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Frege's Conception of Logic (Hardcover)
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Frege's Conception of Logic (Hardcover)
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In Frege's Conception of Logic Patricia A. Blanchette explores the
relationship between Gottlob Frege's understanding of conceptual
analysis and his understanding of logic. She argues that the
fruitfulness of Frege's conception of logic, and the illuminating
differences between that conception and those more modern views
that have largely supplanted it, are best understood against the
backdrop of a clear account of the role of conceptual analysis in
logical investigation. The first part of the book locates the role
of conceptual analysis in Frege's logicist project. Blanchette
argues that despite a number of difficulties, Frege's use of
analysis in the service of logicism is a powerful and coherent
tool. As a result of coming to grips with his use of that tool, we
can see that there is, despite appearances, no conflict between
Frege's intention to demonstrate the grounds of ordinary arithmetic
and the fact that the numerals of his derived sentences fail to
co-refer with ordinary numerals. In the second part of the book,
Blanchette explores the resulting conception of logic itself, and
some of the straightforward ways in which Frege's conception
differs from its now-familiar descendants. In particular,
Blanchette argues that consistency, as Frege understands it,
differs significantly from the kind of consistency demonstrable via
the construction of models. To appreciate this difference is to
appreciate the extent to which Frege was right in his debate with
Hilbert over consistency- and independence-proofs in geometry. For
similar reasons, modern results such as the completeness of formal
systems and the categoricity of theories do not have for Frege the
same importance they are commonly taken to have by his
post-Tarskian descendants. These differences, together with the
coherence of Frege's position, provide reason for caution with
respect to the appeal to formal systems and their properties in the
treatment of fundamental logical properties and relations.
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