David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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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References found in this work BETA
David Bell (1990). How 'Russellian' Was Frege? Mind 99 (394):267-277.
George Boolos (1985). Reading the Begriffsschrift. Mind 94 (375):331-344.
Alberto Coffa (1982). Kant, Bolzano, and the Emergence of Logicism. Journal of Philosophy 79 (11):679-689.
Michael Dummett (1982). Frege and Kant on Geometry. Inquiry 25 (2):233 – 254.
Michael Dummett (1991). Frege and Other Philosophers. Clarendon Press.
Citations of this work BETA
Sean Walsh (2014). Logicism, Interpretability, and Knowledge of Arithmetic. Review of Symbolic Logic 7 (1):84-119.
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