Theoria 78 (2):146-167 (2012)

Authors
Kevin Klement
University of Massachusetts, Amherst
Abstract
I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood
Keywords number  extensions  objects  Frege  functions  concepts  logicism
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DOI 10.1111/j.1755-2567.2012.01129.x
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References found in this work BETA

The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.

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Citations of this work BETA

Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.
Saying Something About a Concept: Frege on Statements of Number.Mark Textor - 2021 - History and Philosophy of Logic 42 (1):60-71.
Quantification and Paradox.Edward Ferrier - 2018 - Dissertation, University of Massachusetts Amherst

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