Chapter

Number and Ascriptions of Number in Wittgenstein's Tractatus

Juliet Floyd

in Future Pasts

Published in print September 2001 | ISBN: 9780195139167
Published online November 2003 | e-ISBN: 9780199833214 | DOI: http://dx.doi.org/10.1093/019513916X.003.0008
 Number and Ascriptions of Number in Wittgenstein's  Tractatus

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Wittgenstein’s treatment of number words and arithmetic in the Tractatus reflects central features of his early conception of philosophy. In rejecting Frege’s and Russell’s analyses of number, Wittgenstein rejects their respective conceptions of function, object, logical form, generality, sentence, and thought. He thereby surrenders their shared ideal of the clarity a begriffsschrift could bring to philosophy. The development of early analytic philosophy thus evinces far less continuity than some readers of Wittgenstein, from Russell and the Vienna positivists to many contemporary readers of the Tractatus, have supposed.

Keywords: Frege; Russell; Wittgenstein; ascription; number; function; logical form; generality; begriffsschrift; analytic philosophy

Chapter.  25238 words. 

Subjects: History of Western Philosophy

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