Three Kantian Strands in Frege’s View of Arithmetic

Journal for the History of Analytical Philosophy 2 (7) (2014)
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Abstract

On the background of explaining their different notions of analyticity, their different views on definitions, and some aspects of Frege’s notion of sense, three important Kantian strands that interweave into Frege’s view are exposed. First, Frege’s remarkable view that arithmetic, though analytic, contains truths that “extend our knowledge”, and by Kant’s use of the term, should be regarded synthetic. Secondly, that our arithmetical (and logical) knowledge depends on a sort of a capacity to recognize and identify objects, which are given us in particular ways, constituting their senses (Sinne). Third, that there is a sense in which Frege’s view of definitions and explications gives new substance to Kant’s leading idea of analyticity, namely, the containment of a truth or a concept in another. In all these, Frege’s view does not endorse the Kantian strands as they are, but gives them special and sometimes quite sophisticated twists.

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Citations of this work

Frege's Curiously Two-Dimensional Concept-Script.Landon D. C. Elkind - 2021 - Journal for the History of Analytical Philosophy 9 (11).

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References found in this work

[Omnibus Review].Tyler Burge - 1981 - Journal of Symbolic Logic 46 (2):412-415.
Frege, Kant, and the logic in logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
Frege on knowing the foundation.Tyler Burge - 1998 - Mind 107 (426):305-347.
Frege's notions of self-evidence.Robin Jeshion - 2001 - Mind 110 (440):937-976.

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