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16865 | 'Theorems' are both proved, and used in proofs [Frege] |
Full Idea: Usually a truth is only called a 'theorem' when it has not merely been obtained by inference, but is used in turn as a premise for a number of inferences in the science. ….Proofs use non-theorems, which only occur in that proof. | |
From: Gottlob Frege (Logic in Mathematics [1914], p.204) |