Jennie was the logical choice.
It must be distressing, trying to make logical plans about your future.
I couldn't think of a logical way to advise Detective Jackson.
You can rest up here at Bird Song—give yourself time enough to make logical decisions.
There was no other logical scenario.
Seems logical enough, Kelli answered.
I was the logical choice and frankly they were lazy.
That was when the logical part of her brain jerked her back to reality.
That was when the logical part of her brain jerked her back to reality.
Her mind isn't more logical than the minds of ordinary children.
He admits in the sacred writings as in the classics only one acceptation, and that the grammatical, convertible into and the same with the logical and historical.
He admits in the sacred writings as in the classics only one acceptation, and that the grammatical, convertible into and the same with the logical and historical.
The logical thing to do was leave, but she had a good job and she wasn't sure there was anything untoward going on.
Glancing down at herself, she decided there was only one logical place for her to start.
When he replayed his dictated first draft, the report seemed dry but the evidence produced an overwhelming endorsement that there was no logical reason why Jeffrey Byrne might skip.
Nevertheless, there is a charm of originality about his earlier logical work which no competent reader can fail to appreciate.
The logical suspect was the person who possessed the most reason to see Jerome Shipton dead.
The logical side of her mind had accepted the fact that he couldn't give her a child, but the emotional side still rebelled.
"If I fail, mating into his family is the next logical step," the first man said.
The logical side of her understood that Darkyn's offer of fixing her was a better option than dying on the operating table.
The logical side of her understood that Darkyn's offer of fixing her was a better option than dying on the operating table.
One logical candidate was the offspring of Edith Plotke and Josh Mulligan: someone forty years old, perhaps a red head.
She clutched his wrists, the logical side of her brain preparing to remove his hands from her face, the emotional side wishing he would repeat the kiss.
She felt herself relaxing at his even tone and the words that seemed logical enough.
Every time something starts to make sense, up pops ten other perfectly logical answers that make a lot more sense.
Seeking mental help was a logical decision and I think it's working out well.
He did not even remember how formerly, on the strength of similar wretched logical arguments, it had seemed obvious that he would be degrading himself if he now, after the lessons he had had in life, allowed himself to believe in the possibility of being useful and in the possibility of happiness or love.
Had Speranski sprung from the same class as himself and possessed the same breeding and traditions, Bolkonski would soon have discovered his weak, human, unheroic sides; but as it was, Speranski's strange and logical turn of mind inspired him with respect all the more because he did not quite understand him.
I was the logical candidate as both women had children needing attention.
But as yet he had only glimpses of a logical method which should invigorate the syllogism by the co-operation of ancient geometry and modern algebra.
But Aurelius was an eager patriot and a man of logical mind.
It didn't appear Shipton had a relationship of any kind with Janet nor did she seem to have any logical reason to try and kill him.
Pushing this to its logical extreme: What if everything you did was digitally remembered?
It is necessary to notice, however, that although the general course of the stream of life is certain, there is not the same certainty as to the actual individual pedigrees of the existing forms. In the attempts to place existing creatures in approximately phylogenetic order, a striking change, due to a more logical consideration of the process of evolution, has become established and is already resolving many of the earlier difficulties and banishing from the more recent tables the numerous hypothetical intermediate forms so familiar in the older phylogenetic trees.
The logical answer is a child—Donnie or Martha, picking it up out of curiosity.
"The law of the State is binding law," was the principle which Samuel enunciated, here carrying to its logical outcome the admonition of Jeremiah.
Still more original and remarkable, however, was that part of his system, fully stated in his Laws of Thought, which formed a general symbolic method of logical inference.
The fact - assumed without any attempt at justification by argument - that, in spite of the multitude of logical reasons for scepticism, we do know, truth and beauty, makes Balfour a theist.
All these authorities had now legally established Roman Catholicism as the national faith, and Cranmer had no logical ground on which to resist.
I do believe some ideals are worth fighting for and, by logical extension, worth killing for—but not many.
Is there a logical end to that—a physical or economic law of some kind that says only 10 percent or 20 percent or 30 percent of people can ever be this wealthy?
The method is simply the logical result of the fact that every existing form of life stands at the summit of a long branch of the whole tree of life.
Green, his logical tenets are described in 16.886, 888 and 917.
The boy is smart enough to see what Shipton was doing to his mother and he's the most logical one to have taken the knife in the first place.
The logical form of the argument makes it especially valuable in public speaking, before uncritical audiences.
All Moscow repeated Prince Dolgorukov's saying: "If you go on modeling and modeling you must get smeared with clay," suggesting consolation for our defeat by the memory of former victories; and the words of Rostopchin, that French soldiers have to be incited to battle by highfalutin words, and Germans by logical arguments to show them that it is more dangerous to run away than to advance, but that Russian soldiers only need to be restrained and held back!
This may not be logical, but long usage has made it permissible or even necessary.
1866), which, for precision of statement and logical coherence, is the most important of his works.
A second type of hedonism - less ignoble, but perhaps also less logical - calls men to seek the happiness of others.
We may religion regard his ambitious programme as the last logical development of idealism and indeed of philosophy itself.
Whatever may have been Hegel's own belief in regard to personal immortality, the logical issue of his absolute idealism has been well stated by W.
A whole series of sensible and logical considerations showing it to be essential for him to go to Petersburg, and even to re-enter the service, kept springing up in his mind.
There was no answer to any of these questions, except one, and that not a logical answer and not at all a reply to them.
In this use the term loses, of course, its morphoI logical value, and it is better to call such a segment of a broken-up I stele a meristele, the whole solenostele with overlapping leaf-gaps being called a dictyostele.
logical, political and commercial development of the subject runs the determining control exercised by crust forms acting directly or indirectly on mobile distributions; and this is the essential principle of geography.
His keenly logical intellect, and his impatience of authority where it clashed with his own convictions, quite unfitted him for that unquestioning obedience which the Church demanded.
And this was not the result of logical reasoning but was a direct and mysterious reflection.
The problems of geography had been lightened by the destructive criticism of the French cartographer D'Anville (who had purged the map of the world of the last remnants of traditional fact unverified by modern observations) and rendered richer by the dawn of the new era of scientific travel, when Kant brought his logical powers to bear upon them.
Naturally he felt that the prevalence of Christianity was incompatible with his ideal of Roman prosperity, and therefore that the policy of the Flavian emperors was the only logical solution of an important problem.
3 The treatise of Varenius is a model of logical arrangement and terse expression; it is a work of science and of genius; one of the few of that age which can still be studied with profit.
Natasha was so used to this kind of talk with her husband that for her it was the surest sign of something being wrong between them if Pierre followed a line of logical reasoning.
It was natural, if not strictly logical, that the ocean river should be extended from a narrow stream to a world-embracing sea, and here again Greek theory, or rather fancy, gave its modern name to the greatest feature of the globe.
Ranulf Flambard, working together the detached feudal usages of earlier times into a compact and logical system of feudal law, was as characteristic a type of the people as any warrior in the Conqueror's following.
There remains but one logical way, namely, to distinguish as follows: - (i) Passeres anisomyodi, in which the syrinx muscles are unequally inserted, either on the middle or on one end of the semi-rings, either dorsal or ventral.
It was all too logical.
This individualism he and his followers carried to its logical conclusion.
Condillac's sensationalism - Locke's philosophy purged of its more ideal if less logical elements - leading on to materialism in J.
The speech of prophecy is poetical and rhetorical, not strictly defined and logical like that of a modern essayist.
When, however, he had succeeded in extracting from the sources a general idea that seemed to him clear and simple, he attached himself to it as if to the truth itself, employing dialectic of the most penetrating, subtle and even paradoxical character in his deduction of the logical consequences.
External research constantly justifies the cautious attitude which has its logical basis in the internal conflicting character of the written traditions or in their divergence from ascertained facts; at the same time it has clearly shown that the internal study of the Old Testament has its limits.
In logical language, he denies the actuality of the abstract particular.
Further, Reid is inclined to state his principles dogmatically rather than as logical deductions.
The logical conclusion appears to be that the Charrette poem is a "Tendenz-Schrift," composed under certain special conditions, in response to a special demand.
He possessed at the same time great logical acuteness and the most passionate enthusiasm.
His was, indeed, a typically logical, as opposed to a historical, mind.
The logical and historical methods can, however, seldom be combined without confusion; and it is perhaps fortunate that Bentham devoted his long life to showing how much may be done by pursuing the former method exclusively.
But Buffier does not claim for these truths of "common sense" the absolute certainty which characterizes the knowledge we have of our own existence or the logical deductions we make from our thoughts; they possess merely the highest probability, and the man who rejects them is to be considered a fool, though he is not guilty of a contradiction.
His father's History of India was published in 1818; immediately thereafter, about the age of twelve, John began a thorough study of the scholastic logic, at the same time reading Aristotle's logical treatises in the original.
Both his logical and his metaphysical studies were thus undertaken as the pre-requisites of a practical theory of human development.
Thus, on the logical as well as the dogmatic side, he halts between two opinions.
With grammatical precision, antiquarian learning and critical discernment Origen combines the allegorical method of interpretation - the logical corollary of his conception of the inspiration of the Scriptures.
The logical outcome of this proceeding appeared on the 1st of August, when Napoleon declared that he no longer recognized the existence of the Holy Roman Empire.
in the British Museum; (4) the fragment called Quinta Pars Compendii Theologiae, in the British Museum; (5) the Compendium Studii Theologiae, in the British Museum; (6) the logical fragments, such as the Summulae Dialectices, in the Bodleian, and the glosses upon Aristotle's physics and metaphysics in the library at Amiens.
We cannot do more than refer to Charles for discussions as to how this theory of nature is connected with the metaphysical problems of force and matter, with the logical doctrine of universals, and in general with Bacon's theory of knowledge.
120-129 (a severe criticism of Bacon's logical doctrines); Held, Roger Bacon's praktische Philosophie (Jena, 1881); Karl Pohl, Das Verheiltniss d.
Apart from this, the characteristic of seignorial justice is its independence and its freedom from the central court; though, when we reflect that the central court is a court of seigneurs, this characteristic is seen to be the logical result of the whole system.
The logical result of the union was the Crusade of 1443.
Nor is it worth while to attempt a logical or symmetrical arrangement of the material.
But the logical framework of the process is that which we have set forth.
(453-466), and he arranged the whole in a logical order.
In his Sceptical Chemist (1662) he freely criticized the prevailing scientific views and methods, with the object of showing that true knowledge could only be gained by the logical application of the principles of experiment and deduction.
His manner of thinking is clear, calm and logical, and he has certainly given the most complete exposition of what may be called Christian pantheism.
Eckhart is in truth the first who attempted with perfect freedom and logical consistency to give a speculative basis to religious doctrines.
Now, however, a more logical and scholarly aspect was given to their literature by the writings of Barclay, especially his Apology for the True Christian Divinity published in Latin (1676) and in English (1678), and by the works of Penn, amongst which No Cross No Crown and the Maxims or Fruits of Solitude are the best known.
The motley body of Aryan folk-belief, when subjected to the unifying thought of a speculative brain, was transformed to a selfcontained theory of the universe and a logical dualistic principle.
The proof of the six premisses requires an elaborate investigation into the general properties of classes and relations which can be deduced by the strictest reasoning from our ultimate logical principles.
But on the assumption that "mathematics" is to denote a science well marked out by its subject matter and its methods from other topics of thought, and that at least it is to include all topics habitually assigned to it, there is now no option but to employ "mathematics" in the general sense' of the "science concerned with the logical deduction of consequences from the general premisses of all reasoning."
of classes and relations from the ultimate logical premisses.
But this unbendingly logical point of view cannot be the last word upon the matter.
In this he criticizes the bishops' Report in a sympathetic spirit, but points out how intimately the symbolism of the vestments had become associated with the doctrine of the Sacrifice of the Mass, and how logical was the action of the Reformers in rejecting certain of these vestments.
Conscience is the best of casuists; it is only when men wish to cheat it that they fly to logical quibbles."
Thus it might be argued that there can be no logical combination of elements from Christian ethics, with its divine sanction, and purely intuitional or evolutionary ethical theories, where the sanction is essentially different in quality.
His principal work, Logik, published in 1873, takes an important place among recent contributions to logical theory.
In the preface to the first edition, Sigwart explains that he makes no attempt to appreciate the logical theories of his predecessors; his intention was to construct a theory of logic, complete in itself.
Thus a universal science of matter and motion was derived, by an unbroken sequence of deduction, from one radical principle; and analytical mechanics assumed the clear and complete form of logical perfection which it now wears.
ratio, through French raison), in philosophy, the faculty or process of drawing logical inferences.
It is a logical consequence that Nergal is pictured also as the deity who presides over the nether-world, and stands at the head of the special pantheon assigned to the government of the dead, who are supposed to be gathered in a large subterranean cave known as Aralu or Irkalla.
He was, however, possessed of a logical rather than an intuitive mind.
The name doctor scholasticus was applied originally to any teacher in such an ecclesiastical gymnasium, but gradually the study of dialectic or logic overshadowed the more elementary disciplines, and the general acceptation of " doctor " came to be one who occupied himself with the teaching of logic. The philosophy of the later Scholastics is more extended in its scope; but to the end of the medieval period philosophy centres in the discussion of the same logical problems which began to agitate the teachers of the 9th and 1 oth centuries.
The remark overlooks two facts - firstly that the main objects of theology and philosophy are identical, though the td°f ogyod method of treatment is different, and secondly that logical discussion commonly leads up to metaphysical problems, and that this was pre-eminently the case with the logic of the Schoolmen.
Scholasticism opens with a discussion of certain points in the Aristotelian logic; it speedily begins to apply its logical distinctions to the doctrines of the church; and when it attains its full stature in St Thomas it has, with the exception of certain mysteries, rationalized or Aristotelianized the whole churchly system.
The controversy was between Nominalists and Realists; and, exclusively logical as the point may at first sight seem to be, adherence to one side or the other is an accurate indication of philosophic tendency.
He simply sets the discussion aside as too difficult for a preliminary discourse, and not strictly relevant to a purely logical inquiry.
His treatise De rationali et ratione uti is more interesting as a display of the logical acquirements of the age than as possessing any direct philosophical bearing.
Against the system of non-difference Abelard has a number of logical and traditional arguments to bring, but it is sufficiently condemned by his fundamental doctrine that only the individual exists in its own right.
By the middle of the century, logical studies had lost to a great extent their real interest and application, and had degenerated into trivial displays of ingenuity.
The autobiographical account of these years contained in his Metalogicus is of the utmost value as a picture of the schools of the time; it is also one of the historian's chief sources as a record of the many-coloured logical views of the period.
John recoiled from the idle casuistry which occupied his own logical contemporaries; and, mindful probably of their aimless ingenuity, he adds the caution that dialectic, valuable and necessary as it is, is " like the sword of Hercules in a pigmy's hand " unless there be added to it the accoutrement of the other sciences.
Permission was given to lecture on the logical books, both those which had been known all along and those introduced since 1128, but the veto upon the Physics is extended to the Metaphysics and the summaries of the Arabian commentators.
Even the nature of the universals is no longer discussed from a purely logical or metaphysical point of view, but becomes connected with psychological questions.
He also wrote commentaries on logical and physical works of Aristotle.
The Ars magna of the former professed by means of a species of logical machine to give a rigid demonstration of all the fundamental Christian doctrines, and was intended by its author as an unfailing instrument for the conversion of the Saracens and heathen.
The most valuable of his logical and philosophical memoirs were published collectively in 2 vols.
Logical in its derivatives and in its grammatical structure, the Magyar language is, moreover, copious in idiomatic expressions, rich in its store of words, and almost musical in its harmonious intonation.
While, therefore, the logical development of algebraic reasoning must depend on certain fundamental relations, it is important that in the early study of the subject these relations should be introduced gradually, and not until there is some empirical acquaintance with the phenomena with which they are concerned.
The important thing to notice is that where, in any of these five cases, one statement is followed by another, the second is not to be regarded as obtained from the first by logical reasoning involving such general axioms as that " if equals are taken from equals the remainders are equal "; the fact being that the two statements are merely different ways of expressing the same relation.
Notable service was also rendered by Augustus de Morgan, who applied logical analysis to the laws of mathematics.
We have mentioned Lamarck before his great contemporary Cuvier because, in spite of his valuable philosophical doctrine of development, he was, as compared with Cuvier and estimated as a systematic zoologist, a mere enlargement and logical outcome of Linnaeus.
Various accidental circumstances, however, have brought it about that the actual distribution of scientific work does not correspond with the logical subdivisions of biology.
Whatever power they did secure, whether as potent subsidiary organs of the municipal polity for the regulation of trade, or as the chief or sole medium for the acquisition of citizenship, or as integral parts of the common council, was, generally speaking, the logical sequence of a gradual economic development, and not the outgrowth of a revolutionary movement by which oppressed craftsmen endeavoured to throw off the yoke of an arrogant patrician gild merchant.
The Reformed strengthened itself against the Roman Catholic theology by working itself, on the one hand, into vigorous logical consistency, and supporting itself, on the other, on the supreme authority of the Scriptures.
Arminius died, worn out by uncongenial controversy and ecclesiastical persecution, before his system had been elaborated into the logical consistency it attained in the hands of his celebrated successor, Simon Episcopius; but though inchoate in detail, it was in its principles clear and coherent enough.
What follows is rather a perfection of details in the direction of logical completeness.
Great diversity prevailed everywhere, and we should not be surprised to find some different fact or custom in every lordship. Anglo-Norman feudalism attained a logical completeness and a uniformity of practice which, in the feudal age proper, can hardly be found elsewhere through so large a territory; but in Anglo-Norman feudalism the exception holds perhaps as large a place as the regular, and the uniformity itself was due to the most serious of exceptions from the feudal point of view - centralization under a powerful monarchy.
CuroaaKTLK6s, capable of demonstration), a logical term, applied to judgments which are necessarily true, as of mathematical conclusions.
improvement in the conceptions of logical method was derived from the Positive Philosophy.
logical Of course the first step was to approach the phenomena of human character and social existence with the expectation of finding them as reducible to general laws as the other phenomena of the universe, and with the hope of exploring these laws by the same instruments of observation and verification as had done such triumphant work in the case of the latter.
The one process is a logical operation, the other a physical.
He has, indeed, described in graphic terms the greatest of the more superficial changes he underwent; how he had " carried into logical and ethical problems the maxims and postulates of physical knowledge," and had moved within the narrow lines drawn by the philosophical instructions of the class-room " interpreting human phenomena by the analogy of external nature "; how he served in willing captivity " the ` empirical ' and ` necessarian ' mode of thought," even though " shocked " by the dogmatism and acrid humours " of certain distinguished representatives "; 1 and how in a period of " second education " at Berlin, " mainly under the admirable guidance of Professor Trendelenburg," he experienced " a new intellectual birth" which " was essentially the gift of fresh conceptions, the unsealing of hidden openings of self-consciousness, with unmeasured corridors and sacred halls behind; and, once gained, was more or less available throughout the history of philosophy, and lifted the darkness from the pages of Kant and even Hegel."
And when in 1890 he began to gather together the miscellaneous essays and papers written during a period of sixty years, he expressed the hope that, though " they could lay no claim to logical consistency," they might yet show " beneath the varying complexion of their thought some intelligible moral continuity," " leading in the end to a view of life more coherent and less defective than was presented at the beginning."
To the technical philosophers, who strictly confine themselves to the logical collation and criticism of scientific methods, he has, contrariwise, not seemed philosophic enough.
Ramus's works appear among the logical textbooks of the Scottish universities, and he was not without his followers in England in the 17th century.
between the implicit logic of daily speech and the same logic made explicit in a system, passed over into the logical handbooks.
But there were also a great many things which he did not see, and there was often no logical connexion whatever between his vision and his blindness.
The household is thus at once the logical starting-point of religious cult, and throughout Roman history the centre of its most real and vital activity.
The next stage in the logical development of the state religion should naturally be found in the worship of the gens, the aggregate of households belonging to one clan, Agri- but our information about the gentile worship is so scanty and uncertain 2 that we cannot make practical use of it.
Illingworth has said very concisely: " The physical speculations of the Ionians and Atomists rendered a God superfluous, and the metaphysical and logical reasoning of the Eleatics declared Him to be unknowable."
It is the first example in Italian literature of a national biography, the first attempt in any literature to trace the vicissitudes of a people's life in their logical sequence, deducing each successive phase from passions or necessities inherent in preceding circumstances, reasoning upon them from general principles, and inferring corollaries for the conduct of the future.
These seem to have been altogether devoted to expositions of a certain logical system which Bruno had taken up with great eagerness, the Ars Magna of Raimon Lull.
Several works, chiefly logical, appeared during his stay at Wittenberg (De Lampade combinatoria Lulliana, 1587, and De Progressu et Lampade venatoria logicorum, 1587).
The pivot of this part is the logical principle of contradiction.
No attempt will be made to follow the historic order of development, but the present theory will be set out in its most logical form and order.
His logical mind and determined support of the autocratic principle gained the tsar's entire confidence.
SeaXEKTOS, discourse, debate; 77 5eaXEKTu01, sc. TEXvn, the art of debate), a logical term, generally used in common parlance in a contemptuous sense for verbal or purely abstract disputation devoid of practical value.
He was examiner in logical and moral philosophy (1857-1862 and 1864-1869) to the university of London, and in moral science in the Indian Civil Service examinations.
But Marsiglio's logical and elaborate justification for a revolt against the medieval Church produced no perceptible effects.
His account of the process of knowledge in his logical treatises exhibits the idealistic bent in its clearest form.
Yet besides the particular contribution that Aristotle made to idealistic philosophy in his logical and ethical interpretations, he advanced the case in two directions.
More particularly by the confusion in which he left the relation between the two logical principles of identity and of sufficient reason underlying respectively analytic and synthetic, deductive and inductive thought, he may be said to have undermined in another way the idealism he strove to establish.
As little is idealism responsible for any attempt to pass off logical abstractions for concrete reality.
Similarly it only carried the doctrine of relativity to its logical conclusion in denying that there could be any absolute relativity.
Similarly from the side of logic. It is not the teaching of idealism alone but of the facts which logical analysis has brought home to us that all difference in the last resort finds its ground in the quality or content of the things differentiated, and that this difference of content shows in turn a double strand, the strand of sameness and the strand of otherness - that in which and that by which they differ from one another.
He perceived that to coil many turns of thin wire round an inner barrel was a logical extension of the large hooped method already mentioned, and in conjunction with I.
The swellings on the palmar faces of the phalanges of the several fingers are also indicative, the 1st and and of the thumb respectively, of the logical faculty and of the will; the 1st, and and 3rd of the index finger, of materialism, law and order, idealism; those of the middle finger, humanity, system, intelligence; of the ring finger, truth, economy, energy; and of the little finger, goodness, prudence, reflectiveness.
In 1881 he prepared A Primer of Logical Analysis for students of English composition.
The polyphony of Beethoven was unquestionably influenced by it and, even in his latest sonatas and quartets, may be regarded as its logical outcome.
He is keen, positive, logical, combining with curious dashes of scepticism many genuine moral convictions and a good knowledge of the various national religions and mythologies whose relative value he is able to appreciate.
Among the clearest and most logical exponents of this theory was Hobbes, who in his Leviathan expounded his notion of an agreement by which absolute power was irrevocably transferred to the ruler.
The first and fundamental characteristic of Ultramontanism is its championship of a logical carrying out of the so-called " papalistic system," the concentration, that is, of all ecclesiastical power in the person of the Roman bishop. This.
In logical sequence to these tenets it seeks to divorce the school from the state - a proceeding which it terms educational freedom, though the underlying motive is to subordinate the school to the Church.
As a judge, whether in the Supreme Court or in the House of Lords, he displayed high qualities: he was patient, courteous, logical and learned, and his judgments contain many valuable expositions of the principles of law.
Metaphysics, again, is concerned with the ultimate problems of matter and spirit; it endeavours to go behind the phenomena of sense and focus its attention on the fundamental truths which are the only logical bases of natural science.
The logical consequence of this was that the territorial nobles claimed the right of appointing clergy, and the enjoyment of the revenues of these churches derived from the land (tithes).
These represent a theory of the Church practically unknown to the Reformers, and only reached through the necessity for discovering a logical basis for the communities of conscientious dissidents from the established churches.
It must be borne in mind that primitive humanity is not governed by logical distinctions.
" Our policy," said Dr. Benes in 1921, " is a policy of peace: in domestic affairs our programme is the logical sequel to our foreign policy, namely, social and racial order and justice, and unremitting effort on behalf of social and political democracy.
Holbach exposed the logical consequences of the theories of the Encyclopaedists.
He is a link between the ancient world and the middle ages, having been the last of the learned Romans who understood the language and studied the literature of Greece, and the first to interpret to the middle ages the logical treatises of Aristotle.
It had its logical end in the system adopted in 1881 and known as the rattachement.
First, it stands in the line of post-Aristotelian systems; it is, in fact, as a subjective philosophy, their logical completion.
For every philosophy is scholastic whose subject-matter is imaginative and mystical, and which handles this subject-matter according to established rules in logical categories and distinctions.
The Heidelberg and Westminster Catechisms are of a more logical and independent character.
As early as 1862 Gaudry set forth this very polyphyletic principle in his tabular phylogenies, but failed to carry it to its logical application.
They exist not merely as logical consequence or development of the absolute, but have a stubbornness of being in them, an antagonistic feature which in all times philosophers have been driven to recognize, and which they have described in varied fashion.
Gallicanism had two distinct sides, a constitutional and a dogmatic, though both were generally held together, the second serving as the logical basis of the first.
Paschasius shrank from the logical outcome of his view, namely, that Christ's body or part of it is turned into human excrement, but Ratramnus, another monk of Corbey, in a book afterwards ascribed to Duns Scotus, drew this inference in order to discredit his antagonists, and not because he believed it himself.
He was elected to the Quebec legislature in 1871, and his first speech in the provincial assembly excited great interest, on account of its literary qualities and the attractive manner and logical method of the speaker.
The logical conclusion is that Aristotle began writing it as early as 357, and continued writing it in 346, in 336, and so on till he died.
He left others imperfectly arranged, and some of the most important, the Metaphysics, the Politics and the logical writings.
Of the imperfect arrangement of the Metaphysics we have already spoken; and we shall speak of that of his logical writings when we come to the order of his whole system.
The incomplete state in which Aristotle left the Metaphysics, the Politics and his logical works, brings us to the hard question how much he did, and how much his Peripatetic followers did to his writings after his death.
Although, however, we may concede that such great works as the Metaphysics, the Politics and the logical writings did not receive their present form from Aristotle himself, that concession does not deprive Aristotle of the authorship, but only of the arrangement of those works.
On the contrary, Theophrastus and Eudemus, his immediate followers, both wrote works presupposing Aristotle's Metaphysics and his logical works, and Dicaearchus, their contemporary, used his Politics for his own Tripoliticus.
Both works arrive at it from the classification of categories, which is the same in both; except that in the former the categories are treated rather as a logical classification of names signifying things, in the latter rather as a metaphysical classification of things.
The only logical conclusion is that the Categories, being nearer to Plato on the nature of attributes, and still nearer on the relation of universals to substances, is earlier than the Metaphysics.
But in spite of this great logical achievement, he continued throughout the discourse to accept Plato's grammatical analysis of all sentences into noun and verb, which indeed applies to the proposition as a sentence but does not give its particular elements.
Nor does the work get further than the analysis of some propositions into noun and verb with " is " added to the predicated verb; an analysis, however, which was a great logical discovery and led Aristotle further to the remark that " is " does not mean " exists "; e.g.
How then did Aristotle get further in the logical analysis of the proposition?
Here, for the first time in logical literature, subject and predicate suddenly appear as terms, or extremes, with the verb of being (r6 e bat) or not being (re) 1.6 that) completely disengaged from both, but connecting them as a copula.
As then we find this identification of pleasure with activity in the Metaphysics and in the De Anima, as well as in the Nicomachean Ethics, the Eudemian Ethics and the Magna Moralia, the only logical conclusion, from which there is no escape, is that, so far as the treatment of pleasure goes, any Aristotelian treatise which defines it as activity is genuine.
In fact, this interesting treatise contains a rudimentary treatment of rational evidences in rhetoric and is therefore earlier than the Rhetoric, which exhibits a developed analysis of these rational evidences as special logical forms. Together, the earlier and the later Rhetoric show us the logic of rhetoric in the making, going on about 34 0, the last date of the Rhetoric to Alexander, and more developed in or after 336 B.C., the last date of the Rhetoric. Nor is this all: the earlier Rhetoric to Alexander and the later Rhetoric show us logic itself in the making.
The logical treatises.
Moreover, the arrangement sometimes breaks down: for example, though on the whole the logical books are quoted without quoting the rest, the De Interpretatione (chap. 1) quotes the De Anima, and therefore is falsely taken by Zeller against its own internal evidence to be subsequent to it and consequently to the other logical books.
He means that the logical analysis of demonstration in the Analytics would teach them beforehand that there cannot be demonstration, though there must be induction, of an axiom, or any other principle; whereas, if they are not logically prepared for metaphysics, they will expect a demonstration of the axiom, as Heraclitus, the Heraclitean Cratylus and the Sophist Protagoras actually did, - and in vain.
The traditional order of the Aristotelian writings, still continued in the Berlin edition, beginning with the logical writings on page 1, proceeding to the physical writings on page 184, and postponing the Metaphysics to page 980, is not the real order of Aristotle's philosophy.
Such is Aristotle's psychological and logical realism, contained in the De Anima and logical treatises.
Rhetoric is a faculty on any subject of investigating what may be persuasive (acOavov), which is the work of no other art; its means are artificial and inartificial evidences (7riorecs), and, among artificial evidences, especially the logical arguments of example and enthymeme.
Intelligence is not active intellect propagating universal essence in passive intellect, but only logical inference starting from sense, and both requiring nervous body and conscious soul.
Zabarella to the Arabians, and himself gifted with great logical powers, always deserves study in his editions of the Organon and the Physics, and in his Doctrinae Peripateticae.
Grote indeed intended to write a general account of Aristotle like that of Plato; but his Aristotle went little further than the logical writings.
Paradoxical as it may seem, it is the logical conclusion of such comparisons that militarism only exists in countries where there are no citizen armies, and that, where there are citizen armies, they are one of the elements which make for permanent peace.
But at first this logical conclusion was not drawn.
As to the known world, Kant's position was the logical deduction that from such phenomena of experience all we can know by logical reason is similar phenomena of actual or possible experience; and therefore that the known world, whether bodily or mental, is not a Cartesian world of bodies and souls, nor a Spinozistic world of one substance, nor a Leibnitzian world of monadic substances [[[Metaphysical Idealism]] created by God, but a world of sensations, such as Hume supposed, only combined, not by association, but by synthetic understanding into phenomenal objects of experience, which are phenomenal substances and causes - a world of phenomena not noumena.
c. As to existence, Kant's position is the wholly illogical one that, though all known things are phenomena, there are things in themselves, or noumena; things which are said to cause sensations of outer sense and to receive sensations of inner sense, though they are beyond the category of causality which is defined as one of the notions uniting phenomena; and things which are assumed to exist and have these causal attributes, though declared unknowable by any logical use of reason, because logical reason is limited by the mental matter and form of experience to phenomena; and all this according to Kant himself.
Kant first deduced that from the experience of mental phenomena all logical use of reason is limited to mental phenomena, and then maintained that to explain moral responsibility practical reason postulates the existence of real noumena.
But what is a postulate of practical reason to explain moral responsibility except a logical use of reason ?
He forgot that he had also limited all logical use of reason, and therefore of practical reason, to phenomena, and thereby undermined the rationality not only of knowledge, but also of faith.
He rightly objected that the system was wanting in logical proof.
He rightly contended that, if we are to know anything beyond sense, we must know it by a process of logical reason.
But, unfortunately, he did not mean the logical inferences described in the Organon and the Novum organum.
(a) He identifies matter with mind by identifying atomic force with the striving of unconscious will after objects conceived by unconscious intelligence, and by defining causality as logical necessity receiving actuality through will.
It is most important also to notice that Kantism denies, but science asserts, the logical power of reason to infer actual things beyond experience.
But his ardent love of consistency led him far away from Kant in the end; for he proceeded consistently from the assumption, that whatever we think beyond mental phenomena is ideal, to the logical conclusion that in practical matters our moral responsibility cannot prove the reality of a noumenal freedom, because, as on Kant's assumption we know ourselves from inner sense only as phenomena, we can prove only our phenomenal freedom.
Its essence, as stated by Kant, was to reduce the logical use of reason to mental phenomena of experience in speculation, in order to extend the practical use of reason to the real noumena, or things in themselves, required for morality.
Its consistency, as deduced by Lange, was to reduce all use of reason, speculative and practical, to its logical use of proceeding from the assumed mental data of outer and inner sense, arranged a priori, to mental phenomena of experience, beyond which we can conceive ideas but postulate nothing.
For what does it matter to metaphysics whether by association sensations suggest ideas, and so give rise to ideas of substance and causation a posteriori, or synthetic unity of consciousness combines sensations by a priori notions of substance and causation into objects which are merely mental phenomena of experience, when it is at once allowed by the followers of Hume and Kant alike that reason in any logical use has no power of inferring things beyond the experience of the reasoner?
Between Hume's a posteriori and Kant's a priori hypothesis he proposes a logical theory of the origin of notions beyond experience.
He explains that the arrangement of facts requires " general supplementary notions' (Hiilfsbegrife), which are not contained in experience itself, but are gained by a process of logical treatment of this experience."
Not, says Wundt, by association, as Hume said, but by thinking; not, however, by a priori thinking, as Kant said, but by logical thinking, by applying the logical principle of ground and consequent (which Leibnitz had called the principle of sufficient reason) as a causal law to empirical appearances.
Now, Wundt is aware that this is not always possible, for he holds that the logical principle of ground belongs generally to the connexion of thoughts, the causal law to the combination of empirical appearances.
Nevertheless he believes that, when we can apply measures to the combination of empirical appearances, then we can apply the logical principle as causal law to this combination, and say that one appearance is the cause of another, thus adding a notion of causality not contained in the actual observations, but specializing the general notion of causality.
But Newton had already discovered beforehand in the mechanics of terrestrial bodies that gravitation constantly causes similar facts on the earth, and did not derive that cause from any logical ground beyond experience, any more than he did the third law of motion.
Otherwise, logical ground remains logical ground, as in any noncausal syllogism, such as the familiar one from " All men are mortal," which causes me to know that I shall die, without telling me the cause of death.
Wundt, however, having satisfied himself of the power of mere logical thought beyond experience, goes on to further apply his hypothesis, and supposes that, in dealing with the physical world, logical thinking having added to experience the " supplementary notion " of causality as the connexion of appearances which vary together, adds also the " supplementary notion " of substance as substratum of the connected appearances.
Thirdly, on the grounds that logical thinking adds the notion of substance, as substrate, to experience of the physical, but not of the psychical, and that the most proper being of mind is will, he concludes that wills are not active substances, but substance-generating activities (" nicht thatige Substanzen sondern substanzerzeugende Thdtigkeiten," System, 429) What kind of metaphysics, then, follows from this compound of psychology and epistemology?
As with Kant against Hume, so with Wundt against Mach and Avenarius, the world we know will contain something more than mere complexes of sensations, more than pure experience: with Wundt it will be a world of real causes and some substances, constituted partly by experience and partly by logical thinking, or active inner will.
Hence, according to Wundt, the world we know is still unitary experience, distinguished, not separated, into subject and object, aggregates of ideas analysed by judgment and combined by inference, an object of idea elaborated into causes and substances by logical thinking, at most a world of our ideas composed out of our sensations, and arranged under our categories of our understanding by our inner wills, or a world of our ideating wills; but nothing else.
Reason, according to Wundt, is like pure reason according to Kant; except that Wundt, receiving Kantism through NeoKantism, thinks that reason arrives at " ideals " not a priori, but by the logical process of ground and consequent, and, having abolished the thing in itself, will not follow Kant in his inconsequent passage from pure to practical reason in order to postulate a reality corresponding to " ideals " beyond experience.
Two psychological errors, among many others, constantly meet us in the history of idealism - the arbitrary hypothesis of a sense of sensations, or of ideas, and the intolerable neglect of logical inference.
Logical inference from sense is a process from sensible to insensible existence.
His deduction is logical; but he has forgotten to prove the assumption, and now confuses sensory operation with sensible object.
Finally, as touch perceives reciprocal pressure within, and tactile inference infers it without, touch is the primary evidence of the senses which is the foundation and logical ground of our belief in Nature as a system of pressing bodies.
Impressive in matter rather than in manner of delivery, and seldom rising to the level of eloquence in the sense in which that quality was understood in a House which had listened to Bright and Gladstone, his speeches were logical and convincing, and their attractive literary form delighted a wider audience than that which listens to the mere politician.
Of the value of the logical writings of Ammonius there are various opinions.
It must not, however, be forgotten that, in the negotiations at Sutri, Paschal had pride and independence enough to propose to the emperor the only solution of the conflict that was entirely logical and essentially Christian, namely, the renunciation by the Church of its temporal power and the renunciation by the lay lords of all intervention in elections and investitures - in other words, the absolute separation of the priesthood and the state.
Failing in his attempt to maintain the religious character of the crusade, he wished to prevent it from ending secularly in its extreme consequence and logical outcome.
To logical but timid minds, like that of J.
Such general statements of the theory of motion as that of Lagrange, while releasing us from the rather narrow and strained view of the subject presented by detailed analysis of motion in terms of force, have also suggested a search for other forms which a statement of elementary principles might equally take as the foundation of a logical scheme.
The fundamental principle of thought is, according to him, the law of identity; logical thinking is real thinking.
The last period of Lessing's life was devoted chiefly to theo logical controversy.
107.) The course of Hume's work follows immediately from his fundamental principle, and the several divisions of the treatise, so far as the theoretical portions are concerned, are but its logical consequences.
It is apparent, even from the brief summary just given, that the importance of Hume in the history of philosophy consists in the vigour and logical exactness with which he develops a particular metaphysical view.
In Hume's theory of knowledge we have the final expression of what may be called psychological individualism or atomism, while his ethics and doctrine of religion are but the logical consequences of this theory.
Early writers on natural history used the term in its vague logical sense without limiting it to a special category in the hierarchy of classification.
He was singularly fitted for intellectual debate, but his devotional tendency was equally strong with his logical aptitude.
1 At the same time he desired to admit the Roman Catholic gentry of property to membership of the House of Commons, a proposal that was the logical corollary of the Relief Act of 1792.
He tells how, when he had slowly taken in the doctrine of logical figures and moods, he put it aside and would prove things only in his own way; how he then heard about bodies as consisting of matter and form, as throwing off species of themselves for perception, and as moved by sympathies and antipathies, with much else of a like sort, all beyond his comprehension; and how he therefore turned to his old books again, fed his mind on maps and charts of earth and sky, traced the sun in his path, followed Drake and Cavendish girdling the main, and gazed with delight upon pictured haunts of men and wonders of unknown lands.
His scheme was first to work out, in a separate treatise De corpore, a systematic doctrine of Body, showing how physical phenomena were universally explicable in terms of motion, as motion or mechanical action was then (through Galileo and others) understood - the theory of motion being applied in the light of mathematical science, after quantity, the subject-matter of mathematics, had been duly considered in its place among the fundamental conceptions of philosophy, and a clear indication had been given, at first starting, of the logical ground and method of all philosophical inquiry.
It is, however, only as a basis of facts and principles for his theory of life that logical and physical inquiries find a place at all.
His chief aim in writing was plainness and intelligibility, but his want of order and logical precision thwarted his purpose.
His doctrines were developed in his edition of Aldrich's Artis logicae rudiments (1849) - his chief contribution to the reviving study of Aristotle - and in his Prolegomena logica: an Inquiry into the Psychological Character of Logical Processes (1851, 2nd ed.
His mental qualities were - a quick analytic perception, strong logical powers, a tenacious memory, a liberal estimate and tolerance of the opinions of others, ready intuition of human nature; and perhaps his most valuable faculty was rare ability to divest himself of all feeling or passion in weighing motives of persons or problems of state.
The acquisition of German colonies was really the logical and almost necessary sequel of a protective policy.
Like Schleiermacher he combined with the keenest logical faculty an intensely religious spirit, while his philosophical tendencies were in sympathy rather with Hegel than with Schleiermacher, and theosophic mysticism was more congenial to him than the abstractions of Spinoza, to whom Schleiermacher owed so much.
His system, though it may seem to contain doubtful or even fantastic elements, is in its general outlines a noble massive whole, constructed by a profound, comprehensive, fearless and logical mind.
His intellect was logical in the highest degree; he was clear and precise, an enemy of loose reasoning, and quick to refute prevailing fallacies.
So logical and uncompromising a thinker as Godwin could not go far in the discussion of abstract questions without exciting the most lively opposition in matters of detailed opinion.
1 The logical consistency with which the principle of Dualism was carried out is shown in a change of title.
The name of Re, the sun-god, was generally joined to Ammon, especially in his title as " king of the gods ": the rule of heaven belonged to the sun-god in the Egyptian cosmos, and this identification with Re was only logical for a supreme deity.
Mahomet's mission was Rot to Europeans, but to a people who, though quick-witted and receptive, were not accustomed to logical thinking, while they had outgrown their ancient religion.
There seems to be no logical aim in this arrangement of the alphabetic characters and the series is incomplete.
The order of the Perpetual Edict, which appears to have been taken as a sort of model for the general scheme of books and titles, was doubtless convenient to the Roman lawyers from their familiarity with it, but was in itself rather accidental and historical than logical.
These, however, may be conveniently classified under four main heads - psychological, logical, ethical and religious - and the history of the subject shows that all these have contributed to the development of pragmatism.
In its logical aspect pragmatism originates in a criticism of fundamental conceptions like "truth," "error," "fact" 2 The New English Dictionary quotes for nine distinct senses of the word, of which the philosophic is the eighth.
Logical analysis, after assuming that truth is independent and not of our making, has to confess that all logical operations involve an apparently arbitrary interference with their data (Bradley).
If however the logical method of pragmatism is critically applied to all the sciences, many doctrines will be cut out which have little or no "pragmatic value."
The application to logic, therefore, was mainly made by his followers, John Dewey and his pupils, in the Chicago Decennial Publications and especially in their Studies in Logical Theory (1903), where, however, the term used is "instrumentalism," and by F.
All these logical and philosophic developments were popularly expounded by James in his Pragmatism (1907), followed by A Pluralistic Universe (1908) and The Meaning of Truth (1909).
Alfred Sidgwick's logical writings, especially his Distinction (1892) and The Use of Words in Argument (1901), represent an independent development.
Yet to Alexander himself it seemed the only means of placing the "confederation of Europe " on a firm basis of principle and, so far from its being directed against liberty he declared roundly to all the signatory powers that " free constitutions were the logical outcome of its doctrines."
The logical consequence of this view is that the plebs as an order in the state is of considerably later growth than the beginning of the city, the patricians being originally the only freemen and the only citizens.
If pushed to its logical conclusion the view of Paulsen must, it is submitted, lead to the complete abandonment at examinations of tests of " knowledge " as distinguished from direct tests of capacity.
The school system was reorganized by new regulations, in accordance with which Hegel wrote a series of lessons in the outlines of philosophy - ethical, logical and psychological.
For this reason the book is at once the most brilliant and the most difficult of Hegel's works - the most brilliant because it is to some degree an autobiography of Hegel's mind - not the abstract record of a logical evolution, but the real history of an intellectual growth; the most difficult because, instead of treating the rise of intelligence (from its first appearance in contrast with the real world to its final recognition of its presence in, and rule over, all things) as a purely subjective process, it exhibits this rise as wrought out in historical epochs, national characteristics, forms of culture and faith, and philosophical systems. The theme is identical with the introduction to the Encyklopddie; but it is treated in a very different style.
The claims of the individual, the real, material and historical fact, it was said, had been sacrificed by Hegel to the universal, the ideal, the spiritual and the logical.
God reveals Himself in the logical idea, in nature and in mind; but mind is not alike conscious of its absoluteness in every stage of development.
They denied the theological value of the logical forms - the development of these forms being in their opinion due to the human thinker, not to a selfrevealing absolute.
But with this modification on the system another necessarily followed; a mere logical series could not create nature.
The logical idea is treated under the three heads of being (Seyn), essence (Wesen) and notion (Begriff).
In some cases these transitions may be unsatisfactory and forced; it is apparent that the linear development from " being " to the " idea " is got by transforming into a logical order the sequence that has roughly prevailed in philosophy from the Eleatics; cases might be quoted where the reasoning seems a play upon words; and it may often be doubted whether certain ideas do not involve extra-logical considerations.
The Philosophy of Nature starts with the result of the logical development, with the full scientific " idea."
To metamorphosis he only allowed a logical value, as explaining the natural classification; the only real, existent metamorphosis he saw in the development of the individual from its embryonic stage.
A graver mistake, according to some critics, is that Hegel, far from giving a law of progress, seems to suggest that the history of the world is nearing an end, and has merely reduced the past to a logical formula.
They made no attempt at theological definition, no pretence at logical arrangement; they were anything but a brief programme of reformation.
A great part of his writings, particularly on jurisprudence and astronomy, as well as essays on special logical subjects, prolegomena to philosophy, criticisms on Avicenna and Alfarabius (Farabi),remain in manuscript in the Escorial and other libraries.
1, 1), swordsmanship, and forensic argumentation, implies that they came to eristic not from the sophistry of Socrates, but from that of the later humanists, polymaths of the type of Hippias; (2) that the fifth and sixth definitions of the Sophist, in which " that branch of eristic which brings pecuniary gain to the practitioner " is opposed to the " patience-trying, purgative elenchus " of Socrates, indicate that contemporary with Socrates there were eristics whose aims were not his; (3) that, whereas the sophist of the final definition " disputes, and teaches others to dispute, about things divine, cosmical, metaphysical, legal, political, technical, in fact, about all things," we have no ground for supposing that the Megarians and the Cynics used their eristic for any purpose except the defence of their logical heresies.
Trans., 1 75 8, p. 733) without being impressed with the fact that it is a truthful account, not only of the successive steps by which he independently arrived at his discovery, but also of the logical processes by which these steps were successively suggested to his mind.
- Clarke, though in no way an original thinker, was eminent in theology, mathematics, metaphysics and philology, but his chief strength lay in his logical power.
When the Abbasids had occupied the throne, they pursued this policy to its logical conclusion.
As a speaker, he was clear, logical and impressive, and on select committees his common sense was most valuable.
The freedom of his speculation, and the boldness with which he works out his logical or dialectical system of the universe, altogether prevent us from classing him along with the scholastics properly so called.
Life, again, is a species of essence, wisdom a species of life, and so on, always descending from genus to species in a rigorous logical fashion.
On the other hand, the demonstrations of mathematical sciences of his time, and the logical forms of deduction evinced in Plato's dialogues, provided him with admirable examples of deduction, which is also the inference most capable of analysis.
This analysis, regarded as a whole and as it is applied in the Analytics and in the other logical treatises, was evidently intended as a linguistic analysis.
Rhetoricians had enumerated various means of persuasion, some of which are logical forms, e.g.
In the Analytics he took the final step of originating the logical analysis of the proposition as premise into subject and predicate as terms mediated by the copula, and analysed the syllogism into these elements.
Thus did he become the founder of the logical but linguistic analysis of reasoning as discourse (o w into propositions and terms. Nevertheless, the deeper question remained, what is the logical but mental analysis of reasoning itself (6 g o-co Xoyos) into its mental premises and conclusion?
But the same passage relegates conceptions and their combinations to the De Anima, and confines the De Inter pretatione to names and propositions in conformity with the linguistic analysis which pervades the logical treatises of Aristotle, who neither brought his psychological distinction between conceptions and their combinations into his logic, nor advanced the combinations of conceptions as a definition of judgment (Kcp16cs), nor employed the mental distinction between conceptions and judgments as an analysis of inference, or reasoning, or syllogism: he was no conceptual logician.
The history of logic shows that the linguistic distinction between terms and propositions was the sole analysis of reasoning in the logical treatises of Aristotle; that the mental distinction between conceptions (g vvocac) and judgments (a uiwara in a wide sense) was imported into logic by the Stoics; and that this mental distinction became the logical analysis of reasoning under the authority of St Thomas Aquinas.
Thirdly, there is a determination to reveal the psychological basis of logical processes, and not merely to describe them as they are in adult reasoning, but to explain also how they arise from simpler mental operations and primarily from sense.
Aristotle's was a logic which steered, as Trendelenburg has shown, between Kantian formalism and Hegelian metaphysics; it was a logic which in the Analytics investigated the syllogism as a means to understanding knowledge and science: it was a logic which, starting from the psychological foundations of sense, memory and experience, built up the logical structure of induction and deduction on the profoundly Aristotelian principle that " there is no process from universals without induction, and none by induction without sense."
c. It is the synthesis of ideas into unity and consciousness of their objective validity, not in the sense of agreement with external reality but in the sense of the logical necessity of their synthesis (Sigwart).
It is a matter of words whether or not we should call this sensory belief a judgment; but it is no matter of choice to the logician, who regards all the constituents of inference as judgments; for the fundamental constituents are sensory beliefs, which are therefore judgments in the logical sense.
It requires no reference to reality beyond the sensible pressure, because it is merely a belief that this exists without inference of the external stimulus or any inference at all: not all judgment then requires the reference of subjective to objective supposed by Ueberweg, or the consciousness of logical necessity supposed by Sigwart.
Not that men should or can carry this logical postulate out in ordinary life; but it is necessary in the logical analysis of judgments, and yet logicians neglect it.
Finally, the great difficulty of the logic of judgment is to find the mental act behind the linguistic expression, to ascribe to it exactly what is thought, neither more nor less, and to apply the judgment thought to the logical proposition, without expecting to find it in ordinary propositions.
It must not be thought that this trifling with logical rules has no effect.
But to say from these premises, " God and metal are similar in what is signified by the middle term," is a mere repetition of the premises; to say, further, that " Gold may be a metal " is a non-sequitur, because, the middle being undistributed, the logical conclusion is the contingent "Gold may or may not be a metal," which leaves the question quite open, and therefore there is no syllogism.
But the question is how the premises must be thought, and they must be thought in the converse way to produce a logical conclusion.
This gross misrepresentation has made hypothesis a kind of logical fashion.
There is indeed a sense in which all inference is from ground to consequence, because it is from logical ground (principium cognoscendi) to logical consequence.
But in the sense in which deductive analysis is opposed to deductive synthesis, analysis is deduction from real consequence as logical ground principiatum as principium) cognoscendi) to real ground (principium essendi), e.g.
But whether Kant be right or wrong, Wundt and his school are decidedly wrong in supposing " supplementary notions which are not contained in experience itself, but are gained by a process of logical treatment of this experience "; as if our behalf in causality could be neither a posteriori nor a priori, but beyond experience wake up in a hypothetical major premise of induction.
Logical inference never goes through the impossible process of premising nothing but ideas, and concluding that ideas are copies of things.
These are the limits within which logical inference works, because its nature essentially consists in proceeding from two judgments to another about similar things, existing or not.
judgment is always true of its sensible object, inferential judgments are not always true, but are true so far as they are logically inferred, however indirectly, from sense; and knowledge consists of sense, memory after sense and logical inference from sense, which, we must remember, is not merely the outer sense of our five senses, but also the inner sense of ourselves as conscious thinking persons.
But we have found, on the wlple, that logical tradition rises superior to logical innovation.
A critical review of some of the chief types of logical theory, with a view to determine development, needs no further justification.
Heidel, " The Logic of the Pre-Socratic Philosophy," in Dewey's Studies in Logical Theory (Chicago, 1903).
The result is a selflimiting dialectic. This higher dialectic is a logic. It is no accident that the first of the philosophical sophists, Gorgias, on the one hand, is Eleatic in his affinities, and on the other raises in the characteristic formula of his intellectual nihilism' issues which are as much logical and epistemological as ontological.
The Theaetetus indeed, in which Plato essays to deal with them, is in the broad sense of the word logical, the first distinctively logical treatise that has come down to us.
Aristotle would assign to Socrates the elaboration of two logical functions: - general definition and inductive method.'
His recourse to such logical analysis as would meet the requirements of the problem in hand 2 is not rare.
These and like developments, which are to be divined from references in the Aristotelian writings, jejune, and, for the most part, of probable interpretation only, complete the material which Aristotle could utilize when he seceded from the Platonic school and embarked upon his own course of logical inquiry.
No other dialogue adds anything to the logical content of these.
The Philebus seems to presuppose Politicus, 283-284, but if this be an error, it will affect the logical theory not at all.
Among the innumerable writers who have thrown light upon Aristotle's logical doctrine, St Hilaire, Trendelenburg, Ueberweg, Hamilton, Mansel, G.
The logical inquiry seems to be conceived as dealing with the thought of which the objects are objects.
The way in which logical doctrine is developed in the Aristotelian treatises fits in with this view.
There is no committal to the metaphysics in the light of which the logical inquiry is at last to find its complete justification.
The debate-game had sought for diversion and found truth, and truth raised the logical problem on a different plane.
It is in induction, which claims to start from particulars and end in universals, 2 that we must, if anywhere within the confines of logical inquiry, expect to find the required bridge.
We have of course abandoned particular logical positions.
He could not recognize such vocables as the impersonals for what they were, and had perforce to ignore the logical significance of purely reciprocal judgments, such as those of equality.
It is because the intervening centuries had the Aristotelian basis to work on, sometimes in reduced quantity and corrupt form, but always in some quantity and some form, that the rest of our logical tradition is what it is.
Recognizing a linguistic side to " logical " theory with a natural development in rhetoric, the Stoics endeavour to exorcise considerations of language from the contrasted side.
The Analytics of Aristotle now entered quite definitely into the logical thought of Scholasticism and we have the contrast of a logica vetus and logica nova .
Though the logical method of Descartes has a great and enduring influence, it is the dualism and the need of God to bridge it, the doctrine of " innate " ideas, i.e.
Locke is of more importance, if not for his logical doctrine, at least for the theory of knowledge from which it flows.
Drawing upon Gassendi for his psychological atomism and upon Hobbes for a thoroughgoing nominalism, he reproduces, as the logical conclusion from Locke's premises, the position of Antisthenes.
With Leibnitz, on the other hand, the logical problem holds the foremost place in philosophical inquiry.
2 From the purely logical thesis, developed at quite an early stage of his thinking, 3 that in any true proposition the predicate is contained in the subject, the main principles of his doctrine of Monads are derivable with the minimum of help from his philosophy of dynamics.
For reasons not purely logical Leibnitz declares for the plurality of such subjects.
Yet it is not a single and unambiguous logical movement that derives from Kant.
Unless the doctrine of Kant's " transcendental logic " must be held to supply a point of view from which a logical development of quite another kind is inevitable, Kant's mantle, so far as logic is concerned, must be regarded as having fallen upon the formal logicians.
An important group of writers developed the conception of an adaptation between the two sides of Kant's antithesis, and made the endeavour to establish some kind of correlation between logical forms and the process of " the given."
For the logical inquiry, however, it is permissible to ignore or reduce these differences.
The determination too of the sense in which Kant's theory of knowledge involves an unresolved antithesis is for the logical purpose necessary so far only as it throws light upon his logic and his influence upon logical developments.
Another logical movement springs from those whom a correlation of fact within the unity of a system altogether failed to satisfy.
It is no accident that it was the psychology of apperception and the voluntaryist theory or practice of Herbart, whose logical theory was so closely allied to that of the formal logicians proper, that contributed most spring from a common stock, though to us unknown - namely sense and understanding."
to technical logic. It may be attributed in some sl i ght degree, perhaps, to incidental flashes of logical insight where his thought is least of what he himself calls logic, e.g.
To allow, however, that abstraction admits of degrees, and that it never obliterates all reference to that from which it is abstracted, is to take a step forward in the direction of the correlation of logical forms with the concrete processes of actual thinking.
Logical forms have for him neither psychological nor metaphysical reference.
In the second, there is no claim that thought at one and the same time imposes form on " the given " and is susceptible of treatment in isolation by logic. With Herbart the forms of common experience, and indeed all that we can regard as his categories, are products of the psychological mechanism and destitute of logical import.
In terms of the agreement of thought and being, the logical forms of the part of dialectic correspondent to knowledge statically considered have parallels and analogies in being, the concept being correlated to substance, the judgment to causal nexus.
Accordingly, though he regards logic as formal, its forms come into relation to objectivity in some sort even within the logical field itself, while when taken in the setting of his system as a whole, its formal character is not of a kind that ultimately excludes psychological and metaphysical reference, at least speculatively.
Its unit, the logical concept, is a manipulated product and the process of manipulation may be called abstraction.
The concept is accounted for in Kantian terms. There is no discontinuity between the pre-logical or sub-logical ' See Ueberweg, System of Logic and History of Logical Doctrines, § 34.
conversion of impressions into " first universals " and the formation of the logical concept.
Yet it is in the detail of his logical investigations, something too volatile to fix in summary, that Lotze's greatness as a logician more especially lies.
It is logic or a rationale of thought by thought, with a full development among other matters of all that the most separatist of logicians regards as thought forms. It offers a solution of what has throughout appeared as the logical problem.
pp. 122 sqq.; invaluable for the logical methods of modern philosophers.
But if we grant this it is no longer obviously the simple logical operation indicated.
Ueberweg (System § Ioi) is, on the whole, justified in exclaiming that Hegel's rehabilitation of syllogism " did but slight service to the Aristotelian theory of syllogism," yet his treatment of syllogism must be regarded as an acute contribution to logical criticism in the technical sense.
Its effect upon logic is rather to be seen in the rethinking of the traditional body of logical doctrine in the light of an absolute presupposed as ideal, with the postulate that a regulative ideal must ultimately exhibit itself as constitutive, the justification of the postulate being held to lie in the coherence and all-inclusiveness of the result.
Finally, there is what may be termed psychological-voluntaryist logic. It is in the rapidity of development of logical investigations of the third and fourth types and the growing number of their exponents that the present shows most clearly the history of logic in the making.
His metaphysical method, however, is like Herbart's, not identifiable with his logic, and the latter has for its central characteristic its thorough restatement of the logical forms traditional in language and the text-books, in such a way as to harmonize with the doctrine of a reality whose organic unity is all-inclusive.
The act of judgment " which refers an ideal content (recognized as such) to a reality beyond the act " is the unit for logic. Grammatical subject and predicate necessarily both fall under the rubric of the adjectival, that is, within the logical idea or ideal content asserted.
With this coheres his dictum, with its far-reaching consequences for the philosophy of induction, that " the logical justification of the inductive process rests upon the fact that it is an inevitable postulate of our effort after knowledge.that the given is necessary, and can be known as proceeding from its grounds according to universal laws."
Of the formal-symbolic logic all that falls to be said here is, that from the point of view of logic as a whole, it is to be regarded as a legitimate praxis as long as it shows itself aware of the sense in which alone form is susceptible of abstraction, and is aware that in itself it offers no solution of the logical problem.
Finally we have a logic of a type fundamentally psychological, if it be not more properly characterized as a psychology which claims to cover the whole field of philosophy, including the logical field.
Of contributions towards the history of special periods or schools of logical thought the list, from the opening chapters of Ramus's Scholae Dialecticae (1569) downwards (v.
The System der Logik (1828) of Bachmann (a Kantian logician of distinction) contains a historical survey (pp. 569-644), as does the Denklehre (1822) of van Calker (allied in thought to Fries), pp. 12 sqq.; Eberstein's Geschichte der Logik and Metaphysik bei den Deutschen von Leibniz bis auf gegenwartige Zeit (latest edition, 1 799) is still of importance in regard to logicians of the school of Wolff and the origines of Kant's logical thought.
The more logical method of procedure is to determine the specific heat independently of the total heat, and then to deduce the variations of total heat by equation (52).
a, from, prior, Arius, that which is before, precedes), (1) a phrase used popularly of a judgment based on general considerations in the absence of particular evidence; (2) a logical term first used, apparently, by Albert of Saxony (14th century), though the theory which it denotes is as old as Aristotle.
Thus in Buddhism the presuppositions which Buddha uncritically took over work out their logical results in the Mahayana, so that great sects calling themselves " Buddhist " affirm what the Master denied and deny what he taught.
A large literature is produced, reconciling science and theology by softening and compromising and adapting; a procedure in accordance with general historical development, for men do not love sharp antagonisms, nor are they prepared to carry principles to their logical conclusions.
These innovators found, however, small support, and were defeated by opponents who used the same logical weapons with authority to back them.
The logical order of an essay which attempts to show how Renaissance was correlated to Reformation and CounterReformation has necessitated the treatment of Italy, Germany and Spain in succession; for these three nations were the three main agents in the triple process to be analysed.
It remained for him, however, to submit them to a rigid analysis and reduce them to a logical form.
Calhoun possessed neither Webster's brilliant rhetoric nor his easy versatility, but he surpassed him in the ordered method and logical sequence of his mind.
These he arranged and stated clearly in the form of aphorisms, with logical deductions, establishing them by proofs drawn from the archives of the council of state.
The Scottish church, hitherto without a definite constitution, soon espoused under his able leadership a logical and thorough Presbyterianism, which was expressed in the Second Book of Discipline, adopted by the assembly in 1577, and was never afterwards set aside by the church when acting freely.
The first were the speculative or logical philosophers, who construe the universe ex analogia hominis, and not ex analogia mundi, who fashion nature according to preconceived ideas, and who employ in their investigations syllogism and abstract reasoning.
This first philosophy had also to investigate what are called the adventitious or transcendental conditions of essences, such as Much, Little, Like, Unlike, Possible, Impossible, Being, Nothing, the logical discussion of which certainly belonged rather to the laws of reasoning than to the existence of things, but the physical or real treatment of which might be expected to yield answers to such questions as, why certain substances are numerous, others scarce; or why, if like attracts like, iron does not attract iron.
The mechanical character both of the natural history and of the logical method applied to it, resulted necessarily from Bacon's radically false conception of the nature of cause and of the causal relation.
The whole logical or scientific problem is treated as if it were one of co-existence, to which in truth the method of exclusion is scarcely applicable, and the assumption is constantly made that each phenomenon has one and only one cause.'
To formulate and show grounds for these laws is to construct a philosophy of induction, and it must not be forgotten that the first step towards the accomplishment of the task was made by Bacon when he introduced and gave prominence to the powerful logical instrument of exclusion or elimination.
If the foregoing examples are held sufficient to establish the influence of Bacon on the intellectual development of his immediate successors, it follows that the whole trend of typically English thought, not only in natural science, but also in mental, moral and political philosophy, is the logical fulfilment of Baconian principles.
It may be freely admitted that in the domain of logic there is nothing in the Organum that has not been more instructively analysed either by Aristotle himself or in modern works; at the same time, there is probably no work which is a better and more stimulating introduction to logical study.
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.
All his training too, university, priestly and in foreign parts, tended to make him logical overmuch.
A logical system of comparative exegesis, Ze led by constant reference to Sanskrit, its nearest ally, and to the her Iranian dialects, is the best means of recovering the lost of rise of the Zend texts.
He now gave his principal attention to the moral sciences, but his interest in natural science was by no means exhausted: throughout his life he continued to write occasional papers on scientific subjects, and his intimate knowledge of the physical sciences greatly contributed to the success of his chief logical work, The Principles of Science.
Jevons arrived quite early in his career at the doctrines that constituted his most characteristic and original contributions to economics and logic. The theory of utility, which became the keynote of his general theory of political economy, was practically formulated in a letter written in 1860; and the germ of his logical principles of the substitution of similars may be found in the view which he propounded in another letter written in 1861, that "philosophy would be found to consist solely in pointing out the likeness of things."
In the years immediately following he devoted considerable attention to the construction of a logical machine, exhibited before the Royal Society in 1870, by means of which the conclusion derivable from any given set of premisses could be mechanically obtained.
In the meantime he was engaged upon a much more important logical treatise, which appeared in 1874 under the title of The Principles of Science.
12 a and developed the view that induction is simply an inverse employment of deduction; he treated in a luminous manner the general theory of probability, and the relation between probability and induction; and his knowledge of the various natural sciences enabled him throughout to relieve the abstract character of logical doctrine by concrete scientific illustrations, often worked out in great detail.
The work as a whole was one of the most notable contributions to logical doctrine that appeared in Great Britain in the 19th century.
These articles and one other were republished after Jevons's death, together with his earlier logical treatises, in a volume, entitled Pure Logic, and other Minor Works.
He was more learned, more sincere, and more logical than Chateaubriand; less of a political partisan and less of a literary sentimentalist than Montalembert.
Inasmuch as he finally followed in philosophy the mainly poetical or theosophic movement of Schelling, which satisfied neither the logical needs appealed to by Hegel nor the new demand for naturalistic induction, Coleridge, after arousing a great amount of philosophic interest in his own country in the second quarter of the century, has ceased to "make a school."
Attaching no value to logical proof and argument, he enlarged on the wonders and mysteries of nature, and maintained his position by the working of miracles.
1632), minister of the Arminian or Remonstrant church, and overwhelmed him with his logical reasoning from Phil.
Castelar soon became famous by his rhetorical speeches in the Constituent Cortes of 1869, where he led the republican minority in advocating a federal republic as the logical outcome of the recent revolution.
The zeal with which the school prosecuted logical inquiries had one practical result - they could use to perfection the unrivalled weapon of analysis.
Indifferent to the scientific basis or logical development of doctrines, he selected from various writers and from different schools what he found most serviceable.
Originally there was only one Parlement, that of Paris, as was indeed logical, considering that the Parlement was simply a continuation of the curia regis, which, like the king, could only be one.
trans., 1881), a selection of passages from the Organon with Latin translation and notes, containing the substance of Aristotle's logical doctrine, supplemented by Erlduterungen zu den Elementen der Aristotelischen Logik (1842; 3rd ed.
The arrangement of the subject-matter, while pretending to much precision, is often far from logical.
Chubb, the least learnedly educated of the deists, did more than any of them, save Herbert, to round his system into a logical whole.
Many points of logical theory, however, are discussed in his medical and scientific writings.
of the Geschichte der Logik (pp. 591-610), and a notice of the logical theories of the true Galen in the same work, PP. 559-577.
The Summa he therefore regarded as representative of the work of the Latin Geber, and study of it convinced him that it contains no indication of an Arabic origin, either in its method, which is conspicuous for clearness of reasoning and logical co-ordination of material, or in its facts, or in the words and persons quoted.
By thus laying stress upon Bodhisatship, rather than upon Arahatship, the new school, though they doubtless merely thought themselves to be carrying the older orthodox doctrines to their I logical conclusion, were really changing the central point of Buddhism, and were altering the direction of their mental vision.
Somewhat later, Herminus, Achaicus and Sosigenes commented on the logical treatises.
On the 30th of August, however, he stated that this had been discovered to be a forgery by Colonel Henry, but he refused to concur with his colleagues in a revision of the Dreyfus prosecution, which was the logical outcome of his own exposure of the forgery.
This forms the logical bibliography of this article.
This broad comprehensiveness, which to outsiders looks like ecclesiastical anarchy, is the characteristic note of the Church of England; it may be, and has been, defended as consonant with Christian charity and suited to the genius of a people not remarkable for logical consistency; but it makes it all the more difficult to say what the religion of Englishmen actually is, even within the English Church.
Irenaeus concludes his account by saying that this Antinomian teaching had its logical consequence in his followers, who lived licentious lives and practised every kind of magic. They also, he adds, worshipped 1 Clement of Alexandria (Strom.
Above all, he broke with the prevalent view which regarded theology as essentially intellectual in its appeal and demonstrable by processes of exact logical deduction.
6 represent excerpts respectively from the essay of an Alexandrian scribe, and a triple fragment of Jewish apocalypse, the analysis above given will be found the exponent of a real logical sequence.
It may be mere coincidence that the material in Matthew as well as in the Didache seems to be arranged in five divisions, beginning with a commendation of the right way, and ending with warnings of the judgment, while the logical analysis of James yields something similar; but of the affinity of spirit there can be no doubt.
Hilgenfeld (Einl.) The logical relation of v.
His rhetorical power was altogether superior to his logical power, and the natural consequence is that his work is full of contradictions.
Cousin's collection, besides giving extracts from the theological work Sic et Non (an assemblage of opposite opinions on doctrinal points, culled from the Fathers as a basis for discussion, the main interest in which lies in the fact that there is no attempt to reconcile the different opinions), includes the Dialectica, commentaries on logical works of Aristotle, Porphyry and Boethius, and a fragment, De Generibus et Speciebus.
The aim of this treatise was to refute the doctrine of free-will, since he considered it the logical, as distinguished from the sentimental, ground of most of the Arminian objections to Calvinism.
The inquiry is, therefore, logical or transcendental in its nature, and does not entangle us in any decision as to the conditions of the genesis of such consciousness in the individual.
But the logical or transcendental conditions are not causes or even factors of knowledge; they are the statement of its idea.
But the possibility of the logical form of all knowledge rests on its relation to this apperception as a faculty or potentiality" (Werke, ed.
This division into direct and indirect is, however, far from logical.
The name of " abacus " is also given, in logic, to an instrument, often called the " logical machine," analogous to the mathematical abacus.
It is constructed to show all the possible combinations of a set of logical terms with their negatives, and, further, the way in which these combinations are affected by the addition of attributes or other limiting words, i.e.
to simplify mechanically the solution of logical problems. These instruments are all more or less elaborate developments of the " logical slate," on which were written in vertical columns all the combinations of symbols or letters which could be made logically out of a definite number of terms. These were compared with any given premises, and those which were incompatible were crossed off.
The logical and constitutional course for Mr Hofmeyr to have followed in these circumstances would have been to accept office and himself form a government.
In 1847 the vigour with which Sumner denounced a Boston congressman's vote in favour of the Mexican War Bill made him the logical leader of the " Conscience Whigs," but he declined to accept their nomination for Congress.
Bazard, a man of logical and more solid temperament, could no longer work in harmony with Enfantin, who desired to establish an arrogant and fantastic sacerdotalism with lax notions as to marriage and the relation of the sexes.
Now when this is done, two tendencies will at once show themselves: (a) This "customary law" will at once become more definite: the very fact of putting it into writing will involve an effort after logical completeness.
For Jacobi understanding, or the logical faculty, is purely formal or elaborative, and its results never transcend the given material supplied to it.
If, then, there is objective truth at all, the existence of real facts must be made known to us otherwise than through the logical faculty of thought; and, as the regress from conclusion to premises must depend upon something not itself capable of logical grounding, mediate thought implies the consciousness of immediate truth.
As Jacobi starts with the doctrine that thought is partial and limited, applicable only to connect facts, but incapable of explaining their existence, it is evident that for him any demonstrative system of metaphysic which should attempt to subject all existence to the principle of logical ground must be repulsive.
All these aspects are of importance to the teacher: the logical, in order that he may know the end which he seeks to attain; the psychological, that he may know how best to attain this end; and the historical, for the light that history throws on psychology.
The logical arrangement of the subject is not the best for elementary study.
The division into abstract and concrete, for instance, is logical, if the former is taken as relating to number and the latter to numerical quantity (§ I I).
On the other hand, logical analysis is necessary if the subject is to be understood.
The present article deals mainly with the principles of the subject, for which a logical arrangement is on the whole the more convenient.
His philosophy exhibited in a striking manner the generalizing tendency of the French intellect, and its logical need of grouping details round central principles.
2 But although one single leading motive runs through the book of Zephaniah there are abrupt transitions which do not concern mere subjective considerations of logical or smooth thought, but material and organic changes representing different groups of ideas.
logical data that its special features were as follow: - The anterior coelomic cavity was wholly or partially divided, and from each half a duct led to the exterior, opening at a pore near the middle line of the back.
for some time refused to withdraw from his fixed theory of the relation of church and state, and Anselm, in despair, preferred to remain abroad rather than to press matters to the rupture that seemed the only logical issue of the controversy.
It was the same with law, an essentially 13th-century study; it was just in this age that the conception of law as something not depending on the pleasure of the king, nor compiled from mere collected ancestral customs, but existing as a logical entity, became generally prevalent, The feeling is thoroughly well expressed by the partisan of Montfort who wrote in his jingling Latin verse: Dicitur vulgariter ut rex vult lex vadit :
The first English scholars of the Renaissance, like Erasmus on the continent, did not see the logical outcome of their own discoveries, nor realize that the campaign against obscurantism would develop into a campaign against Roman orthodoxy.
The Liberals could see no more than that he appeared to be committed to international engagements, the logical outcome of which might beas an orator of the Opposition put itthat Cossacks would be encamped in Hyde Park for the purpose of overawing the House of Commons.
Canning, who had the best reason for knowing, defended the unreformed system on the ground that its very anomalies opened a variety of paths by which talent could make its way into parliament, and thus produced an assembly far more widely representative than could be expected from a more uniform and logical system.
That derives its immense power from other sources; from passion, intensity, imagination, size, truth, cogency of logical reason.
I.n spite, however, of the excellence and extent of his mathematical writings, it is probably as a logical reformer that De Morgan will be best remembered.
Unlike most mathematicians, De Morgan always laid much stress upon the importance of logical training.
In his admirable papers upon the modes of teaching arithmetic and geometry, originally published in the Quarterly Journal of Education (reprinted in The Schoolmaster, vol ii.), he remonstrated against the neglect of logical doctrine.
The general character of De Morgan's development of logical forms was wholly peculiar and original on his part.
Late in 1847 De Morgan published his principal logical treatise, called Formal Logic, or the Calculus of Inference, Necessary and Probable.
This contains a reprint of the First Notions, an elaborate development of his doctrine of the syllogism, and of the numerical definite syllogism, together with chapters of great interest on probability, induction, old logical terms and fallacies.
These papers taken together constitute a great treatise on logic, in which he substituted improved systems of notation, and developed a new logic of relations, and a new onymatic system of logical expression.
The article "Logic" in the English Cyclopaedia (1860) completes the list of his logical publications.
Throughout his logical writings De Morgan was led by the idea that the followers of the two great branches of exact science, logic and mathematics, had made blunders, - the logicians in neglecting mathematics, and the mathematicians in neglecting logic. He endeavoured to reconcile them, and in the attempt showed how many errors an acute mathematician could detect in logical writings, and how large a field there was for discovery.
But it may be doubted whether De Morgan's own system, "horrent with mysterious spiculae," as Hamilton aptly described it, is fitted to exhibit the real analogy between quantitative and qualitative reasoning, which is rather to be sought in the logical works of Boole.
is the first and in some respects the greatest theo logical system in the whole of Church history.
The tendency to retain the original name of an old and comprehensive group for one of the fragments into which such group becomes divided by the advance of knowledge - instead of keeping the name for its logical use as a comprehensive term, including the new divisions, each duly provided with a new name - is most curiously illustrated in the history of the word physiology.
The subtle theo logical controversies of the 17th century made him anxious to show how simple after all fundamental Christianity is.
For they are the natural and logical consequence of the acts which the penitent deplores.
Of their contrasted principles we may perhaps say that, while Aristippus took the most obvious logical step for reducing the teaching of Socrates to clear dogmatic unity, Antisthenes certainly drew the most natural inference from the Socratic life.
So far the steps are plain enough; but we do not yet see how this logical Realism (as it was afterwards called) comes to have the essentially ethical character that especially interests us in Platonism.
Augustine is fully aware of the theoretical indispensability of maintaining Free Will, from its logical connexion with human responsibility and divine justice; but he considers that these latter points are sufficiently secured if actual freedom of choice between good and evil is allowed in the single case of our progenitor Adam.
There is no logical connexion between this theory and the doctrine that appetite of desire has always pleasure (or the absence of pain) for its object; but a materialist, framing a system of psychology, will naturally direct his attention to the impulses arising out of bodily wants, whose obvious end is the preservation of the agent's organism; and this, together with a philosophic wish to simplify, may lead him to the conclusion that all human impulses are similarly self-regarding.
It is, however, important to notice that in his " good " is included not merely happiness but " perfection "; and he does not even define perfection so as to exclude from it the notion of absolute moral perfection and save his theory from an obvious logical circle.
" But since there is no logical connexion between the answers that have thus come to be considered as one doctrine, this apparent unity and simplicity has really hidden fundamental disagreements, and caused no little confusion in ethical debate.
But it is precisely this, the only logical inference, which most evolutionary philosophers are unwilling to draw.
Perhaps the one European thinker who has carried evolutionary principles in ethics to their logical conclusion is Friedrich Nietzsche.
Consequently Nietzsche in effect maintains the following paradoxical position: he explains the existence of altruism upon egoistical principles; he advocates the total abolition of all altruism by carrying these same egoistical principles to their logical conclusion; he nevertheless appeals to that moral instinct which makes men ready to sacrifice their own narrow personal interests to the higher good of society - an instinct profoundly altruistic in character - as the ultimate justification of the ethics he enunciates.
With Taylor's presentation of the difficulties with which morality is expected to grapple probably few would be found seriously to disagree, though they might consider it unduly pessimistic. But when he turns what is in effect a statement of certain forms of moral difficulty into an attack upon the logical and coherent character of morality itself, he is not so likely to command assent.
Such a process is a vicious circle and has no logical validity.
It was a logical consequence of this conception of the sun-god that he was regarded also as the one who released the sufferer from the grasp of the demons.
Nevertheless, he left an enduring mark upon Greek speculation, inasmuch as he not only recognized the need of a logic, and grappled, however unsuccessfully, with one of the most obvious of logical.
had found a new leader, who, by developing the consequences of the Revolutions acts to their logical conclusion, gave first expression to the levelling principle of communism.
Meanwhile the Monophysites had followed in the steps of the Nestorians, multiplying Syriac versions of the logical and medical science of the Greeks.
His paraphrases of Aristotle formed the basis on which Avicenna constructed his system, and his logical treatises produced a permanent effect on the logic of the Latin scholars.
Strong in their conviction of the truth of Aristotelianism, the Arabians carried out their logical results in the theological field, and made the distinction of necessary and possible, of form and matter, the basis of conclusions in the most momentous questions.
" Tertiary" is made the equivalent of Cainozoic. On logical grounds there is much in favour of this interpretation; but having in view the state of geological literature, it is certainly better to restrict the use of the term in the manner indicated above.
There is still a class of conceptions requiring more than a logical treatment, but differing from the last in not involving latent contradictions, and in being independent of the reality of their objects, the conceptions, viz.
He continued his scientific correspondence with unbroken interest and undiminished logical acumen.
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