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Glossary Statistics / Term

Logical argument

A logical argument consists of one or more premises, propositions that are assumed to be true, and a conclusion, a proposition that is supposed to be guaranteed to be true (as a matter of pure logic) if the premises are true. For example, the following is a logical argument:

•       p q

•       p

•       Therefore, q.

This argument has two premises: p q, and p. The conclusion of the argument is q. If a logical argument is valid if the truth of the premises guarantees the truth of the conclusion; otherwise, the argument is invalid. That is, an argument with premises p1, p1, … pn and conclusion q is valid if the compound proposition

(p1 & p2 & … & pn) → q

is logically equivalent to TRUE. The argument given above is valid because if it is true that pq and that p is true (the two premises), then q (the conclusion of the argument) must also be true.

Permanent link Logical argument - Creation date 2021-08-07


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