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Follow :: Follow (v. t.) To result from, as an effect from a cause, or an inference from a premise..

Syllogistic :: Syllogism (n.) 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.

Given :: Given (v.) Granted; assumed; supposed to be known; set forth as a known quantity, relation, or premise..

Premise :: Premise (n.) A proposition antecedently supposed or proved; something previously stated or assumed as the basis of further argument; a condition; a supposition.

Reason :: Reason (n.) To exercise the rational faculty; to deduce inferences from premises; to perform the process of deduction or of induction; to ratiocinate; to reach conclusions by a systematic comparison of facts.

Erect :: Erect (v. t.) To set up as an assertion or consequence from premises, or the like..

Minor :: Minor (n.) The minor term, that is, the subject of the conclusion; also, the minor premise, that is, that premise which contains the minor term; in hypothetical syllogisms, the categorical premise. It is the second proposition of a regular syllogism, as in the following: Every act of injustice partakes of meanness; to take money from another by gaming is an act of injustice; therefore, the taking of money from another by gaming partakes of meanness..

Give :: Give (n.) To set forth as a known quantity or a known relation, or as a premise from which to reason; -- used principally in the passive form given..

Paralogize :: Paralogize (v. i.) To reason falsely; to draw conclusions not warranted by the premises.

Inconsequent :: Inconsequent (a.) Not following from the premises; not regularly inferred; invalid; not characterized by logical method; illogical; arbitrary; inconsistent; of no consequence.

Trilemma :: Trilemma (n.) A syllogism with three conditional propositions, the major premises of which are disjunctively affirmed in the minor. See Dilemma..

Discoursive :: Discoursive (a.) Reasoning; characterized by reasoning; passing from premises to consequences; discursive.

Distribute :: Distribute (v. t.) To employ (a term) in its whole extent; to take as universal in one premise.

Deduce :: Deduce (v. t.) To derive or draw; to derive by logical process; to obtain or arrive at as the result of reasoning; to gather, as a truth or opinion, from what precedes or from premises; to infer; -- with from or out of..

Conclude :: Conclude (v. t.) To reach as an end of reasoning; to infer, as from premises; to close, as an argument, by inferring; -- sometimes followed by a dependent clause..

Deduction :: Deduction (n.) That which is deduced or drawn from premises by a process of reasoning; an inference; a conclusion.

Premit :: Premit (v. t.) To premise.

Derivable :: Derivable (a.) That can be derived; obtainable by transmission; capable of being known by inference, as from premises or data; capable of being traced, as from a radical; as, income is derivable from various sources..

Non Sequitur :: Non sequitur () An inference which does not follow from the premises.

Converse :: Converse (n.) A proposition in which, after a conclusion from something supposed has been drawn, the order is inverted, making the conclusion the supposition or premises, what was first supposed becoming now the conclusion or inference. Thus, if two sides of a sides of a triangle are equal, the angles opposite the sides are equal; and the converse is true, i.e., if these angles are equal, the two sides are equal..

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