Combining Philosophers

Ideas for Herodotus, G.E. Moore and William D. Hart

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5. Theory of Logic / K. Features of Logics / 6. Compactness

13496	First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD]
	Full Idea: First-order logic is 'compact', which means that any logical consequence of a set (finite or infinite) of first-order sentences is a logical consequence of a finite subset of those sentences.
	From: William D. Hart (The Evolution of Logic [2010], 3)