Grundlagen §64

Bob Hale

in The Reason's Proper Study

Published in print March 2001 | ISBN: 9780198236399
Published online November 2003 | e-ISBN: 9780191597565 | DOI:
Grundlagen §64

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In Section 64 of the Grundlagen, Frege claims that ’the direction of line a = the direction of line b’ and ’lines a and b are parallel’ share the same content, ’carved up’ in different ways. This essay explores how the metaphor of ’carving up content’ should be understood. After considering various candidates for the ’content’ of a sentence––including truth values, states of affairs, and Dummett's notion of strongly compositional sense––the article concentrates on giving an analysis of content as weak sense, identity conditions for which are given in terms of compact entailment. The final section considers whether such recarvings are legitimately characterized as ’ontologically inflationary’. A substantial postscript to the original paper considers objections to the above account, and formulates a modified version of the identity conditions for weak sense designed to meet these criticisms.

Keywords: compact entailment; content; Dummett; Frege; Grundlagen; reference; sense

Chapter.  12926 words. 

Subjects: Philosophy of Mathematics and Logic

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