Infinite Sentence Examples

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  • The true physical conception is motion, the ultimate ground of which is to be sought in God's infinite power.

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  • All is vanity, all falsehood, except that infinite sky.

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  • We are a tiny dot of life suspended in a nearly infinite universe.

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  • Bruno looked on our solar system as but one out of an infinite number of worlds.

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  • Each day Miss Sullivan went to the classes with me and spelled into my hand with infinite patience all that the teachers said.

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  • Who can say what may emerge from an infinite background ?

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  • The particular laws are as our points of view, as, to the traveller, a mountain outline varies with every step, and it has an infinite number of profiles, though absolutely but one form.

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  • It is preoccupied by the infinite.

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  • These relation-numbers are the infinite ordinal numbers.

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  • Religion is consciousness of the infinite.

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  • Of these monads the number is infinite.

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  • They are infinite and perfect when the En Soph imparts his fullness to them, and finite and imperfect when that fullness is withdrawn from them.

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  • Neither by geometrical, nor physical, nor metaphysical principles had he succeeded in reaching and grasping the infinite and the spiritual, or in elucidating their relation to man and man's organism, though he had caught glimpses of facts and methods which he thought only required confirmation and development.

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  • This is the third and highest stage of development, the relation of the finite and the infinite.

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  • The capacity of a conductor is defined to be the charge required to raise its potential to unity, all other charged conductors being at an infinite distance.

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  • Thus the direction of true scientific progress was for many ages towards the recognition of the infinite divisibility of space and time.

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  • The East typifies the infinite, Greece the finite or reflective epoch, the modern era the stage of relation or correlation of infinite and finite.

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  • The merit of it is therefore infinite; God's justice is thus appeased, and His mercy may extend to man.

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  • Suddenly the machine emitted a noise that was like every sound ever made in the world put together, infinite frequencies.

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  • At some point the system and the meta-system might be indistinguishable, although this may involve a virtually infinite regress.

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  • The head of the divine hierarchy of Mithras was Infinite Time - Cronus, Saturn; Heaven and Earth were his offspring, and begat Ocean, who formed with them a trinity corresponding to Jupiter, Juno, and Neptune.

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  • God is not fully comprehensible by us, says Albert, because the finite is not able to grasp the infinite, yet he is not altogether beyond our knowledge; our intellects are touched by a ray of his light, and through this contact we are brought into communion with him.

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  • In the limiting case in which the medium is regarded as absolutely incompressible S vanishes; but, in order that equations (2) may preserve their generality, we must suppose a at the same time to become infinite, and replace a 2 3 by a new function of the co-ordinates.

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  • Of such we may cite tuberculosis of the larynx, formerly as incurable as distressing; and "adenoids" - a disease revealed by intrascopic methods - which used grievously to thwart and stifle the growth both of mind and body in children, are now promptly removed, to the infinite advantage of the rising generation.

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  • The motion of a jet impinging on an infinite barrier is obtained by putting j = a, j' = a'; duplicated on the other side of the barrier, the motion reversed will represent the direct collision of two jets of unequal breadth and equal velocity.

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  • Kirchhoff's solution is obtained of a barrier placed obliquely in an infinite stream.

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  • The attention devoted to the matter soon elucidated the phenomena of meteors, and proved them to be small planetary bodies, practically infinite in numbers and illimitable in the extent and variety of their orbits.

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  • A great shock of rough, dusky, dark hair; bright, laughing, hazel eyes; massive aquiline face, most massive yet most delicate; of sallow brown complexion, almost Indian-looking, clothes cynically loose, free-and-easy, smokes infinite tobacco.

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  • Maurice, whose character, marked by " religious realism," sought in the past " the witness to eternal truths, the manifestation by time-samples of infinite realities and unchanging relations";4 and Charles Kingsley, " a great teacher," though one " certain to go astray the moment he becomes didactic."

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  • The same law prevailing in all natures creation, in the plumage of birds, the painting of butterifies wings, the marking of shells, and in all the infinite variety and beauty of the floral kingdom, the lesson is constantly renewed to the observant eye.

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  • This is illustrated by the difficulties inherent in the conception of Cause, Space, Time, Matter, Motion, the Infinite, and the Absolute, and by the" relativity of knowledge,"which precludes knowledge of the Unknowable, since" all thinking is relationing."Yet the Unknowable may exist, and we may even have an" indefinite knowledge "of it, positive, though vague and extralogical.

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  • Again, an infinite world cannot be wholly engaged either in evolution or in dissolution, so that it is really unmeaning to discuss the universality of the cosmic process until it is settled that we have a universe at all, capable of being considered as a whole.

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  • In 1734 he also published Prodromus philosophiae ratiocinantis de infinito et causa finali creationis, which treats of the relation of the finite to the infinite, and of the soul to the body, seeking to establish a nexus in each case as a means of overcoming the difficulty of their relation.

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  • His esse is infinite love; His manifestation, form or body is infinite wisdom.

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  • In God there are three infinite and uncreated "degrees" of being, and in man and all things corresponding three degrees, finite and created.

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  • With all the Puritan eagerness to push a clear, uncompromising, Scripture-based distinction of right and wrong into the affairs of every-day life, he has a thoroughly English horror of casuistry, and his clumsy canons consequently make wild work with the infinite intricacies of human nature.

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  • With infinite tact and admirable self-denial he gave free scope to ministers whose superiority in their various departments he frankly recognized, rarely interfering personally unless absolutely called upon to do so.

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  • From the hypothesis of an external world a series of contradictions are deduced, such as that the world is both finite and infinite, is movable and immovable, &c.; and finally, Aristotle and various other philosophers are quoted, to show that the external matter they dealt with, as mere potentiality, is just nothing at all.

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  • The attempt to apply numerical methods to the comparison of geometrical quantities led to the doctrine of incommensurables, and to that of the infinite divisibility of space.

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  • The universal or infinite is one that realizes itself in finite particular minds and wills, not as accidents or imperfections of it, but as its essential form.

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  • Shall he not be able thereby to produce worthy effects, and to endow the life of man with infinite commodities ?

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  • The term "Nature" is put more into the foreground in the Treatise, a point which might be urged as evidence of Bruno's influence - the dialogues, moreover, being specially concerned to establish the unity, infinity and selfcontainedness of Nature 2; but the two opposed Cartesian attributes, thought and extension, and the absolutely infinite substance whose attributes they are - substance constituted by infinite attributes - appear here as in the Ethics.

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  • As reason has apprehended these two simultaneous phenomena, attention and sensation, and led us The immediately to conceive the two sorts of distinct they are related, so, from the notion of this limitation, we find it impossible under the same guide not to conceive a supreme cause, absolute and infinite, itself the first and last cause of all.

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  • Y g Y g infinite or causes, correlative and reciprocally finite, to which absolute.

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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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  • A curve is a line, or continuous singly infinite system of points.

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  • Religious thinkers are faced by the problem of the Creator and the created, and the necessity for formulating a close relationship between God and man, the Infinite and Perfect with the finite and imperfect.

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  • The finite nature of the human mind cannot grasp and comprehend the infinite.

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  • This paper offers a glimpse of how Euler used infinitesimals and infinite series to compute differentials for the elementary functions.

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  • Noreve the international leader of top-of-the-line leather cases for Hi-Tech devices offers you infinite possibilities for the customization of your products.

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  • You are a finite concept that represents the negation of your own infinite essence.

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  • It became largely theologians who argued in favor of the actual infinite.

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  • If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

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  • A person who is lit from within, reflecting the natural worlds ' own luminous, infinite wisdom.

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  • Thoroughgoing rationalism, on the other hand, either categorically denies that the supernatural or the infinite - whether it exist or not - can be the object of human knowledge (see Agnosticism), or else, in the mouth of a single person, states that he at least has no such knowledge.

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  • And His will is governed only by infinite love for us, and so whatever befalls us is for our good.

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  • Having the color chart is like having an infinite box of crayons at your desk to color the web.

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  • In it the union between the finite self-consciousness and the infinite ego or God is handled in an almost mystical manner.

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  • The infinite God is the all; the world of independent objects is the result of reflection or self-consciousness, by which the infinite unity is broken up. God is thus over and above the distinction of subject and object; our knowledge is but a reflex or picture of the infinite essence.

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  • As early as 1797 Fichte had begun to see that the ultimate basis of his system was the absolute ego, in which is no difference of subject and object; in 1800 the Bestimmung des Menschen defined this absolute ego as the infinite moral will of the universe, God, in whom are all the individual egos, from whom they have sprung.

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  • The individual ego is only possible as opposed to a non-ego, to a world of the senses; thus God, the infinite will, manifests himself in the individual, and the individual has over against him the non-ego or thing.

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  • This is the doctrine of the infinite divisibility of bodies, and it is in direct contradiction with the theory of atoms.

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  • From this point of view the atomic doctrine might be regarded as a relic of the old numerical way of conceiving magnitude, and the opposite doctrine of the infinite divisibility of matter might appear for a time the most scientific. The atomists, on the other hand, asserted very strongly the distinction between matter and space.

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  • Let us suppose that an infinite number of exactly similar systems start simultaneously from all possible values of pi, q1,

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  • The first book with his imprint is The Psalms of David Imitated in For the prevention of counterfeiting continental paper money Franklin long afterwards suggested the use on the different denominations of different leaves, having noted the infinite variety of leaf venation.

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  • These poems are in a sense valuable as repertoires of antiquities; but their style is on the whole bad, and infinite patience is required to clear up their numerous and obscure allusions.

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  • No conception of the infinite can therefore be true which does not leave room for movement, process, free creation.

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  • With infinite exertion he succeeded in obtaining from government a promise of 20,000, and after four years spent in preparation, sailed in September 1728, accompanied by some friends and by his wife, daughter of Judge Forster, whom he had married in the preceding month.

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  • Apart from the illuminated MSS., the mural paintings, the mosaics, and the goldsmith's work of Mount Athos are of infinite interest to the student of Byzantine art.

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  • The moral law is merely a collection of rules of conduct based on an infinite number of special cases in which the convenience of society or its rulers has subordinated the inclination of individuals.

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  • A band might in that case fade away towards zero frequencies, and as s increases, return again from infinity with diminishing distances, the head and the tail pointing in the same direction; or with a different value of constants a band might fade away towards infinite frequencies, then return through the whole range of the spectrum to zero frequencies, and once more return with its tail near its head.

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  • There is a region within the band where µ = o, and this would give an infinite shift in the opposite direction.

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  • By changing the meaning of "noumenon " from the thing apprehended (voouµevov) to the thought (vOnya), and in the hypothesis of a common consciousness, he started the view that a thing is not yours or my thought, but a common thought of all mankind, and led to the wider view of Schelling and Hegel that the world is an absolute thought of infinite mind.

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  • Schelling and Hegel thought it was infinite reason; Schopenhauer, unconscious will; Hartmann, unconscious intelligence and will; Lotze, the activity or life of the divine spirit; Fechner, followed by Paulsen, a world of spiritual actualities comprised in the one spiritual actuality, God, in whom we live and move and have our being.

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  • Hence he rejected the infinite intelligence supposed by Fichte, Schelling and Hegel against whom he urged that blind will produces intelligence, and only becomes conscious in us by using intelligence as a means to ends.

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  • Calderwood, in his Philosophy of the Infinite (1854), made the pertinent objection that, though thought, conception and knowledge are finite, the object of thought may be infinite.

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  • We never know anything except as determined by its attributes; but that would not prevent us from inferring something determined as unconditioned, whether infinite or absolute.

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  • Like Kant, he supposes that experience is concerned with sensations, distinguishes matter and form in sense, identifies time and space, eternal time and infinite space, with the formal element, and substitutes 'synthesis of sensations of touch and sight for association and inference, as the origin of our knowing such a solid material object as a bell.

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  • High as man is placed above the creatures around him, there is a higher and far more exalted position within his view; and the ways are infinite in which he occupies his thoughts about the fears, or hopes, or expectations of a future life.

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  • Between 1840 and 1850 he edited Swedenborg's treatises on The Doctrine of Charity, The Animal Kingdom, Outlines of a Philosophic Argument on the Infinite, and Hieroglyphic Key to Natural and Spiritual Mysteries.

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  • The corresponding relation for a pure liquid can be regained by considering that at infinite dilution the liquid becomes pure solvent, and the change of volume becomes equal to the volume V.of solvent added.

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  • Thus the pious Hindu, confronted by the impossibility of obtaining perfect knowledge by the senses or by reason, finds his sole perfection in the contemplation of the infinite (Brahma).

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  • Unlike the Hindu, Xenophanes inclined to pantheism as a protest against the anthropomorphic polytheism of the time, which seemed to him improperly to exalt one of the many modes of finite existence into the place of the Infinite.

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  • To explain the universe Spinoza proceeds to argue that God, though undetermined ab extra, is capable of infinite self-determination.

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  • Thus God, the causa sui, manifests himself in an infinite multiplicity of particular modes.

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  • He devoted infinite pains and thought to the reform of government both in England and Normandy.

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  • Even at the lowest ebb of his fortunes Christian had never lost hope of retrieving them, and between 1629 and 1643 the European situation presented infinite possibilities to politicians with a taste for adventure.

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  • The curve is symmetrical about the line x = y, and consists of two infinite branches asymptotic to the line x+y+a = o and a loop in the first quadrant.

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  • Evidently upon his and view of conscious experience, of the world of imagination, ti such infinite divisibility must be a fiction.

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  • For Philo lays stress upon the weakness of the analogical argument, points out that the demand for an ultimate cause is no more satisfied by thought than by nature itself, shows that the argument from design cannot warrant the inference of a perfect or infinite or even of a single deity, and finally, carrying out his principles to the full extent, maintains that, as we have no experience of the origin of the world, no argument from experience can carry us to its origin, and that the apparent marks of design in the structure of animals are only results from the conditions of their actual existence.

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  • He moved his capital northward to Akhetaton (El Amarna) and strove to suppress the worship of Ammon, doing infinite damage to the monuments of Thebes by defacing his name and figure.

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  • Theoretically this requires an infinite plate; or a perfect heat insulator, so that the lateral flow can be prevented or rendered negligible.

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  • As in the case of steady-flow methods, by far the simplest example to consider is that of the linear flow of heat in an infinite solid, which is most nearly realized in nature in the propagation of temperature waves in the surface of the soil.

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  • More attention seems to have been given to the matter in the United States of America and in Germany and Russia than in England, but the infinite variety of samples known to the commercial expert, and the impossibility of standardizing those in such a manner as to make readily recognizable what the chemist has treated, renders most of the recorded analyses of uncertain value.

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  • Space is infinite, and there is an illimitable multitude of indestructible, indivisible and absolutely compact atoms in perpetual motion in this illimitable space.

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  • This universe of ours is only one section out of the innumerable worlds in infinite space; other worlds may present systems very different from that of our own.

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  • They went back to the later period of Plato's thought, the period when Plato endeavoured to combine his doctrine of Ideas with the Pythagorean number-theory, and identified the Good with the One, the source of the duality of the Infinite and the Measured (rd .bretpov and 71-pas) with the resultant scale of realities from the One down to the objects of the material world.

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  • He had strong sense, quick discernment, wit, humour, immense knowledge of literature and of life, and an infinite store of curious anecdotes.

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  • The infinite is of special importance on account of its being preserved very fully in Coptic. It is generally of masculine form, but feminine in III.

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  • The infinite superiority of the Greek alphabet with its full notation of vowels was readily seen, but piety and custom as yet barred the way to its full adoption.

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  • The Bucolic war caused infinite damage to the agriculture of the country and marks the beginning of its rapid decline under a burdensome taxation.

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  • His main result is that God is infinite, and as such, incomprehensible; that his attributes of goodness, knowledge and power are credited to him only by inference from their effects; that this inference is logically valid and sufficient for human thought.

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  • The aim of germination is the fixing of the embryo in the soil, effected usually by means of the root, which is the first part of the embryo to appear, in preparation for the elongation of the epicotyledonary portion of the shoot, and there is infinite variety in the details of the process.

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  • In them, working with infinite preliminary pains, as a vast number of extant drawings and studies testify, he produced what have been accounted his four capital works in painting, besides several others of minor importance.

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  • Mayflies and dragon-flies danced in the sunlight; lizards darted across the paths; and legions of spiders pervaded the grass, many very beautiful - frosted - silver backs, or curious, like the saltigrades, who took a few steps and then gave a leap. There were crickets in infinite numbers; and flies innumerable, from slim daddy-long-legs to ponderous, black, hairy fellows known to science as Dejeaniae; hymenopterous insects in profusion, including our old friend the bishop of Ambato (possibly Dielis), in company with another formidable stinger, with chrome antennae, called by the natives ` the Devil '; and occasional Phasmas (caballo de palo) crawling painfully about, like animated twigs."

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  • Even philosophy with Hegel at this epoch was subordinate to religion; for philosophy must never abandon the finite in the search for the infinite.

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  • Soon, however, Hegel adopted a view according to which philosophy is a higher mode of apprehending the infinite than even religion.

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  • This is, however, an application of categories from a field where the conditions are finite to a sphere in which the circumstances are infinite."

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  • But this form disappears with the decease of Greek national life, and on its collapse follows the romantic, the third form of art; where the harmony of form and content again grows defective, because the object of Christian art - the infinite spirit - is a theme too high for art.

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  • The completeness and self-consistency which our ideal requires can be realized only in a form of being in which subject and object, will and desire, no longer stand as exclusive opposites, from which it seemed at once to follow that the finite self could not be a reality nor the infinite reality a self.

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  • The durability and the extraordinary ductility and pliancy of gold, its power of being subdivided, drawn out or flattened into wire or leaf of almost infinite fineness, have led to its being used for works where great minuteness and delicacy of execution were required; while its beauty and rarity have, for the most part, limited its use to objects of adornment and luxury, as distinct from those of utility.

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  • But though agriculture thus forms the staple industry of the country, its practice is pursued in different provinces with infinite variety of detail.

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  • It can be shown that, if the density of distribution of the stars through infinite space is nowhere less than a certain limit (which may be as small as we please), the total amount of light received from them (assuming that there is no absorption of light in space) would be infinitely great, so that the background of the sky would shine with a dazzling brilliancy.

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  • The propositions maintained in the argument are - "(1) That something has existed from eternity; (2) that there has existed from eternity some one immutable and independent being; (3) that that immutable and independent being, which has existed from eternity, without any external cause of its existence, must be self-existent, that is, necessarily existing; (4) what the substance or essence of that being is, which is self-existent or necessarily existing, we have no idea, neither is it at all possible for us to comprehend it; (5) that though the substance or essence of the self-existent being is itself absolutely incomprehensible to us, yet many of the essential attributes of his nature are strictly demonstrable as well as his existence, and, in the first place, that he must be of necessity eternal; (6) that the self-existent being must of necessity be infinite and omnipresent; (7) must be but one; (8) must be an intelligent being; (9) must be not a necessary agent, but a being endued with liberty and choice; (to) must of necessity have infinite power; (I I) must be infinitely wise, and (12) must of necessity be a being of infinite goodness, justice, and truth, and all other moral perfections, such as become the supreme governor and judge of the world."

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  • Clarke has been generally supposed to have derived the opinion that time and space are attributes of an infinite immaterial and spiritual being from the Scholium Generale, first published in the second edition of Newton's Principia (1714).

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  • The infinite essence of God, which may indeed be described as nihilum (nothing) is that from which all is created, from which all proceeds or emanates.

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  • We mean neither a definite number of individuals, nor yet an infinite number, but an incalculable number, whether experienced or inferred to exist.

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  • Here the minor being the infinite term " not-recognized " in the conclusion, must be the same term also in the minor premise.

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  • If we reject the infinite regress and the circle in proof (circulus in probando) which resolves itself ultimately into proving A by B and B by A, 7 we are confronted by the need for principles of two kinds, those which condition all search scientific for truth, and those which are the peculiar or proper principles.

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  • The former is in an indeterminate or infinite subject-matter impossible.

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  • It rested these in turn upon a general induction enumerative in character of enormous and practically infinite range and always uncontradicted.

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  • The most noticeable point is the position assigned by Chalybaus to the "World Ether," which is defined as the infinite in time and space,.

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  • Their speculation as to the nature of God had led them gradually to separate him by an infinite distance from all creation, and to feel keenly the opposition of the finite and the infinite, the perfect and the imperfect, the eternal and the temporal.

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  • By it we perceive how God, the infinite, the absolute, the eternal, is yet not separated from the finite, the temporal, the relative, but, through the incarnation, enters into humanity.

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  • It is not God as abstract, infinite and eternal, as the far-away creator of the universe, or even as the ruler of the world, which Paul worships, but it is God revealed in Jesus Christ, the Father of Jesus Christ, the grace and mercy in Jesus Christ which deliver from evil.

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  • For some the first thought of God, the infinite and ultimate reality lying beyond and behind all phenomena, predominates.

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  • He first, so far as we know, sought to go behind the infinite multiplicity of phenomena in the hope of finding an infinite unity from which all difference has been evolved.

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  • This substance he called "the Infinite" (TO a rEipov).

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  • Unlike Thales, he was struck by the infinite variety in things; he felt that all differences are finite, that they have emerged from primal unity (first called epxn by him) into which they must ultimately return, that the Infinite One has been, is, and always will be, the same, indeterminate but immutable.

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  • The individual, like the phenomena of sense, comes out of the infinite and again is merged; hence on the one hand he is never a separate entity at all, while on the other hand he exists in the infinite and must continue to exist.

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  • Originally they existed in infinitesimal fragments, infinite in number and devoid of arrangement.

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  • The sides of the force-polygon may in the first instance be arranged in any order; the force-diagram can then be completed in a doubly infinite number of ways, owing to the arbitrary position of 0; and for each force-diagram a simply infinite number of funiculars can be drawn.

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  • Each extraneous force W acting on a bar may be replaced (in an infinite number of ways) by two components P, Q in lines through the centres of the pins at the extremities.

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  • The composition of finite rotations about parallel axes is, a particular case of the preceding; the radius of the sphere is now infinite, and the triangles are plane.

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  • It follows that when a body has two degrees Of freedom it can twist about any one of a singly infinite system of screws whose axes lie on a certain cylindroid.

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  • Conversely it is seen that any wrench can be replaced in an infinite number of ways by two forces, and that the line of action of one of these may be chosen quite arbitrarily.

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  • The triply infinite system of null-lines form what is called in linegeometry a complex.

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  • If, however, the links are in involution, these forces become infinite or indeterminate.

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  • When a frame has a critical form it may be in a state of stress independently of the action of extraneous forces; moreover, the stresses due to extraneous forces are F indeterminate, and may be infinite.

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  • If A, B have the same sign, this is equivalent to au = cosh mO, (23) if the origin of 0 be suitably adjusted; hence r has a maximum value a, and the particle ultimately approaches the pole asymptotically by an infinite number of convolutions.

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  • His last "famous discovery, or rather revival of Dr Giles Fletcher's," which he mentions in his autobiography with infinite complacency, was the identification of the Tatars with the lost tribes of Israel.

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  • Assam is a fertile series of valleys, with the great channel of the Brahmaputra (literally, the Son of Brahma) flowing down its middle, and an infinite number of tributaries and watercourses pouring into it from the mountains on either side.

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  • Such pairs of colour may be regarded as infinite in number; but there are three pairs which stand out prominently, and admit of easy expression for the ratio in which each contributes to the total action.

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  • The histories of philosophy may quite correctly describe his theory as the logical development of Descartes's doctrines of the one Infinite and the two finite substances, but Spinoza himself was never a Cartesian.

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  • It was impossible, indeed, to resist openly so highly gifted and so popular a sovereign; it was only by the despicable expedient of assassination that the last great monarch of Sweden was finally removed, to the infinite detriment of his country.

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  • In the mathematical sense, however, this selection is arbitrary; the reproduction of a finite object with a finite aperture entails, in all probability, an infinite number of aberrations.

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  • This number is only finite if the object and aperture are assumed to be " infinitely small of a certain order"; and with each order of infinite smallness, i.e.

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  • By one, and likewise by several, and even by an infinite number of thin lenses in contact, no more than two axis points can be reproduced without aberration of the third order.

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  • Since the fraction is infinite it cannot be commensurable and therefore its value is a quadratic surd number.

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  • The infinite general continued fraction of the first class cannot diverge for its value lies between that of its first two convergents.

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  • The infinite continued fraction a2 +a3+ an ..

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  • Here, again, the theology was further developed, and an attempt made to annul the old dualism by envisaging both Ormuzd and Ahriman as emanations of an original principle of infinite time (Zervan), a doctrine which long enjoyed official validity under the Sassanids till, in the reign of Chosroes I., the sect of Zervanites was pronounced heretical.i But, above all, the ritual and the doctrine of purity were elaborated and expanded, and there was evolved a complete and detailed system of casuistry, dealing with all things allowed and forbidden, the forms of pollution and the expiation for each, &c., which, in its arid and spiritles1 monotony vividly recalls the similar prescriptions in the Pentateuch.

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  • Metaphorically it is used for the immeasurable darkness, eternity, and the infinite generally.

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  • Five months after it appeared, "on the 21st of January 1609, at four in the morning, he fell asleep in Heinsius's arms. The aspiring spirit ascended before the Infinite.

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  • If we next introduce a new function of f and write f .f 4(f) d f =Il (f), (23) then m m' II(f) will represent - (I) The work done by the attractive force on the particle m, while it is brought from an infinite distance from m' to the distance f from m'; or (2) The attraction of a particle m on a narrow straight rod resolved in the direction of the length of the rod, one extremity of the rod being at a distance f from m, and the other at an infinite distance, the mass of unit of length of the rod being m'.

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  • Multiplying this by m and by 7(f), we obtain for the work done by the attraction of this element when m is brought from an infinite distance to P1, maur1 fI I (f)dfdw.

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  • This expression, when integrated, gives (I) the work done on a particle m while it is brought from an infinite distance to the point P, or (2) the attraction on a long slender column normal to the surface and terminating at P, the mass of unit of length of the column being m.

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  • Now 2 7rmpi,t(c) represents the attraction between a particle m and the plane surface of an infinite mass of the liquid, when the distance of the particle outside the surface is c. Now, the force between the particle and the liquid is certainly, on the whole, attractive; but if between any two small values of c it should be repulsive, then for films whose thickness lies between these values the tension will increase as the thickness diminishes, but for all other cases the tension will diminish as the thickness diminishes.

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  • If a i, a 2 represent the densities of the two infinite solids, their mutual attraction at distance z is per unit of area 21ra l a fZ '(z)dz, (30) or 27ra l 02 0(z), if we write f 4,(z)dz=0(z) (31) The work required to produce the separation in question is thus 2 7ru l a o 0 (z)dz; (32) and for the tension of a liquid of density a we have T = a f o 0 (z)dz.

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  • If n +4 be positive, the attraction of infinitely distant parts contributes to the result; while if n+4 be negative, the parts in immediate contiguity act with infinite power.

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  • When the number of steps is infinite, the capillary pressure disappears altogether."

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  • These component deformations are in general infinite in number, of very wave-length and of arbitrary phase; but in the first stages of the motion, with which alone we are at present concerned, each produces its effect independently of every other, and may be considered by itself.

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  • An infinite number of atoms was carried downwards through infinite space.

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  • Atoms and void being infinite in number and extent, and motion having always existed, there must always have been an infinite number of worlds, all consisting of similar atoms, in various stages of growth and decay.

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  • The other colours result from various mixtures of these four, and are infinite in number.

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  • From the 12th to the 15th century inclusive, sealing was the ordinary process of authenticating legal documents; and during that period an infinite variety of seals was in existence.

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  • A similar idea is prominent in many philosophico-religious systems wherein the idea of God or the Infinite is, as it were, the union of the ego and the non-ego, of subject and object.

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  • The self of man is regarded as having limitations, whereas the Godhead is infinite and all-inclusive.

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  • In many mystical Oriental religions the perfection of the human self is absorption in the infinite, as a ripple dies away on the surface of water.

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  • He was at issue, however, with the atomistic materialism of Democritus in regard to its twin assumptions of absolute atoms and infinite space.

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  • The method by which the cycloid is generated shows that it consists of an infinite number of cusps placed along the fixed line and separated by a constant distance equal to the circumference of the rolling circle.

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  • Plucker finally (Gergonne Ann., 1828-1829) showed how many points must be taken on a curve of any degree so that curves of the same degree (infinite in number) may be drawn through them, and proved that all the points, beyond the given ones, in which these curves intersect the given one are fixed by the original choice.

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  • Huxley acknowledged an immeasurable and practically infinite divergence, ending in the present enormous psychological gulf between ape and man.

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  • One of these was a cartoon or monochrome painting of Adam and Eve in tempera, and in this, besides the beauty of the figures, the infinite truth and elaboration of the foliage and animals in the background are celebrated in terms which bring to mind the treatment of the subject by Albrecht Darer in his famous engraving done thirty years later.

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  • Thus mathematics assumes space as an existent infinite, without investigating in what sense the existence or the infinity of this Unding, as Kant called it, can be asserted.

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  • In the article Refraction it is shown that a ray of light traversing a homogeneous medium is deviated from its rectilinear path when it enters a medium of different refractive index; it is therefore readily seen that the path of a ray through continuously varying media is necessarily curvilinear, being compounded of an infinite number of infinitesimally small rectilinear deviations.

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  • And thus in Philo's conception the Logos is much more than "the principle of reason, informing the infinite variety of things, and so creating the World-Order"; it is also the divine dynamic, the energy and self-revelation of God.

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  • The Stoics indeed sought, more or less consciously, by their doctrine of the Logos as the Infinite Reason to escape from the belief in a divine Creator, but Philo, Jew to the core, starts from the Jewish belief in a supreme, self-existing God, to whom the reason of the world must be subordinated though related.

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  • He therefore insisted that England should be required not merely to pay damages for the havoc wrought by the " Alabama " and other cruisers fitted out for Confederate service in her ports, but that, for " that other damage, immense and infinite, caused by the prolongation of the war," the withdrawal of the British flag from this hemisphere could " not be abandoned as a condition or preliminary of such a settlement as is now proposed."

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  • Hence arise infinite and inextricable difficulties which obstruct the study of canon law; an immense field for controversy and litigation; a thousand perplexities of conscience; and finally contempt for the laws."' We know how the Vatican council had to separate without approaching the question of canonical reform; but this general desire for a recasting of the ecclesiastical code was taken up again on the initiative of Rome.

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  • At such time I found the method of Infinite Series; and in summer 1665, being forced from Cambridge by the plague, I computed the area of the Hyperbola at Boothby, in Lincolnshire, to two and fifty figures by the same method."

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  • Cousin Relations was opposed to Kant in asserting that the uncondi- to Kant, tioned in the form of infinite or absolute cause is but Schelling a mere unrealizable tentative or effort on the part of and Hegel.

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  • The absolute or infinite - the unconditioned ground and source of all reality - is yet apprehended by us as an immediate datum or reality; and it is apprehended in consciousness - under its condition, that, to wit, of distinguishing subject and object, knower and known.

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  • The correlation of the ideas of infinite and finite does not necessarily imply their correality, as Cousin supposes; on the contrary, it is a presumption that finite is simply positive and infinite negative of the same - that the finite and infinite are simply contradictory relatives.

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  • A study of the few sentences under this head might have obviated the trifling criticism of Hamilton's objection which has been set afloat recently, that the denial of a knowledge of the absolute or infinite implies a foregone knowledge of it.

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  • Once applied to the facts at all, it would drive us beyond the first antecedent or term of antecedents of volition to a still further cause or ground - in fact, land us in an infinite regress of causes.

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  • This is a mere paralogism; we can never infer either absolute or infinite from relative or finite.

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  • In many examples of apparent plasticity it can be shown that this effect has been produced by an infinite number of minute slippings within the rock substance.

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  • Between this opening and this close the pageant of history and of legend, marshalled and vivified by the will and the hand of the poet, ranges through an infinite variety of action and passion, of light and darkness, of terror and pity, of lyric rapture and of tragic triumph.

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  • Obviously the number of such geometrical or kinematical definitions is infinite.

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  • The branch, whether re-entrant or infinite, may have a cusp or cusps, or it may cut itself or another branch, thus having or giving rise to crunodes or double points with distinct real tangents; an acnode, or double point with imaginary tangents, is a branch by itself, - it may be considered as an indefinitely small re-entrant branch.

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  • Names may also be used for the different forms of infinite branches, but we have first to consider the distinction of hyperbolic and parabolic. The leg of an infinite branch may have at the extremity a tangent; this is an asymptote of the curve, and the leg is then hyperbolic; or the leg may tend to a fixed direction, but so that the tangent goes further and further off to infinity, and the leg is then parabolic; a branch may thus be hyperbolic or parabolic as to its two legs; or it may be hyperbolic as to one leg and parabolic as to the other.

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  • As mentioned with regard to a branch generally, an infinite branch of any kind may have cusps, or, by cutting itself or another branch, may have or give rise to a crunode, &c.

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  • It may be remarked generally that there are at most three infinite branches, and that there may besides be a re-entrant branch or oval.

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  • There are two non-singular kinds, the one with, the other without, an oval, but each of them has an infinite (as Newton describes it) campaniform branch; this cuts the axis at right angles, being at first concave, but ultimately convex, towards the axis, the two legs continually tending to become at right angles to the axis.

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  • The oval may unite itself with the infinite branch, or it may dwindle into a point, and we have the crunodal and the acnodal forms respectively; or if simultaneously the oval dwindles into a point and unites itself to the infinite branch, we have the cuspidal form.

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  • The ideal Akil is grave, calm and dignified, with an infinite capacity of keeping a secret, and a devotion that knows no limits to the interests of his creed.

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  • Sir William Hamilton's " philosophy of the unconditioned," and, Herbert Spencer's doctrine of the infinite " unknowable "); if it is argued that knowledge of a thing arises only from the recognition of its differences from other things (i.e.

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  • With this conception of the infinite as absolutely unconditioned should be compared what may be described roughly as lesser infinities which can be philosophically conceived and mathematically demonstrated.

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  • The line itself, again, in relation to the plane is a unit, while the plane is infinite, i.e.

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  • This is Spinoza's theory of the infinitely infinite," the limiting notion of infinity being of a numerical, quantitative series, each term of which is a qualitative determination itself quantitatively little, e.g.

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  • A similar relation exists in thought between the various grades of species and genera; the highest genus is the " infinitely infinite," each subordinated genus being infinite in relation to the particulars which it denotes, and finite when regarded as a unit in a higher genus.

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  • In mathematics, the term " infinite " denotes the result of increasing a variable without limit; similarly, the term " infinitesimal," meaning indefinitely small, denotes the result of diminishing the value of a variable without limit, with the reservation that it never becomes actually zero.

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  • If human understanding cannot fully solve the infinite problem of the universe, man may at least see that at no stage of his finite experience is he necessarily the sport of chance, and that he can practically secure his own wellbeing.

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  • The modifications of which these are susceptible he reports to be " inexhaustible and truly infinite, extension alone affording a boundless field to the mathematicians."

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  • When we reflect on immensity and eternity, we find them negations of all that is imaginable; and that whether we try infinite addition or infinite subdivision.

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  • After all our additions we are as far from the infinite idea as we were at the beginning.

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  • Porion and Deherain have shown 1 the "infinite superiority" in yield over the ordinary wheats of a particular square-headed variety grown on rich soil in the north of France.

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  • Six years later he conducted a large fleet of warships to England, which did infinite damage, but failed to capture London.

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  • The ultimate sanctions of the moral code were the infinite rewards and punishments awaiting the immortal soul hereafter; but the church early felt the necessity of withdrawing the privileges of membership from apostates and allowing them to be gradually regained only by a solemn ceremonial expressive of repentance, protracted through several years.

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  • It is known that, while infinite diversity is found among the bodies of the universe, there are also common characteristics throughout its whole extent.

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  • Imagining, as we may well do, that the radius of this sphere is infinite - then every direction, whatever the origin, may be represented by a point on its surface.

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  • Another corollary is that in the case of a body moving in a parabolic orbit the velocity at any moment is that which would be acquired by the body in falling from an infinite distance to the place it occupies at the moment.

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  • In this case the variation will be simply periodic, The value of any element of the planet's motion will generally be represented by the sum of an infinite series of such periodic quantities, having different periods.

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  • The longitudes, latitudes and radii vectores of a planet, being algebraically expressed as the sum of an infinite periodic series of the kind we have been describing, it follows that the problem of finding their co-ordinates at any moment is solved by computing these expressions.

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  • The curve is symmetrical about the axis of x, and consists of two infinite branches asymptotic to the line BT and forming a cusp at the origin.

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  • The expressions for the longitude, latitude `and parallax appear as an infinite trigonometric series, in which the coefficients of the sines and cosines are themselves infinite series proceeding according to the powers of the above small numbers.

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  • The dominant thought is the infinite and transcendent sovereignty of God, to know whom is the supreme end of human endeavour.

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  • It is above all the substance of religious feeling, which is the immediate consciousness of the unity of the world, of the absolute oneness behind the infinite multiplicity of contrasts; indeed, it is the religious conviction of the unity which is the best guarantee of the truth of the suppositions of philosophy.

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  • The divine omnipotence is quantitatively represented by the sum of the forces of nature, and qualitatively distinguished from them only as the unity of infinite causality from the multiplicity of its finite phenomena.

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  • Schleiermacher's psychology takes as its basis the phenomenal dualism of the ego and the non-ego, and regards the life of man as the interaction of these elements with their interpenetration as its infinite destination.

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  • In his earlier days he called it a feeling or intuition of the universe, consciousness of the unity of reason and nature, of the infinite and the eternal within the finite and the temporal.

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  • The specific feature of Christianity is its mediatorial element, its profound feeling of the striving of the finite individual to reach the unity of the infinite whole, and its conception of the way in which Deity deals with this effort by mediatorial agencies, which are both divine and human.

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  • He states the various proofs for the existence of an immaterial, infinite, supreme Being, asserts that this Being is the author of the visible universe, and strongly defends the doctrine of the foreknowledge and particular providence of God.

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  • But the justice of God demands satisfaction; and as an insult to infinite honour is in itself infinite, the satisfaction must be infinite, i.e.

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  • Hence, that a body may pass from one point to another, it must traverse an infinite number of divisions.

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  • But an infinite distance (which Zeno fails to distinguish from a finite distance infinitely divided) cannot be traversed in a finite time.

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  • Thus Zeno again confounds a finite distance infinitely divided with an infinite distance.

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  • The former should be regarded as asserting that the whole is, not temporally, but logically, subsequent to the part, and that therefore there is an infinite regress in the notion of a whole which is infinitely divisible - a view which at any rate demands a serious refutation.

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  • Dr Hahn tries to prove (by philology's " artful aid ") that the name really means " red dawn," and is a Hottentot way of speaking of the infinite.

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  • If we grant, however, for the sake of argument, that the early Hottentots worshipped the infinite under the figure of the dawn, and that, by forgetting their own meaning, they came to believe that the words which really meant " red dawn" meant " wounded knee " we must still admit that the devout have assigned to their deity all the attributes of an ancestral sorcerer.

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  • This may be taken either in a refined sense, as if Aditi were the " infinite " region from which the solar deities rise,' or we may hold with the Taittirya-Brahmana' that Aditi was a female who, being desirous of offspring, cooked a brahmandana offering for the Sadhyas.

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  • More valid instances of the anticipation of modern discoveries may be found in his prevision that a small annual parallax would eventually be found for some of the fixed stars, and that extra-Saturnian planets would at some future time be ascertained to exist, and in his conviction that light travels with a measurable, although, in relation to terrestrial distances, infinite velocity.

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  • In support of such a view are adduced not only the metaphysical difficulty of postulating any relationship between the infinite and the purely finite, but also the ethical 1 P. G., tom.

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  • The later sect of the Zervanites held that both were visible manifestations of the primeval principle Zruvan akarana (Infinite Time).

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  • In the next reign, however, both father and son caused infinite trouble to loyal servants of Egypt like Rib-Addi, governor of Gubla (Gebal).

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  • To his infinite chagrin, during this brief absence his father died.

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  • According to the amount of union of the lobes and the unequal development of different parts of their surface an infinite variety of forms is produced.

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  • He was a soldier of infinite personal courage and daring, of striking military energy, initiative and resource; a high, pure and single character, dwelling much in the region of the unseen.

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  • You have infinite immortals at your disposal.

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  • Communication is a gestalt, made up of gesture, tone and the infinite vagaries of the living face.

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  • Against this conception Critchley has articulated an ethical discourse based on infinite alterity as a demand that calls us to engage with the world.

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  • The ' exclusive ' option then raises the attack power to 99.9 and gives infinite ammo.

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  • They demonstrate how to design a one-dimensional cellular automaton that supports infinite families of signals of different speeds.

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  • We have a number of pieces, like those in drafts, set out on an infinite chessboard.

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  • To a considerable extent, finite and infinite combinatorics are parts of the same subject.

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  • And all this without bargain or condition, and unconstrained by any motive save His own infinite compassion.

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  • Man's sin was brought into the presence of infinite holiness, a divine compassion and a perfect redemption.

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  • Why are you so conceited that you think your life is worth anything at all to an infinite God?

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  • These are infinite decimals in which the digits are uniformly distributed.

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  • It gives a continuous curve which is of infinite length and nowhere differentiable.

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  • An alternative method is the application of the frontal method at infinite dilution.

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  • Otherwise an infinite sequence of events must have already elapsed.

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  • Furthermore, it is not possible for the infinite and finite and finite to mix, making an infinite finite.

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  • The interpretation we produced was itself either finite or denumerably infinite.

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  • For them, the realities of a very finite planet simply do not equate with their conventional wisdoms of infinite growth.

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  • Indeed, we only have a sense of the infinite, or what is not finite, or what is not finite, from various created finite viewpoints.

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  • As speculative computations may be infinite, while mandatory ones remain finite, while mandatory ones remain finite, divergence should be defined with the greatest care.

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  • His fulness is an infinite fulness; and he is infinitely sweet, as well as infinitely full.

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  • Its place in ethics has to be taken by the idea of infinite goodness.

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  • But He's not just the God of infinite holiness and justice; He's a God of amazing love.

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  • Why does defining a set make the actual infinite a reality?

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  • For Aristotle all the elements in an actual finite exist simultaneously, whereas a potential infinite is realized over time by addition or division.

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  • However, if these sets are considered as single rep-tiles, then I cannot demonstrate that the full set of rep-tiles is uncountably infinite.

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  • There is a seemingly infinite textural variety in these pieces.

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  • Anchors occur throughout all of our sensory channels in a potentially infinite number of ways.

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  • In the Lear CD there are an almost infinite number of pathways through the material.

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  • The second, which he terms the kalām argument, holds that an infinite temporal regress is impossible because an actual infinite is impossible.

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  • Million-square-foot Xanadu meadowlands one had smashed suddenly so popular of infinite capacity.

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  • I felt as before that I loved God, that my mind embraced and accepted that ideal of justice, tenderness and holiness which I had never doubted, but with which I had never held direct communion, and now at last I felt that this communion was consummated, as though an invincible barrier had been broken down between the source of infinite light and the smouldering fire of my heart.

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  • The three main steps in the argument are the veracity of our thought when that thought is true to itself, the inevitable uprising of thought from its fragmentary aspects in our habitual consciousness to the infinite and perfect existence which God is, and the ultimate reduction of the material universe to extension and local movement.

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  • The infinite universe is infinitely full of matter.

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  • The in solido definition as the section of a cone by a plane at a less inclination to the axis than the generator brings out the existence of the two infinite branches if we imagine the cone to be double and to extend to infinity.

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  • Schleiermacher applies the phrase " the immortality of religion " to the religious emotion of oneness, amid finitude, with the infinite and, amid time, with the eternal; denies any necessary connexion between the belief in the continuance of personal existence and the consciousness of God; and rests his faith on immortality altogether on Christ's promise of living fellowship with His followers, as presupposing their as well as His personal immortality.

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  • He rejects the attempt to explain human personality as " generated by the material molecular aggregate of its own unaided latent power," and affirms that the " universe where the human spirit is more at home than it is among these temporary collocations of matter" is " a universe capable of infinite development, of noble contemplation, and of lofty joy, long after this planet - nay the whole solar system - shall have fulfilled its present spire of destiny, and retired cold and lifeless upon its endless way " (pp. 199-200).

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  • Since a finite number of particles is only susceptible of finite transpositions, it must happen (he says), in an eternal duration that every possible order or position will be tried an infinite number of times, and hence this world is to be regarded (as the Stoics maintained) as an exact reproduction of previous worlds.

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  • By placing substantial reality in an infinite number of monads whose essential nature is force or activity, which is conceived as mental (representation), Leibnitz was carried on to the explanation of the successive order of the world.

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  • The thinker who sees man confronted by the infinite non-moral forces presumed by natural pantheism inevitably predominating over the finite powers of men may appear to the modern Christian theologian or to the evolutionist as a hopeless pessimist, and yet may himself have concluded that, though the future holds out no prospect save that of annihilation, man may yet by prudence and care enjoy a considerable measure of happiness.

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  • As creation involves intention, desire, thought and work, and as these are properties which imply limit and belong to a finite being, and moreover as the imperfect and circumscribed nature of this creation precludes the idea of its being the direct work of the infinite and perfect, the En Soph had to become creative, through the medium of ten Sephiroth or intelligences, which emanated from him like rays proceeding from a luminary.

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  • The arithmetic of the infinite cardinals does not correspond to that of the infinite ordinals.

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  • It will suffice to mention here that Peano's fourth premiss of arithmetic does not hold for infinite cardinals or for infinite ordinals.

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  • These atoms are themselves infinite in number but limited in their varieties, and by their ceaseless movement and combinations during infinite time and through infinite space the whole process of creation is maintained.

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  • Any circular filament can be started from rest by the application of a circumferential impulse 7rpmdr at each end of a diameter; so that a mechanism attached to the cylinders, which can set up a uniform distributed impulse rpm across the two parts of a diameter in the liquid, will generate the vortex motion, and react on the cylinder with an impulse couple-pmira 2 and pm7rb 2, having resultant pm7r(b 2 -a 2), and this couple is infinite when b = oo, as the angular momentum of the vortex is infinite.

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  • Lastly he gave an infinite product for the number it (see Circle, Squaring Of).

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  • Ladd (q.v.) also believes in " a larger all-inclusive self," and goes so far as the paradox that perfect personality is only reconcilable with one infinite being.

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  • The "dielectric constant" of a medium is its specific inductive capacity, and on the electromagnetic theory of light it equals the square of its refractive index for light of infinite wave length (see Electrostatics; Magneto-Optics).

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  • The methods in which these are provided are of infinite variety, and any and every part of the flower and of the inflorescence may be called into requisition to supply the adaptation (see Fruit).

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  • The Veda, that is to say, had existed in the divine mind ere it was made known to men, and as such it belonged to the realm of the deathless and the infinite.

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  • The infinite or non-finite is not necessarily known, ere the finite is negated, or in order to negate it; all that needs be known is the finite itself; and the contradictory negation of it implies no positive.

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  • This is important as a preliminary stage, but philosophy properly begins when it attempts to coordinate or systematize those convictions in harmony, to conciliate apparent contradiction and opposition, as between the correlative notions of finite and infinite, the apparently conflicting notions of personality and infinitude, self and not-self; in a word, to reconcile the various sides of consciousness with each other.

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  • Next year the great tragic poem of Torquemada came forth to bear witness that the hand which wrote Ruy Blas had lost nothing of its godlike power and its matchless cunning, if the author of Le Roi s'amuse had ceased to care much about coherence of construction from the theatrical point of view as compared with the perfection of a tragedy designed for the devotion of students not unworthy or incapable of the study; that his command of pity and terror, his powers of intuition and invention, had never been more absolute and more sublime; and that his infinite and illimitable charity of imagination could transfigure even the most monstrous historic representative of Christian or Catholic diabolatry into the likeness of a terribly benevolent and a tragically magnificent monomaniac. Two years later Victor Hugo published the third and concluding series of La Legende des siecles.

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  • Toute la lyre, his latest legacy to the world, would be enough, though no other evidence were left, to show that the author was one of the very greatest among poets and among men; unsurpassed in sublimity of spirit, in spontaneity of utterance, in variety of power, and in perfection of workmanship; infinite and profound beyond all reach of praise at once in thought and in sympathy, in perception and in passion; master of all the simplest as of all the subtlest melodies or symphonies of song that ever found expression in a Border ballad or a Pythian ode.

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  • By the world at large he is known as the commander of the voyage of circumnavigation, in which success was won by indomitable perseverance, unshaken firmness, and infinite resource.

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  • Is it finite, or is it for all practical purposes infinite?

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  • It is essentially infinite.

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  • A quickie for Infinite lives, type it in and play the original tape from the start.

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  • Infinite space reddens then cools silently at the heart of the rose.

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  • Redeemed by the blood of the Lamb; Redeemed through His infinite mercy - His child, and forever, I am.

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  • All are intended for a single purpose - to help you to discover the infinite riches of God 's Word for yourself.

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  • This infinite and Eternal Cause...is the rootless root of all that was, is, or ever shall be.

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  • He was a fantastic teacher with infinite patience and a great sense of humor.

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  • The singularity theorems imply the universe had an infinite density at some time in the past.

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  • This paper describes the determination of the solubility parameter of starch measured by water at infinite dilution.

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  • Polycyclic Groups Finite soluble groups and infinite polycyclic groups have special generating systems chosen in accordance with a subnormal series with cyclic factors.

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  • They can signify infinite subtleties which seem ' beyond words '.

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  • So the quality of our attention, and our selective awareness, controls what we summon forth from the field of infinite possibilities.

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  • The system allowed for the infinite adjustment of the engine 's valve timing, which maximized low-end torque as well as top end power.

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  • When the imaginary transfinite mathematics of the actual infinite is translated into real finite terms, the results are nonsensical.

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  • Copper is after all an element, and the transmutation of elements is more difficult than the phrase " infinite substitutability " implies !

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  • Infinite war is the war that is fought for a " national " security in which capitalist production and sovereignty are transnational in character.

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  • Human communication is a gestalt, made up of gesture, tone and the infinite vagaries of the living face.

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  • There are an infinite number of ways you could wiggle a finger or waggle your head.

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  • The phases of the womanly nature are infinite in their variety.

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  • Million-square-foot xanadu meadowlands one had smashed suddenly so popular of infinite capacity.

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  • Of course, there are an infinite number of places where you can shop for birthday gifts, depending upon what the person wants or what you plan to give.

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  • The choice of gifts is infinite, and often very much down to personal preference.

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  • Glass can be used an infinite amount of time and aluminum and paper can be reclaimed many times before they're finally done.

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  • Renewable energy sources, such as wind and solar power, are constantly replenished and infinite.

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  • Wind energy is infinite, pollution-free, and does not produce radioactive or toxic waste.

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  • The biggest is an infinite power source that doesn't pollute the environment.

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  • There are infinite choices in bedding, from 600 thread count luxurious sheets to budget bedding in colorful prints.

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  • There are two basic techniques used to make an infinite variety of decorative wreaths.

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  • Fabric is not the only choice; infinite possibilities exist.

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  • L'Oreal makes lovely quads (Wear Infinite) you can pick up at any drugstore for a reasonable price.

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  • Digital supplies can be used an infinite number of times and don't require the large amount of storage space you need for traditional scrapbooking.

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  • It may not be possible to target all of the thoughts a person has because the number may be infinite; the therapist will target the biggest ones.

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  • However, if you have a little experience working at least one job previously, there are an infinite number of other jobs available to you.

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  • He is the author of Boy Meets Boy, The Realm of Possibility, Love is the Higher, and (with Rachel Cohn) Nick and Norah's Infinite Playlist and Naomi and Ely's No Kiss List.

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  • These Ramblers have done infinite harm to the culture of Roses, and excepting the few kinds one really enjoys after a thorough trial, would be best abolished.

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  • What make vessel sinks so amazing are the infinite variations of material.

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  • Infinite Marketplace - There isn't as wide a selection of the tall easy fit jeans at Infinite Marketplace as there are other jeans, but the price per pair of jeans makes them a great buy.

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  • The Internet is also an infinite resource.

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  • There are infinite resources on the Internet and we're avid Web surfers.

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  • You can an infinite amount of money by going to the Weapon's Shop in Arindale.

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  • Theoretically, you have a seemingly infinite number of routines you can set up.

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  • Your well in this case is every enemy in the game (and a few places around the game), and your water is an infinite supply of magic spells to use at your leisure.

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  • Code effects range from infinite lives or health to drastically changing gameplay by inverting gravity or changing the physics of certain stages.

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  • Infinite Experience - In the Pandora's Temple quest, there are a series of stone walls that you can climb.

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  • Warp somewhere else, turn human, and you will have infinite bomb arrows from the "Lent Bomb Bag" and a glitched quiver.

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  • Use these codes to dominate the game, but don't use infinite health when fighting the last boss!

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  • You have an infinite number of jobs to undertake and the designers keep on adding more.

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  • In doing so, you'll become the Don of New York and unlock infinite ammo and 1 million dollars.

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  • Resave and reload to your heart's content, effectively getting infinite money and respect.

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  • The biggest advantage that touchscreens have over non-touchscreens is the ability to provide for a near infinite number of virtual buttons.

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  • For a more comprehensive solution, you can opt for Infinite BlackBerry ($35/month) for unlimited Internet.

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  • There are many reasons to learn dance moves, and even better, there are almost an infinite number of dance moves you can learn.

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  • This number is unique because it's infinite.

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  • You can't use an infinite number as a whole number or a fraction.

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  • Nature, music, architecture, art and even the human form were discovered to repeat this mathematical proportion of infinite perfection.

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  • The number used to represent the Golden Ration is infinite.

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  • You should be able to take any Golden Rectangle or Golden Triangle building and divide the building into infinite rectangles and triangles.

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  • The mathematical value of the Golden Ratio is an infinite number.

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  • An infinite number, the Golden Ratio is usually expressed as 1.618.

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  • These teachings explain that since Tao is infinite and indefinable it cannot be controlled by anyone or anything.

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  • This action and reaction is infinite just as the Tao is infinite.

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  • An infinite number, the Golden Ratio is generally expressed mathematically as 1.618.

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  • Considered nature's perfect number, the Golden Ratio is an infinite number found in almost every aspect of life, the arts and the universe.

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  • As an infinite number, the value of Phi goes on indefinitely and mathematicians have actually carried its value to 100 billion places.

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  • An infinite and constant number, the Golden Ratio is more than just a mathematical fact.

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  • Looking at the Golden Ratio from a mathematical perspective, the infinite number is known as Phi.

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  • When you put your hair up, the options are nearly infinite.

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  • Hair comes in an infinite variety of styles, cuts, and colors, and our articles reflect that diversity.

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  • The infinite number of simple and complex designs presents many opportunities for interesting art projects.

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  • For girls you're likely to find bikinis, tankinis and monokinis all with a near infinite number of style options from boy-cut shorts to string bikinis.

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  • Any draw piles are typically randomized, giving the player an infinite number of ways to play.

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  • While there is the disadvantage of not being able to physically see or handle the items or the methods of personalization, the number of places you can create amazing items is almost infinite.

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  • There are probably an infinite number of techniques to attract a girl, but the ones that will work involve a combination of confidence, romance, and timing.

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  • A core tenet of a polyamorous relationship is that love has infinite capacity.

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  • Meyer also worked with the Infinite Jewelry CO. to develop a version of Bella's engagement ring for retail.

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  • The Infinite Jewelry CO. sells the only authorized version of the Twilight engagement ring.

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  • You may need to remind yourself that this sign has lived through each of the other eleven signs and has gained infinite wisdom and insight into not just the human side of life, but the spiritual side.

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  • Get creative and you will find that there are infinite possibilities.

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  • Whether the movie makes us feel infinite or make our sides ache with laughter, we are able to lose our everyday banality in memories of our own high school experiences.

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  • There is an infinite beauty in those simple words.

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  • Their infinite sex appeal, classic appearance and ability to wear well with everything from skinny jeans to cocktail dresses make them quite irresistible.

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  • For fans of Lorelai and Luke, Lorelai and Christopher, Lorelai and Max, Lorelai and Rory, Rory and Dean, Rory and Jess or Rory and Logan, the options are infinite.

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  • One of the best things about butterfly designs is their infinite flexibility.

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  • There are several factors that make one word tattoo design different from another, which allows a near infinite level of diversity amongst word-based tattoos.

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  • There seems to be an infinite number of things to see in the city of Rome.

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  • There are, however, almost infinite ways that these key features can be varied to bring a novel adaptation to the classic watch design.

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  • In 1998, New York City yogi Jayadev "embraced the infinite" with a Midnight Yoga for Men class.

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  • Even your trash can remain available to you for an almost infinite amount of time.

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  • There are infinite variations of the spirit week opposite dress day.

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  • There are infinite combinations available for delicious salads and healthy dressings.

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  • Since fat tends to accumulate on the outer thighs, some woman believe that performing an infinite number of side leg raises will help them lose inches.

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  • The result was Mellon Collie and the Infinite Sadness, a double-disc album with 28 songs and over 2 hours of music.

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  • Their signature sound went through an evolution shortly after Mellon Collie and the Infinite Sadness to produce an entirely unique sound.

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  • One of the most popular alternative albums ever, Mellon Collie and the Infinite Sadness features 28 tracks of some of the Pumpkins' finest rock music.

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  • The Bass Brothers, owners of the studio, released the debut, called Infinite, on their indie label Web Entertainment.

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  • He followed Infinite with the release of The Slim Shady EP in 1997.

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  • Charades is the ultimate party game, because anyone can play and you can have an infinite number of players and teams.

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  • As you begin to perceive this multi-dimensional reality, you understand there are endless copies of you living in infinite parallel worlds.

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  • This creates a new set of circumstances, each of which has a multitude of choices with different results and so the chain reaction of events becomes infinite.

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  • Circe is a sorceress of vast and infinite power who transforms, manipulates and controls those around her.

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  • When the Crisis on Infinite Earths occurred, the multiverse began to collapse, ending the existence of many Earth Two heroes.

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  • It has a point; while at first it may look like the new system gives you less direct control, the fact that you have the ability to put in custom CSS means that you have essentially infinite control over your page.

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  • There are an infinite variety of theme-based graphics available for MySpace.

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  • This means that the variations in jersey styles and colors is almost infinite.

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  • This site doesn't have an exceptionally wide range of fabrics, but the number of styles based on other popular countries and teams is almost infinite.

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  • There are almost infinite uses for the font.

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  • The thing to remember is that since there is an infinite variety of available options for website design and hosting, it pays to take the time to figure out exactly what your site will need.

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  • Before Lightfoot's time commentaries, especially on the epistles, had not infrequently consisted either of short homilies on particular portions of the text, or of endeavours to enforce foregone conclusions, or of attempts to decide with infinite industry and ingenuity between the interpretations of former commentators.

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  • The selection of the topics of mathematical inquiry among the infinite variety open to it has been guided by the useful applications, and indeed the abstract theory has only recently been disentangled from the empirical elements connected with these applications.

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  • Indeed, mathematicians now reserve "continuity" as the term for the latter kind of continuity; the mere property of having an infinite number of terms between any two terms is called "compactness."

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  • Under the general heading "Analysis" occur the subheadings "Foundations of Analysis," with the topics theory of functions of real variables, series and other infinite processes, principles and elements of the differential and of the integral calculus, definite integrals, and calculus of variations; "Theory of Functions of Complex Variables," with the topics functions of one variable and of several variables; "Algebraic Functions and their Integrals," with the topics algebraic functions of one and of several variables, elliptic functions and single theta functions, Abelian integrals; "Other Special Functions," with the topics Euler's, Legendre's, Bessel's and automorphic functions; "Differential Equations," with the topics existence theorems, methods of solution, general theory; "Differential Forms and Differential Invariants," with the topics differential forms, including Pfaffians, transformation of differential forms, including tangential (or contact) transformations, differential invariants; "Analytical Methods connected with Physical Subjects," with the topics harmonic analysis, Fourier's series, the differential equations of applied mathematics, Dirichlet's problem; "Difference Equations and Functional Equations," with the topics recurring series, solution of equations of finite differences and functional equations.

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  • Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other mathematicians, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern geometry, and Gauss inaugurated the differential geometry of surfaces.

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  • If µ be the molecular conductivity, and its value at infinite dilution, the fractional number of molecules dissociated is k /µop, which we may write as a.

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  • Arithmetical groups, connected with the theory of quadratic forms and other branches of the theory of numbers, which are termed "discontinuous," and infinite groups connected with differential forms and equations, came into existence, and also particular linear and higher transformations connected with analysis and geometry.

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  • If m be infinite and 1 + b i x + b 2 x 2 +...

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  • The Complete Theory Of The Perpetuants Appertaining To Two Or More Forms Of Infinite Order Has Not Yet Been Established.

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  • The main objections to this are that it does not explain the infinite variety of phenomena, and that it disregards the distinction which most philosophers admit between higher and lower pleasures.

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  • For a point in the line OY bisecting the magnet perpendicularly, 0 =42 therefore cos 0 =0, and the point D is at an infinite distance.

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  • A magnet may be regarded as consisting of an infinite number of elementary magnets, each having a pair of poles and a definite magnetic moment.

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  • Since p can never be infinite, complete shielding is not possible.

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  • This corresponds to the second stage of magnetization, in which the susceptibility is large and permanent magnetization is set up. A still stronger magnetizing force has little effect except in causing the direction of the needles to approach still more nearly to that of the field; if the force were infinite, every member of the group ‘ would have exactly the same direction and the greatest possible resultant moment would be reached; this illustrates " magnetic saturation " - the condition approached in the third stage of magnetization.

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  • The leading idea of this work was contained in a paper published in the Berlin Memoirs for 1772.5 Its object was the elimination of the, to some minds, unsatisfactory conception of the infinite from the metaphysics of the higher mathematics, and the substitution for the differential and integral calculus of an analogous method depending wholly on the serial development of algebraical functions.

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  • In the first group are found Infinite Time, or Cronus; Tellus and Atlas supporting the globe, representing the union of Earth and Heaven; Oceanus; the Fates; Infinite Time giving into the hand of his successor Ormazd the thunderbolt, the symbol of authority; Ormazd struggling with a giant of evil - the Mithraic gigantomachy.

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  • In the former the ideas of personality and infinite power have vanished, all power being conceived as inherent in God.

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  • His development of the equation x m +- px = q in an infinite series was extended by Leonhard Euler, and particularly by Joseph Louis Lagrange.

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  • A period of infinite confusion and extreme misery now ensued, of which only the salient points can here be noted.

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  • A continued product of this kind can, by taking logarithms, be replaced by an infinite series.

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  • In the particular case of a rectangular aperture the course of things can be readily followed, especially if we conceive f to be infinite.

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  • If r, or z, be infinite, Jo(z), J 1 (z) vanish, and the whole illumination is expressed by 71-R 2, in accordance with the general principle.

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  • According to Aristotle, "the first of Eleatic unitarians was not careful to say whether the unity which he postulated was finite or infinite, but, contemplating the whole firmament, declared that the One is God."

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  • By chemical warnings the defensive processes seem to be awakened, or summoned; and when we think of the infinite variety of such possible phases, and of the multitude of corresponding defensive agents, we may form some dim notion of the complexity of the animal blood and tissues, and within them of the organic molecules.

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  • He supposed that the surface of the fluid, contained in a vessel which is emptying itself by an orifice, remains always horizontal; and, if the fluid mass is conceived to be divided into an infinite number of horizontal strata of the same bulk, that these strata remain contiguous to each other, and that all their points descend vertically, with velocities inversely proportional to their breadth, or to the horizontal sections of the reservoir.

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  • Helmholtz, of the efflux of a jet between two edges A and A 1 in an infinite wall, is obtained by the symmetrical duplication of the above, with n = 1, b = o, a' = - oo, as in fig.

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  • Generally, by making a' = -oo, the line x'A' may be taken as a straight stream line of infinite length, forming an axis of symmetry; and then by duplica tion the result can be ob A tained, with assigned n, a, and b, of the efflux from a symmetrical converging FIG.

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  • As workers in metals and as potters they displayed infinite variety of design, while as cultivators and engineers they excelled their European conquerors.

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  • Since the potential of a conductor is defined to be the work required to move a unit of positive electricity from the surface of the earth or from an infinite distance from all electricity to the surface of the conductor, it follows that the work done in putting a small charge dq into a conductor at a potential v is v dq.

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  • He is the efficient and final cause of all, the beginning, middle, and end, eternal and infinite.

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  • It involves, it will be said, the reality of time, the dependence of the Infinite in the finite, and therewith a departure from the whole line of Hegelian thought.

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  • It is to be remedied not by giving up the idea of the Infinite but by ceasing to think of the Infinite as of a being endowed with a static perfection which the finite will merely reproduces, and definitely recognizing the forward effort of the finite as an essential element in Its self-expression.

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  • It is also clearly impossible to express u as an algebraical function of x and y if some value of du/dx or duldy is to be infinite.

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  • The difficulties of organizing the new Dominion, the questions arising from diverse claims and the various conditions of the country, called for infinite tact and resource on the part of the premier.

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  • The answer to dogmatic atheism, that it implies infinite knowledge, has been well stated in John Foster's Essays, and restated by Chalmers in his Natural Theology, and its force is recognized in Holyoake's careful qualification of the sense in which secularism accepts atheism, " always explaining the term atheist to mean `not seeing God' visually or inferentially, never suffering it to be taken for anti-theism, that is, hating God, denying God - as hating implies personal knowledge as the ground of dislike, and denying implies infinite knowledge as the ground of disproof."

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  • Louis fought a battle beneath the walls of Zara (July ist, 1346), which has been immortalized by Tintoretto, but was defeated and compelled to abandon the city to the republic. The struggle was renewed eleven years later when Louis, having formed, with infinite trouble, a league of all the enemies of Venice, including the emperor, the Habsburgs, Genoa and other Italian towns, attacked his maritime rival with such vigour that she sued for peace, and by the treaty of Zara (February 18th, 1358) ceded most of the Dalmatian towns and renounced the title of duke of Dalmatia and Croatia, hitherto borne by the doge.

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  • Here the land surface has been carved into forms in infinite variety.

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  • This gave infinite pain to the queen, and at length she wrote to Lord Aberdeen on the subject.

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  • With him he stayed for about eighteen months, and has as usual infinite complaints to make of his employer and some strange stories to tell.

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  • Anselm and the scholastics regarded the atonement as an offering to God of such infinite value as to outweigh men's sins, a view sometimes styled the " Commerical Theory."

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  • The tasks, almost infinite in number, confronting the new State were of great gravity.

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  • Still the Knights had been driven beyond the Vistula, and Poland had secured a seaboard; and it was due entirely to the infinite patience and tenacity of the king that even as much as this was won at last.

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  • The country, in the words of an expert sent to report on the subject by the French government, " can produce an infinite variety of wines suitable to every constitution and to every caprice of taste."

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  • After the battle of Bull Run Jackson spent some time in the further training of his brigade which, to his infinite regret, he was compelled to leave behind him when, in October, he was assigned as a major-general to command in the Shenandoah Valley.

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  • The primeval Being is, as opposed to the many, the One; as opposed to the finite, the Infinite, the unlimited.

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  • Thus even when the argument is real log x has an infinite number of values; for putting 71 =o and taking positive, in which case a = o, we obtain for log the infinite system of values log +2n7ri.

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  • The introduction of infinite series into mathematics effected a great change in the modes of calculation and the treatment of the subject.

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  • The ingenuity of nature, however, in adapting animals is not infinite, because the same devices are repeatedly employed by her to accomplish the same adaptive ends whether in fishes, reptiles, birds or mammals; thus she has repeated herself at least twenty-four times in the evolution of long-snouted rapacious swimming types of animals.

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  • This survey of the phenomena of extinction in one great class of animals certainly establishes the existence of an almost infinite variety of causes, some of which are internal, some external in origin, operating on animals of different kinds.

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  • The novice is classified according as his destination is the priesthood or lay brotherhood, while a third class of "indifferents" receives such as are reserved for further inquiry before a decision of this kind a strict retreat, practically in solitary confinement, during which he receives from a director, yet relying on Thine infinite kindness and mercy and impelled by the desire of serving Thee, before the Most Holy Virgin Mary and all Thy heavenly host, I, N., vow to Thy divine Majesty Poverty, Chastity and Perpetual Obedience to the Society of Jesus, and promise that I will enter the same Society to live in it perpetually, understanding all things according to the Constitutions of the Society.

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  • Nature must not be conceived as merely abstract limit to the infinite striving of spirit, as a mere series of necessary thoughts for mind.

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  • A system coaxal with the two given circles is readily constructed by describing circles through the common points on the radical axis and any third point; the minimum circle of the system is obviously that which has the common chord of intersection for diameter, the maximum is the radical axis - considered as a circle of infinite radius.

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  • Besides all this, however, and far beyond it in importance, was his use of infinite series.

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  • If things different but similar have the same attributes, and are thereby the same, then in the first place the Kantian categories, though thoughts of mental origin and therefore confined to mind, are nevertheless applicable to things, because things, though different from, are the same as, thoughts, and have the categories of thoughts; in the second place, the Fichtian Ego of mankind is not the Absolute Reason of God, and yet is the same Absolute Reason; in the third place, the Schellingian Nature is the "other " of Spirit, and yet, being a mere reflex of the Idea of Nature, is identical with Spirit; and as this Spirit is everywhere the same in God and men, Nature is also identical with our Spirit, or rather with the Infinite Spirit, or Absolute Reason, which alone exists.

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  • Where so much was necessarily uncertain and fluctuating, there was room for an almost infinite variety of development.

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  • The most important applications of the theory of vibrations are to the case of continuous systems such as strings, bars, membranes, plates, columns of air, where the number of degrees of freedom is infinite.

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  • At the same time, in judging the apparently inhuman way in which the Sudras were treated in the caste rules, one has always to bear in mind the fact that the belief in metempsychosis was already universal at the time, and seemed to afford the only rational explanation of the apparent injustice involved in the unequal distribution of the good things in this world; and that, if the Sudra was strictly excluded from the religious rites and beliefs of the superior classes, this exclusion in no way involved the question of his ultimate emancipation and his union with the Infinite Spirit, which were as certain in his case as in that of any other sentient being.

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  • From the stores of valuable materials contained in those ten volumes, it will be enough here to cite (1) the Ricordi politici, already noticed, consisting of about 400 aphorisms on political and social topics; (2) the observations on Machiavelli's Discorsi, which bring into remarkable relief the views of Italy's two great theorists on statecraft in the 16th century, and show that Guicciardini regarded Machiavelli somewhat as an amiable visionary or political enthusiast; (3) the Storia Fiorentina, an early work of the author, distinguished by its animation of style, brilliancy of portraiture, and liberality of judgment; and (4) the Dialogo del reggimento di Firenze, also in all probability an early work, in which the various forms of government suited to an Italian commonwealth are discussed with infinite subtlety, contrasted, and illustrated from the vicissitudes of Florence up to the year 1 494.

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  • The postulate of an Evil Being arises from the difficulty, at all times acutely felt by a certain type of mind, of reconciling the existence of evil with the divine attributes of perfect goodness, full knowledge and infinite power.

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  • Secondly, we must have instances in which the nature is absent; only as such cases might be infinite, attention should be limited to such of them as are most akin to the instances of presence.'

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  • Hegel, before the anthropological stage, found it in magic. Max Muller, building on philosophy and mythology, affirmed that " Religion consists in the perception of the infinite under such manifestations as are able to influence the moral character of man " (Natural Religion, 18 99, p. 188).

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  • If some, and not the least essential, of these aspects are quasi-negative, it must be remembered that negations - witness the Unseen, the Unknown, the Infinite of a more advanced theology - are well adapted to supply that mystery on which the religious consciousness feeds with the slight basis of conceptual support it needs.

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  • It accounts, too, for his polemic on the one hand against a Substantial Soul, a Buddhistic Absolute, an Infinite Spiritual Substance; on the other hand against the no less mysterious material or dynamic substratum by which naturalistic Monism explains the world.

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  • He was the friend of regular correspondent - a third of the letters preserved to us are to or from him; and it appears from his first letter that their talk on this occasion was "on God, on infinite extension and thought, on the difference and the agreement of these attributes, on the nature of the union of the human soul with the body, as well as concerning the principles of the Cartesian and Baconian philosophies."

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  • The foundation of the system is the doctrine of one infinite substance, of which all finite existences are modes or limitations (modes of thought or modes of extension).

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  • We have seen that the simple infinite continued fraction converges.

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  • Achilles, on the supposition that his speed is ten times that of the tortoise, must traverse an infinite number of spaces - 1000 ft., loo ft., to ft., &c. - and the tortoise must traverse an infinite number of spaces - loo ft., to ft., I ft., &c. - before they reach the point, distant from their starting-points III I y ft.

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  • Note that all these sets have a countably infinite number of members.

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  • Consider the language obtained from 1 K = by adding a denumerably infinite stock of new individual constants c 0, c 1, .

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  • The question is if G-d's knowledge is infinite, how can something infinite be placed in something finite, the written torah.

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  • It is beyond finite minds to understand the infinite.

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  • But then this was a fellow of " excellent fancy " as well as " infinite jest.

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  • Dwelling in a womb of blood and brimstone, my days became malleable, my nights infinite.

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  • The research will focus on the analysis of infinite dimensional Hamiltonian systems in continuum mechanics.

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  • And be brought by thine infinite mercy To thy holy presence.

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  • In general some of the bands may collapse into points, which represent eigenvalues of infinite multiplicity of the operator under consideration.

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  • Current astronomical observations can't really tell us whether the world really did have an infinite past or just a finite one.

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  • Since there is an infinite ordinal, every finite ordinal is a set and the first infinite ordinal ω is a set.

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  • Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed.

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  • Using the equation l p = h. If the momentum of the electrons is zero, then the wavelength they have is infinite.

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  • For those not possessed of infinite patience, the minutes end here.

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  • The immense size of the family will not matter in the infinite perfection of heaven.

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  • He went back to the shop front and stood surveying it in infinite perplexity.

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  • I lay there a long time, sobbing, " What a pity, what an infinite pity!

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  • This implies that the first existence is the infinite plenitude of being, separate by essence from all diversity of existents.

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  • In order to avoid infinite recursions, we must distinguish between the two different types of mappings.

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  • This limit prevents infinite recursion from causing an overflow of the C stack and crashing Python.

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  • Doing this can create a situation where an infinite recursion is created.

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  • Redeemed by the blood of the Lamb; redeemed by the blood of the Lamb; Redeemed through His infinite mercy - His child, and forever, I am.

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  • And avoid the potential infinite regress of symbolic meaning by being fully grounded in the real world.

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  • If from another, then we have an unsatisfactory infinite regress of explanations.

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  • Mutual belief is defined in terms of an infinite regress of nested beliefs.

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  • All are intended for a single purpose - to help you to discover the infinite riches of God's Word for yourself.

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  • For we have seen that in the Infinite there is utter simplicity, there are no parts, therefore no possibility of sharing.

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  • Mystic 8 Ball Ask a question of this foretelling spheroid and it will dispense its infinite wisdom in reply.

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  • An approximation is proposed by truncating an infinite summation.

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  • The system allowed for the infinite adjustment of the engine's valve timing, which maximized low-end torque as well as top end power.

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  • Thus the infinite totality is not completely absent from a given stratum.

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  • Throughout, agents may have infinite sorts but not unbounded parallelism.

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