noun

definition

A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.

definition

The study of the principles and criteria of valid inference and demonstration.

definition

The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements.

definition

A formal or informal language together with a deductive system or a model-theoretic semantics.

definition

Any system of thought, whether rigorous and productive or not, especially one associated with a particular person.

example

It's hard to work out his system of logic.

definition

The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit.

example

Fred is designing the logic for the new controller.

verb

definition

To engage in excessive or inappropriate application of logic.

definition

To apply logical reasoning to.

definition

To overcome by logical argument.

adjective

definition

Logical

Examples of logic in a Sentence

Her logic and her sympathy are in excellent balance.

His logic and acceptance of the deformity was amazingly positive and mature for a 9-year-old.

Logic began to drift back into Dean's thought process.

That sounds like your kind of logic - always thinking of the other person first.

He saw the logic, even though he didn't want to.

I wasn't thinking at my highest level of logic.

He always tried to govern his thinking by logic.

It wasn't the money he objected to so much as the irrational logic.

It was an illogical thought, but her mind was beyond logic.

Mathematical Logic as based on the Theory of Types,"Amer.

She didn't expect it; she expected him to lie rather than point out the flaws in her desperate logic.

It was scrambling her logic and had completely decimated her self-control where he was concerned.

Only the tiniest shred of doubt remained in her mind, and that was probably born of wishful thinking, not logic.

But the pupil soon found his teacher to be a charlatan, and taught himself, aided by commentaries, to master logic, geometry andastronomy.

His inductive logic must "supplement and not supersede."

The Koran, sacred and secular law, logic, poetry, arithmetic, with some medicine and geography, are the chief subjects of study.

The world is happiest when this process is one of persuasion, goodwill, reason, logic, and negotiation.

His logic was sound, but there was still the situation with the chair.

His Logic, Metaphysics, Physics, De Caelo, are treatises giving a synoptic view of Aristotelian doctrine.

Appointed superintendent of the cathedral school of his native city, he taught with such success as to attract pupils from all parts of France, and powerfully contributed to diffuse an interest in the study of logic and metaphysics, and to introduce that dialectic development of theology which is designated the scholastic. The earliest of his writings of which we have any record is an Exhortatory Discourse to the hermits of his district, written at their own request and for their spiritual edification.

This suggestion has some interest, but is of no great value, either in logic or in the theory of knowledge.

Charles, however, has given good grounds for supposing that it is merely a preface, and that the work went on to discuss grammar, logic (which Bacon thought of little service, as reasoning was innate), mathematics, general physics, metaphysics and moral philosophy.

After that, apparently, logic was to be treated; then, possibly, mathematics and physics; then speculative alchemy and experimental science.

Sigwart, in the preface to the first edition of his Logic, makes "special mention" of the assistance he obtained from this book.

They were followed by treatises of a different character, clearer in matter, more systematic in arrangement, and reflecting the methods of the scholastic logic; these are farther from the Greek tradition, for although they contain sufficient traces of their ultimate Greek ancestry, their authors do not know the Greeks as masters and cite no Greek names.

Bartole, the official biographer of Ignatius, says that he would not permit any innovation in the studies; and that, were he to live five hundred years, he would always repeat "no novelties" in theology, in philosophy or in logic - not even in grammar.

Besides being a contributor to the magazines and encyclopedias on educational and philosophical subjects, he wrote An Introduction to the Study of Philosophy (1889); The Spiritual Sense of Dante's Divina Commedia (1889); Hegel's Logic (1890); and Psychologic Foundations of Education (1898); and edited Appleton's International Education Series and 'Webster's International Dictionary.

Haydn uses a true Straussian discord in The Seasons, in order to imitate the chirping of a cricket; but the harshest realism in Gatterdammerung (the discord produced by the horns of Hagen and his churls in the mustering-scene in the second act) has a harmonic logic which would have convinced Corelli.

Justinian himself, with the aid of Leontius of Byzantium (c. 4 8 5-543), a monk with a decided turn for Aristotelian logic and metaphysics, had tried to reconcile the Cyrillian and Chalcedonian positions, but he inclined more and'more towards the monophysite view, and even went so far as to condemn by edict three teachers (Theodore of Mopsuestia, Theodoret, the opponent of Cyril, and Ibas of Edessa) who were offensive to the monophysites.

Whatever be the historical worth of this story, it may safely be said that it cannot be disproved by deductive reasoning from the premisses of abstract logic. The most we can do is to assert that a universe in which such things are liable to happen on a large scale is unfitted for the practical application of the theory of cardinal numbers.

The eighth now extant is really an incomplete treatise on logic. Some critics have rejected this book as spurious, since its matter is so different from that of the rest.

He was professor of moral philosophy at Bourges (1845-1848) and Strassburg (1848-- 1857), and of logic at the lycee Louis-le-Grand, Paris (1857-1864).

Believers in law have put their trust in authority or logic; while believers in disposition chiefly look to our instinctive faculties - conscience, common-sense or sentiment.

But common-sense and conscience are quite as definite guides as logic or authority; and there seems no good reason for refusing to give the name of casuistry to their operations.

These logic must seize upon and develop as far as they will go; for the breach of some trifling consequence of a rule might mean the loss of the deity's favour.

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.

In formal logic the drawing of inferences is frequently called ratiocination.

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.

Prantl says that there is no such thing as philosophy in the middle ages; there are only logic and theology.

But the saying draws attention to the two great influences which shaped medieval thought - the tradition of ancient logic and the system of Christian theology.

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.

As aids to the study of logic, the doctors of this period, beside the commentaries and treatises of Boetius (q.v.), possessed two tracts attributed to St Augustine, the first of which, Principia dialecticae, is probably his, but is mainly grammatical in its import.

The next centuries show that peculiar combination of logic and theology which is the mark of Scholasticism, especially in the period before the r3th century.

The earlier doctors who avail themselves of Aristotle's works, while bowing to his authority implicitly in matters of logic, are generally found defending a Christianized Platonism against the doctrine of the Metaphysics.

So also is Petrus Hispanus (Pope John XXI.), who is chiefly important, however, as the author of the much-used manual Summulae logicales, in which the logic of the schools was expanded by the incorporation of fresh matter of a semi-grammatical character.

In logic, ignorance is that state of mind which for want of evidence is equally unable to affirm or deny one thing or another.

Among the works which he translated into Syriac and of which his versions survive are treatises of Aristotle, Porphyry and Galen, 3 the Ars grammatica of Dionysius Thrax, the works of Dionysius the Areopagite, and possibly two or three treatises of Plutarch.4 His own original works are less important, but include a " treatise on logic, addressed to Theodore (of Merv), which is unfortunately imperfect, a tract on negation and affirmation; a treatise, likewise addressed to Theodore, On the Causes of the Universe, according to the Views of Aristotle, showing how it is a Circle; a tract On Genus, Species and Individuality; and a third tract addressed to Theodore, On the Action and Influence of the Moon, explanatory and illustrative of Galen's IIEpi rcptaiµwv r t µepwv, bk.

Paul the Persian, a courtier of Khosrau Anosharwan, dedicated to the king a treatise on logic which has been published from a London MS. by Land in the 4th volume of his Anecdota.

He wrote Breviuscula Introductio ad Logicam, a treatise on logic and the psychology of the intellectual powers; Synopsis Theologiae Naturalis; and an edition of Pufendorf, De Officio Hominis et Civis, with notes and supplements of high value.

The term in Aristotelian logic is opposed to dialectic, as scientific proof to probable reasoning.

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