The Tractatus on Inference and Entailment

Ian Proops

in From Frege to Wittgenstein

Published in print January 2002 | ISBN: 9780195133264
Published online November 2003 | e-ISBN: 9780199833580 | DOI:
The Tractatus on Inference and Entailment

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In the Tractatus, Wittgenstein criticizes Frege and Russell for maintaining that “laws of inference” justify inferences (Tractatus 5.132). I argue that what lies behind this criticism is a rejection of attempts to analyze the relation of logical entailment in other terms – e.g., Russell's 1905 analysis of logical entailment as the derivability from logical laws of the corresponding conditional. I conclude with an examination of Wittgenstein's positive view of logical entailment as an internal relation between propositions.

Keywords: Bradley; entailment; inference; internal relation; Lewis Carroll; logic; Moore; Russell; Tractatus; Wittgenstein

Chapter.  14914 words. 

Subjects: History of Western Philosophy

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