Frege on Indirect Proof

History and Philosophy of Logic 32 (3):283-290 (2011)
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Abstract

Frege's account of indirect proof has been thought to be problematic. This thought seems to rest on the supposition that some notion of logical consequence ? which Frege did not have ? is indispensable for a satisfactory account of indirect proof. It is not so. Frege's account is no less workable than the account predominant today. Indeed, Frege's account may be best understood as a restatement of the latter, although from a higher order point of view. I argue that this ascent is motivated by Frege's conception of logic

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Ivan Welty
Willamette University

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References found in this work

Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
The basic laws of arithmetic.Gottlob Frege - 1893 - Berkeley,: University of California Press. Edited by Montgomery Furth.
Logic in the twenties: The nature of the quantifier.Warren D. Goldfarb - 1979 - Journal of Symbolic Logic 44 (3):351-368.
Frege’s 1906 Foray into Metalogic.Thomas Ricketts - 1997 - Philosophical Topics 25 (2):169-188.

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