Journal of Philosophical Logic 23 (3):225 - 245 (1994)

This paper has three goals: (i) to show that the foundational program begun in the Begriffsschroft, and carried forward in the Grundlagen, represented Frege's attempt to establish the autonomy of arithmetic from geometry and kinematics; the cogency and coherence of 'intuitive' reasoning were not in question. (ii) To place Frege's logicism in the context of the nineteenth century tradition in mathematical analysis, and, in particular, to show how the modern concept of a function made it possible for Frege to pursue the goal of autonomy within the framework of the system of second-order logic of the Begriffsschrift. (iii) To address certain criticisms of Frege by Parsons and Boolos, and thereby to clarify what was and was not achieved by the development, in Part III of the Begriffsschrift, of a fragment of the theory of relations
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DOI 10.1007/BF01048481
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References found in this work BETA

Die Grundlagen der Arithmetik.Gottlob Frege - 1988 - Felix Meiner Verlag.
Frege: Philosophy of Mathematics.Michael Dummett - 1991 - Harvard University Press.
Frege and Other Philosophers.Michael Dummett - 1991 - Oxford University Press UK.
Reading the Begriffsschrift.George Boolos - 1985 - Mind 94 (375):331-344.
Frege in Perspective. [REVIEW]Michael D. Resnik - 1990 - Philosophical Review 101 (4):893-895.

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Citations of this work BETA

Logicism, Interpretability, and Knowledge of Arithmetic.Sean Walsh - 2014 - Review of Symbolic Logic 7 (1):84-119.
From Lagrange to Frege: Functions and Expressions.Gabriel Sandu, Marco Panza & Hourya Benis-Sinaceur - 2015 - In Gabriel Sandu, Marco Panza & Hourya Benis-Sinaceur (eds.), Functions and Generality of Logic. Springer Verlag.

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