Frege and the rigorization of analysis

Journal of Philosophical Logic 23 (3):225 - 245 (1994)
Abstract
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.
Cantorian Set Theory and Limitation of Size. [REVIEW]John Mayberry - 1986 - Philosophical Quarterly 36 (144):429-434.
Frege in Perspective.Joan Weiner - 1990 - Philosophical Review 101 (4):893-895.
Reading the Begriffsschrift.George Boolos - 1985 - Mind 94 (375):331-344.

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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.

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