Frege on Consistency and Conceptual Analysis

Philosophia Mathematica 15 (3):321-346 (2007)
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Abstract

Gottlob Frege famously rejects the methodology for consistency and independence proofs offered by David Hilbert in the latter's Foundations of Geometry. The present essay defends against recent criticism the view that this rejection turns on Frege's understanding of logical entailment, on which the entailment relation is sensitive to the contents of non-logical terminology. The goals are (a) to clarify further Frege's understanding of logic and of the role of conceptual analysis in logical investigation, and (b) to point out the extent to which his understanding of logic differs importantly from that of the model-theoretic tradition that grows out of Hilbert's work

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Patricia Blanchette
University of Notre Dame

References found in this work

The Frege-Hilbert Controversy.Michael David Resnik - 1974 - Philosophy and Phenomenological Research 34 (3):386-403.
Frege: An Introduction to his Philosophy.G. CURRIE - 1982 - Tijdschrift Voor Filosofie 46 (2):353-354.
Frege, Sense and Mathematical Knowledge.Gregory Currie - 1982 - Australasian Journal of Philosophy 60 (1):5 – 19.
Frege's Reduction.Patricia A. Blanchette - 1994 - History and Philosophy of Logic 15 (1):85-103.

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