that Heraclitus recognized the fundamental distinction of subject and object and the relations of mind and matter.

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  • This doctrine is at once the assertion and the denial of the self, and furnishes a striking parallel between European thought in its earliest stages and the fundamental principles of Buddhism.

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  • But the steady growth of slavery in the East and of a virile democracy in the West neutralized this influence and compelled the assembling of the constitutional convention of 1829, whose purpose was to revise the fundamental law in such a way as to give the more populous counties of the West their legitimate weight in the legislature.

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  • The Constitution of the reconstruction years was unchanged until 1902, when the present fundamental law was adopted.

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  • The fundamental postulate of this part of our subject is that the two forces acting on a particle may be compounded by the parallelogram rule.

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  • Hence in trilinear co-ordinates, with ABC as fundamental triangle, its equation is Pa+Q/1+R7=o.

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  • Units of this kind are called absolute on account of their fundamental and invariable character as contrasted with gravitational units, which (as we shall see presently) vary somewhat with the locality at which the measurements are supposed to be made.

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  • In any general dynamical equation the dimensions of each term in the fundamental units must be the same, for a change of units would otherwise alter the various terms in different ratios.

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  • This is an immediate consequence of the fundamental postulate, in either of the forms above stated, since the internal forces do on the whole no work.

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  • The equation of energy for a rigid body has already been stated (in effect) as a corollary from fundamental assumptions.

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  • In most of the delusive machines commonly called perpetual motions, of which so many are patented in each year, and which are expected by their inventors to perform work without receiving energy, the fundamental fallacy consists in an expectation that some reciprocating force shall restore more energy than it has been the means of storing.

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  • The fundamental idea is that the several interests at risk shall contribute in proportion to the benefits they have severally received by the completion of the adventure.

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  • It is the business of a philosopher, while he lays bare the fundamental difference of elements, to display the identity that subsists between what seem unconnected parts of the universe.

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  • Accordingly he resolved to " devote all the force which he could spare to the work of deriving improved values of the fundamental elements and embodying them in new tables of the celestial motions."

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  • A valuable summary of a considerable part of this work, containing an account of the methods adopted, the materials employed, and the resulting values of the various quantities involved, was published in 1895, as a supplement to the American Ephemeris for 1897, entitled The Elements of the Four Inner Planets and the Fundamental Constants of Astronomy.

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  • In the Astronomical Papers of the American Ephemeris will be found a large number of contributions from Newcomb's pen on some fundamental and most important questions of astronomy.

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  • At the international conference, which met at Paris in 1896 for the purpose of elaborating a common system of constants and fundamental stars to be employed in the various national ephemerides, Newcomb took a leading part, and at its suggestion undertook the task of determining a definite value of the constant of precession, and of 1 Lionville, t.

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  • The council of Trent, opened in 1545 and closed in 1563, decreed a formal purgation of the church, affirmed the fundamental doctrines of Catholicism, strengthened the papal supremacy, and inaugurated that movement of resistance which is known as the Counter-Reformation.

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  • The Renaissance closed the middle ages and opened the modern era, - not merely because the mental and moral ideas which then sprang into activity and owed their force in large measure to the revival of classical learning were opposed to medieval modes of thinking and feeling, but also because the political and international relations specific to it as an age were at variance with fundamental theories of the past.

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  • In theology the appearance of dualism is sporadic and has not the fundamental, determining importance which it has in metaphysics.

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  • They attempted to explain the fundamental problems of existence by the unaided evidence of the new natural science.

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  • It is generally admitted now that no fundamental anatomical difference can be proved to exist between these higher apes and man, but it is equally agreed that none probably of the Simiidae is in the direct line of human ancestry.

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  • It had served to draw Young's attention to the question of oil-production, and in 1850 he took out his fundamental patent for the distillation of bituminous substances.

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  • The people of South Carolina were not satisfied, and Calhoun in a third political tract, in the form of a letter to Governor James Hamilton (1786-1857) of South Carolina, gave his doctrines their final form, but without altering the fundamental principles that have already been stated.

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  • Nothing remarkable seems to have occurred till 1788, under Gustavus III., who began to reign in 1771, and who confirmed to Finland those " fundamental laws " which they have succeeded in maintaining against kings and tsars for over two centuries.

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  • The canon of economy is as fundamental in regard to public expenditure as it will appear, later, to be in respect to revenue.

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  • It was, however, the fundamental division for the early French writers on finance, and it survives for England as late as Blackstone's Commentaries.

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  • Coulomb has made his name for ever famous by his invention and application of his torsion balance to the experimental verification of the fundamental law of electric attraction, in which, however, he was anticipated by Cavendish, namely, that the force of attraction between two small electrified spherical bodies varies as the product of their charges and inversely as the square of the distance of their centres.

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  • These investigations led him to the announcement of the fundamental law of action between elements of current, or currents in infinitely short lengths of linear conductors, upon one another at a distance; summed up in compact expression this law states that the action is proportional to the product of the current strengths of the two elements, and the lengths of the two elements, and inversely proportional to the square of the distance between the two elements, and also directly proportional to a function of the angles which the line joining the elements makes with the directions of the two elements respectively.

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  • Nothing is more remarkable in the history of discovery than the manner in which Ampere seized upon the right clue which enabled him to disentangle the complicated phenomena of electrodynamics and to deduce them all as a consequence of one simple fundamental law, which occupies in electrodynamics the position of the Newtonian law of gravitation in physical astronomy.

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  • The voltameter provided a means of measuring quantity of electricity, and in the hands of Faraday and his successors became an appliance of fundamental importance.

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  • These labours laid the foundation on which was subsequently erected a complete system for the absolute measurement of electric and magnetic quantities, referring them all to the fundamental units of mass, length and time.

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  • Maxwell never committed himself to a precise definition of the physical nature of electric displacement, but considered it as defining that which Faraday had called the polarization in the insulator, or, what is equivalent, the number of lines of electrostatic force passing normally through a unit of area in the dielectric. A second fundamental conception of Maxwell was that the electric displacement whilst it is changing is in effect an electric current, and creates, therefore, magnetic force.

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  • The fundamental fact connecting electric currents and magnetic fields is that the line integral of magnetic force taken once round a conductor conveying an electric current is equal to 4 7r-times the surface integral of the current density, or to 4 7r-times the total current flowing through the closed line round which the integral is taken (see Electrokinetics).

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  • The research into abstract qualities, the fundamental problem of physics, comes near to the metaphysical study of forms, which indeed differs from the first only in being more general, and in having as its results a form strictly so called, i.e.

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  • We thus at last attain a definite conclusion with regard to forms, and it appears clear that in Bacon's belief the true function of science was the search for a few fundamental physical qualities, highly abstract and general, the combinations of which give rise to the simple natures and complex phenomena around us.

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  • In method the difference is even more fundamental.

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  • This elimination of the non-essential, grounded on the fundamental propositions with regard to forms, is the most important of Bacon's contributions to the logic of induction, and that in which, as he repeatedly says, his method differs from all previous philosophies.

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  • Hierocles, writing in the 5th century A.D., states that his fundamental doctrine was an eclecticism, derived from a critical study of Plato and Aristotle.

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  • This fundamental homogeneity of primitive culture, however, must not be made the excuse for a treatment at the hands of psychology and sociology that dispenses with the study of details and trusts to an a priori method.

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  • Passing on to positive conceptions of the sacred, perhaps the most fundamental is that which identifies the efficacy of sacredness with such mystic or magical power as is signified by the mana of the Pacific or orenda of the Hurons, terms for which analogies are forthcoming on all sides.

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  • The radical contrast between mechanical and spiritual religion, though fundamental for modern theology, is alien to the primitive point of view, and is therefore inappropriate to the purposes of anthropological description.

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  • The fundamental idea remains the same in the Zend Asha, its philological counterpart, but it is applied with a difference.

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  • Egyptian speculation, in like manner, impersonated the conceptions of physical and moral order as two sides of a fundamental unity in the goddess Maat.

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  • It may, however, be doubted whether the fundamental assumption of such a scheme, viz.

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  • Along a different line of thought the Iranian teachers, beholding the world divided between hostile powers, demanded, as the fundamental postulate of religion, the victory of the good.

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  • Liberty, he says, in a much wider sense than Kant, is man's fundamental characteristic. Human freedom acts in the phenomenal, not in an imaginary noiimenal sphere.

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  • The fundamental principle consists in getting the ore into a solution, from which the metal can be precipitated.

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  • It was thus that Schopenhauer by his own experience saw in the primacy of the will the fundamental fact of his philosophy, and found in the engrossing interests of the selfish 'pros the perennial hindrances of the higher life.

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  • It was his purpose to show that the forms of thought (which he sought to isolate from the peculiarities incident to the organic body) were not merely customary means for licking into convenient shape the data of perception, but entered as underlying elements into the constitution of objects, making experience possible and determining the fundamental structure of nature.

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  • It is when the excitation is partial only, when it does not inevitably and immediately appear as action, that we have the appearance of intellect in the gap. The chief and fundamental difference between Schopenhauer and Spencer lies in the refusal of the latter to give this "adjustment" or "automatic action" the name of will.

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  • The psyc to him from many German - and in m fundamental original searching, but narro little more than one special prayers and exorcisms; oil from the lamps lit before the altar has a peculiar virtue of its own, perhaps because it can be burned to give light, and disappears to heaven in doing so.

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  • It is strong in its unequivocal insistence on personal purity and responsibility, and in the uncompromising simplicity of its fundamental principle.

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  • These authors proved, however, that no optical system can justify these suppositions, since they are contradictory to the fundamental laws of reflexion and refraction.

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  • The preaching of Zoroaster is directed to each individual man, and requires of him that he shall choose his position with regard to the fundamental problems of life and religion.

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  • The fundamental features of the imperial organization must have been due to Cyrus himself.

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  • It was of fundamental importance that the Sassanian Empire could not make good its claim to world dominion; and, in spite of the title of its kings, it always remained essentially the kingdom of Iranor rather west Iran, together with the districts on the Tigris and Euphrates.

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  • The fundamental work on Sassanian history is Theodor Nldekes Gesch.

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  • But a certain exaggeration of emphasis may be pardoned in a writer seeking to attract the attention of an indifferent public. It was not, however, as a theorist dealing with the fundamental data of economic science, but as a brilliant writer on practical economic questions, that Jevons first received general recognition.

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  • In 1866 what he regarded as the great and universal principle of all reasoning dawned upon him; and in 1869 he published a sketch of this fundamental doctrine under the title of The Substitution of Similars.

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  • Baily's Account of the Rev. John Flamsteed (1835) is of fundamental importance to the scientific history of that time.

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  • These incidents and limitations are thrown into relief by copious illustrations as to the fundamental features of bookland contained in the numberless "books."

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  • The fundamental points which the delegates had to settle concerned (a) the basis of parliamentary representation, (b) the status of the natives with respect to the franchise, (c) the position of the Dutch language, (d) the form of government.

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  • Keeping clearly in view his premises - the existence of God and the limited nature of knowledge - Butler begins by inquiring into the fundamental pre-requisite of all natural religion - the immortality of the soul.

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  • In natural philosophy Campanella, closely following Telesio, advocates the experimental method and lays down heat and cold as the fundamental principles by the strife of which all life is explained.

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  • It must be remembered that they flourished at a time when the separate interests of master and servant had not yet been created; and, indeed, when that fundamental division of interests arose, the companies gradually lost their functions in the regulation of industry.

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  • It does not appear that, excepting the theory of foreign trade, anything of the nature of fundamental doctrine, as distinct from the special subjects of banking and taxation, is laid down in the Principles which does not already appear in this tract.

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  • The fundamental doctrine of this work is that, on the hypothesis of free competition, exchange value is determined by the labour expended in production, - a proposition not new, nor, except with considerable limitation and explanation, true, and of little practical use, as "amount of labour" is a vague expression, and the thing intended is incapable of exact estimation.

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  • Its arguments and conclusions are therefore subject to the same limitations which those fundamental principles require.

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  • Take the fundamental properties of body - extension and resistance.

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  • To postulate different substances as underlying the different forces of nature would have been to surrender the fundamental thought of the system.

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  • The parlements, besides their judicial functions, also possessed political rights; they claimed a share in the higher policy of the realm, and the position of guardians of its fundamental laws.

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  • Motion is the fundamental fact common to being and thought; the actual motion of the external world has its counterpart in the constructive motion which is involved in every instance of perception or thought.

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  • The " articles " expressed the wish that the Confessio Bohemica should be recognized as one of the fundamental laws of the kingdom, and that complete religious liberty should be granted to all classes.

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  • Their languages, which exhibit considerable difference among themselves, have features which mark them off clearly from the Polynesian, notwithstanding certain fundamental relations with the latter.

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  • Jennings immediately called the first assembly, and this body passed a number of fundamental laws which provided for a governor and council, but were in other respects much like the clauses relating to government in " the Concessions and Agreements."

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  • In 1683 Rudyard was succeeded by Gawen Lawrie, who brought over with him a curious frame of government entitled " the Fundamental Constitutions."

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  • But the new system was to apply only to those who, in return for the greater privileges which it was alleged to ensure, would agree to a resurvey of their lands, arrange to pay quit-rents and provide for the permanent support of the government, and as Governor Lawrie found the colonists generally unwilling to make the exchange on the proposed terms, he discreetly refrained from any attempt to put the Fundamental Constitutions in operation and thereby avoided the confusion which must have resulted from two sets of laws.

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  • In 1686 another effort was made to put the Fundamental Constitutions in force, but when the deputies and the council rejected the instrument, the proprietors did not force the matter.

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  • The true explanation of things was to be found, according to Strato, in the forces which produced their attributes, and he followed Aristotle in deducing all phenomena from the fundamental attributes or elements of heat and cold.

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  • The admixture of Stoic elements is so great that some critics have attributed the work to a Stoic author; but the writer's Peripateticism seems to be the more fundamental constituent of his doctrine.

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  • The low island of Anglesey, which is built tip of the fundamental Archaean rocks, is important as a link in the main line of communication with Ireland, because it is separated from the mainland by a channel narrow enough to be bridged, and lies not far out of the straight line joining London and Dublin.

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  • The boundaries of the parishes, the fundamental units of English political geography, are very often either rivers or watersheds, and they frequently show a close relation to the strike of the geological strata.

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  • Hall was not altogether satisfied with the fundamental law of June; but he considered it expedient to make the best use possible of the existing constitution and to unite the best conservative elements of the nation in its defence.

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  • Being confined to fundamental principles without entering into details, it has proved itself admirably suited to form the foundation of the religious life of the most varied orders and congregations, and since the 12th century it has proved more prolific than the Benedictine Rule.

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  • Nevertheless, it is now acknowledged that at some far remoter time, before these nations were divided from the parent stock, and distributed over Asia and Europe, a single barbaric people stood as physical and political representative of the nascent Aryan race, speaking a now extinct Aryan language, from which, by a series of modifications not to be estimated as possible within many thousands of years, there arose languages which have been mutually unintelligible since the dawn of history, and between which it was only possible for an age of advanced philology to trace the fundamental relationship.

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  • Herbert Spencer's formula that life is "the continuous adjustment of internal relations to external relations" was the result of a profound and subtle analysis, but omits the fundamental consideration that we know life only as a quality of and in association with living matter.

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  • The fundamental metaphysical postulate that being and God are ultimately identical remained, however, the philosophical basis of all his thinking, and reverence for this being as the supreme good remained the fundamental disposition of his mind.

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  • It had long been a fundamental principle of Indian government that the sepoy would always be true to his salt - knowing, as Macaulay wrote in 1840, that there was not another state in India which would not, in spite of the most solemn promises, leave him to die of hunger in a ditch as soon as he had ceased to be useful.

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  • That idea is fundamental in the philosophy of religion, which therefore can be written only from the standpoint of a constructive metaphysical theory.

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  • But, whereas the new scholarch, confining himself to the detailed examination of natural kinds, attempted no comprehensive explanation of the universe, Aristotle held that a theory of its origin, its motions, and its order was a necessary adjunct to the classificatory sciences; and in nearly all his references to Speusippus he insists upon this fundamental difference of procedure.

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  • The minister general, Michael of Cesena, though opposed to the exaggerations of the Spirituals, joined with them in protesting against the condemnation of the fundamental principle of evangelical poverty, and the agitation gradually gained ground.

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  • A remarkable manifestation of this unprecedented reunion was the fact that a committee of the associated churches prepared and published a catechism expressing the positive and fundamental agreement of all the Evangelical Free Churches on the essential doctrines of Christianity (see The Contemporary Review, January 1899).

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  • Politically one might differ from him, but economists as such must either be silent when political reasons are alleged for taxes that are against fundamental maxims, or must be content to point out the cost of the taxes in order that the communities concerned may decide whether the object in view is obtainable by means of the taxation, and is worth the price.

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  • But he put upon this fundamental dogma a new interpretation.

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  • Soul is a self-moving number, derived from the two fundamental principles, unity (Iv) and plurality (Iv&s aopcvros), whence it obtains its powers of rest and motion.

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  • Psychology is with Cabanis directly linked on to biology, for sensibility, the fundamental fact, is the highest grade of life and the lowest of intelligence.

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  • A Machiavellian tract on the fundamental maxims of Venetian policy (Opinione come debba governarsi la repubblica di Venezia), used by his adversaries to blacken his memory, is undoubtedly not his.

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  • In the "fundamental laws" of the provisional government were incorporated a number of Articles from the Ordinance of 1787, among them the one prohibiting slavery.

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  • Bessel were, however, needed for the development of their fundamental importance.

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  • From the chemical point of view the hydrocarbons are of fundamental importance, and, on account of their great number, and still greater number of derivatives, they are studied as a separate branch of the science, namely, organic chemistry.

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  • The philosophy of Jacobi is essentially unsystematic. A certain fundamental view which underlies all his thinking is brought to bear in succession upon those systematic doctrines which appear to stand most sharply in contradiction to it, and any positive philosophic results are given only occasionally.

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  • Jacobi, accepting the law of reason and consequent as the fundamental rule of demonstrative reasoning, and as the rule explicitly followed by Spinoza, points out that, if we proceed by applying this principle so as to recede from particular and qualified facts to the more general and abstract conditions, we land ourselves, not in the notion of an active, intelligent creator of the system of things, but in the notion of an all-comprehensive, indeterminate Nature, devoid of will or intelligence.

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  • The fundamental truism is the epigrammatic assertion of this distinction.

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  • These propositions having been reached, apart from particular experience, by reflection upon the fundamental principle, we have in them, Parmenides conceived, a body of information resting upon a firm basis and entitled to be called " truth."

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  • In particular, Plato taxes Parmenides with his inconsistency in attributing (as he certainly did) to the fundamental unity extension and sphericity, so that "the worshipped dv is after all a pitiful j.) " (W.

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  • Or we might say that, since multiplication is a form of addition, and division a form of subtraction, there are really only two fundamental processes, viz.

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  • Arithmetic is supposed to deal with cardinal, not with ordinal numbers; but it will be found that actual numeration, beyond about three or four, is based on the ordinal aspect of number, and that a scientific treatment of the subject usually requires a return to this fundamental basis.

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  • This fact seems to illustrate the truth that the counting principle is the fundamental one, to which the interpretation of grouped numbers must ultimately be referred.

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  • This was the point which Kant missed in his analysis, and this is the fundamental truth which Cousin thinks he has restored to the integrity of philosophy by the method of the observation of consciousness.

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  • And whether the laws of our reason are the laws of all intelligence and being - whether and how we are to relate our fundamental, intellectual and moral conceptions to what is beyond our experience, or to an infinite being - are problems which Cousin cannot be regarded as having solved.

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  • Subject to this permanent and fundamental ownership, part of the land was set apart for the maintenance of the king as such.

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  • But the study that should elucidate the fundamental similarities or homologies between the several classes, and should suggest the relations of the Echinoderma to other phyla, had scarcely begun.

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  • It might be possible to prove the origin of all classes from Pelmatozoa, without thereby explaining the origin of such fundamental features as radial symmetry, the developmental metamorphosis, and the torsion that affects both gut and body-cavities during that process; but the acceptance of a Dipleurula as the common ancestor necessitates an explanation of these features.

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  • The Buddha's philosophy forms a system based on a few fundamental ideas, whilst that of Maha-vira scarcely forms a system, but is merely a sum of opinions (pannattis) on various subjects, no fundamental ideas being there to uphold the mass of metaphysical matter.

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  • Trilinear and Tangential Co-ordinates.---The Geometrie descriptive, by Gaspard Monge, was written in the year 1794 or 1 795 (7th edition, Paris, 1847), and in it we have stated, in piano with regard to the circle, and in three dimensions with regard to a surface of the second order, the fundamental theorem of reciprocal polars, viz.

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  • Stated in regard to the cone, we have there the fundamental theorem that there are two different kinds of sheets; viz., the single sheet, not separated into two parts by the vertex (an instance is afforded by the plane considered as a cone of the first order generated by the motion of a line about a point), and the double or twin-pair sheet, separated into two parts by the vertex (as in the cone of the second order).

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  • And he gives the theorem, a system of conics satisfying four conditions, and having the characteristics (µ, v) contains 2v - µ line-pairs (that is, conics, each of them a pair of lines), and point-pairs (that is, conics, each of them a pair of points, - coniques infiniment aplaties), which is a fundamental one in the theory.

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  • At first, Leverrier, Plana and other foreign astronomers controverted Adams's result; but its soundness was ultimately established, and its fundamental importance to this branch of celestial theory has only developed further with time.

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  • The gaseous state was well known to the ancients; for instance, in Greek cosmology, "air" (7rvEUµa) was one of the fundamental elements.

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  • The fundamental objections to oil gas for the enrichment of coal gas are, first, that its manufacture is a slow process, requiring as much plant and space for retorting as coal gas; and, secondly, that although on a small scale it can be made to mix perfectly with coal gas and water gas, great difficulties are found in doing this on the large scale, because in spite of the fact that theoretically gases of such widely different specific gravities ought to form a perfect mixture by diffusion, layering of the gas is very apt to take place in the holder, and thus there is an increased liability to wide variations in the illuminating value of the gas sent out.

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  • This theory makes a fundamental distinction between the supreme jurisdiction in ecclesiastical matters (Kirchenhoheit or jus circa sacra), which it conceives as inherent in the power of the state in respect of every religious communion, and the ecclesiastical power (Kirchengewalt or jus in sacra) inherent in the church, but in some cases vested in the state by tacit or expressed consent of the ecclesiastical body.

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  • Of the nine fundamental laws of that Priscillian, whose widespread heresy evoked from the synod of Saragossa (418) the canon, " No one shall fast on Sunday, nor may any one absent himself from church during Lent and hold a festival of his own," appears, on the question of fasting, not to have differed from the Encratites and various other sects of Manichean tendency (c. 406).

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  • Many of the fundamental ideas of Druse theology belong to a common West Asiatic stock; but the peculiar history of the Mountain is no doubt responsible for beliefs, held elsewhere by different peoples, being combined there in a single creed.

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  • Writers on the theory of ecclesiastical law, moreover, draw a fundamental distinction between that of the Church of Rome and that of the Protestant national or territorial Churches.

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  • Along with the fundamental doctrine, certain characteristics have always marked its professors; namely, a large degree of toleration, a minimizing of essentials, a repugnance to formulated creed, an historical study of Scripture.

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  • Such incidents as this, however, though they served to exhibit consummate tact and diplomatic skill, give little index to the fundamental character of his work as chancellor.

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  • An erroneous view of the fundamental morphology of the Crustacean limb, and consequently of that of other Arthropoda, came into favour owing to the acceptance of the highly modified limbs of Astacus as typical.

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  • The subtle theo logical controversies of the 17th century made him anxious to show how simple after all fundamental Christianity is.

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  • And the'tendency; to associate is there presented, not as the fundamental factor of human knowledge, but as a chief cause of human error.

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  • Of these fundamental ideas, justice, liberty and equality were the.

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  • This may briefly be illustrated by reference to some of the great fundamental controversies of ethics.

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  • The characteristics of this practical goodness in Plato's matured thought correspond to the fundamental conceptions in his view of the universe.

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  • Of these the two most fundamental were (as has been already indicated) wisdom - in its highest form philosophy - and that harmonious and regulated activity of all the elements of the soul which Plato regards as the essence of uprightness in social relations (&Kac06uv77) .

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  • We see, moreover, how in Plato's view the fundamental virtues, Wisdom and Justice in their highest forms, are mutually involved.

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  • In so far as there is any important difference between the Platonic and the Aristotelian views of human good, we may observe that the latter has substantially a closer correspondence to the positive element in the ethical teaching of Socrates, though it is presented in a far more technical and scholastic form, and involves a more distinct rejection of the fundamental Socratic paradox.

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  • He first leads us by an induction to the fundamental notion of ultimate end or good for man.

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  • Again, this Socratic deference to common opinift is not shown merely in the way by which Aristotle reaches his fundamental conception; it equally appears in his treatment of the conception itself.

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  • The deliberate looseness which is thus given to his fundamental doctrine characterizes more or less his whole discussion of ethics.

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  • Both Stoic and Cynic maintained, in its sharpest form, the fundamental tenet that the practical knowledge which is virtue, with the condition of soul that is inseparable from it, is alone to be accounted good.

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  • It was a fundamental maxim that the sage was to take part in public life; and it does not appear that his political action was to be regulated by any other principles than those commonly accepted in his community.

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  • Hence we find that later thinkers of the Cyrenaic school felt themselves compelled to change their fundamental notion; thus Theodorus defined the good as" gladness " (Xapa) depending on wisdom, as distinct from mere pleasure, while Hegesias proclaimed that happiness was unattainable, and that the chief function of wisdom was to render life painless by producing indifference to all things that give pleasure.

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  • In the fundamental principle of his philosophy Epicurus is not original.

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  • Thus the jural form in which morality was conceived only emphasized the fundamental difference between it and the laws of the state.

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  • The fundamental differences between pagan and Christian ethics depend not on any difference in the value set on rightness of heart, but on different views of the essential form or conditions of this inward rightness.

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