Deductive reasoning in which a conclusion is derived from two premises

Usage examples of syllogism.

Such an argument is sometimes exhibited as a Syllogism in Darapti with a Minor premise in U.

It was bound to become obsolescent sooner or later, just as sorites and paradigms and syllogisms became obsolete before it.

After this wise advice I avoided syllogism, which tended toward conviction.

Here the Homilies remind one strongly of the Syllogisms of Apelles, the author of which, in other respects, opposed them in the interest of his doctrine of creating angels.

Hypothetical Syllogism is one that consists of a Hypothetical Major Premise, a Categorical Minor Premise, and a Categorical Conclusion.

Syllogisms with two hypothetical premises leave us still with a hypothetical conclusion.

Dilemma, then, is a compound Conditional Syllogism, having for its Major Premise two Hypothetical Propositions, and for its Minor Premise a Disjunctive Proposition, whose alternative terms either affirm the Antecedents or deny the Consequents of the two Hypothetical Propositions forming the Major Premise.

The relation between the premises of a valid syllogism and its conclusion is the same as the relation between the antecedent and consequent of a hypothetical proposition.

The cautious old gentleman knit his brows tenfold closer after this explanation, being sorely puzzled by the ratiocination of the syllogism, while methought the one in pepper-and-salt eyed him with something of a triumphant leer.

Objector to the Syllogism need not be a Materialist, but assuming that he is one, he is as much entitled to the hypothesis that Matter thinks as a Theist is to his hypothesis that it does not.

Syllogism in the Second Figure with two affirmative premises, and therefore the fallacy of undistributed Middle.

Extract from the following speech a series of Syllogisms, or arguments having the form of Syllogisms: and test their correctness.

But it was maintained that so many dehumanizing ideas were mixed up with his conceptions of man, and so many diabolizing attributes embodied in his imagination of the Deity, that his system of beliefs was tainted throughout by them, and that the fact of his being so remarkable a logician recoiled on the premises which pointed his inexorable syllogisms to such revolting conclusions.

What is our insomnia but the mad obstinacy of our mind in manufacturing thoughts and trains of reasoning, syllogisms and definitions of its own, refusing to abdicate in favor of that divine stupidity of closed eyes, or the wise folly of dreams?

To each memorable image you attach a thought, a label, a category, a piece of the cosmic furniture, syllogisms, an enormous sorites, chains of apothegms, strings of hypallages, rosters of zeugmas, dances of hysteron proteron, apophantic logoi, hierarchic stoichea, processions of equinoxes and parallaxes, herbaria, genealogies of gymnosophists— and so on, to infinity.