syllogism

A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion; for example, All humans are mortal, the major premise, I am a human, the minor premise, therefore, I am mortal, the conclusion.

Reasoning from the general to the specific; deduction.

A subtle or specious piece of reasoning.

A logical formula consisting of two premises and a conclusion alleged to follow from them, in which a term contained in both premises disappears: but the truth of neither the premises nor the conclusion is necessarily asserted.

Deductive or explicatory reasoning as opposed to induction and hypothesis: a use of the term which has been common since Aristotle.

See the adjectives.

The regular logical form of every argument, consisting of three propositions, of which the first two are called the premises, and the last, the conclusion. The conclusion necessarily follows from the premises; so that, if these are true, the conclusion must be true, and the argument amounts to demonstration.

An inference in which one proposition (the conclusion) follows necessarily from two other propositions, known as the premises.

deductive reasoning in which a conclusion is derived from two premises