Chapter

Frege on the Consistency of Mathematical Theories*

Michael Dummett

in Frege and Other Philosophers

Published in print January 1996 | ISBN: 9780198236283
Published online November 2003 | e-ISBN: 9780191597343 | DOI: http://dx.doi.org/10.1093/019823628X.003.0001
Frege on the Consistency of Mathematical Theories*

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Concerns Frege's views on the consistency of mathematical theories, particularly as evidenced by his controversy with David Hilbert over his book on the foundations of geometry. Frege identified consistency with satisfiability, but wrongly thought a theory could be shown to have a model only by exhibiting such a model.

Keywords: axiom; consistency; definition; Frege; geometry; Hilbert; mathematics; model

Chapter.  6765 words. 

Subjects: History of Western Philosophy

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