Chapter

Metatheory

Patricia A. Blanchette

in Frege’s Conception of Logic

Published in print April 2012 | ISBN: 9780199891610
Published online May 2012 | e-ISBN: 9780199933211 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199891610.003.0007
Metatheory

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This chapter argues, as against Jean van Heijenoort, Burt Dreben, Warren Goldfarb, Tom Ricketts, and Joan Weiner, that Frege can, and does, make good sense of metatheory. The details of Frege’s metatheory are examined, and the standard argument against Fregean metatheory, namely that the “universalism” of logic conflicts with metatheory, is shown to be wanting.

Keywords: metatheory; Ricketts; Goldfarb; Dreben; completeness; consistency; reliability; universalism

Chapter.  12264 words. 

Subjects: Philosophy of Mathematics and Logic

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