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The Reason's Proper StudyEssays towards a Neo-Fregean Philosophy of Mathematics$
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Bob Hale and Crispin Wright

Print publication date: 2001

Print ISBN-13: 9780198236399

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198236395.001.0001

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Grundlagen §64

Grundlagen §64

(p.91) 4 Grundlagen §64
The Reason's Proper Study

Bob Hale (Contributor Webpage)

Oxford University Press

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

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