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Single Idea 10974

[catalogued under 5. Theory of Logic / K. Features of Logics / 6. Compactness]

Full Idea

Classical logical consequence is compact, which means that any consequence of an infinite set of propositions (such as a theory) is a consequence of some finite subset of them.

Gist of Idea

Compactness is when any consequence of infinite propositions is the consequence of a finite subset


Stephen Read (Thinking About Logic [1995], Ch.2)

Book Reference

Read,Stephen: 'Thinking About Logic' [OUP 1995], p.43