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Philosophy of Mathematics: Papers
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The philosophy of mathematics is an investigation of the correspondence between symbols on paper and the realities observed by thinking people. That is, it questions the basic assumptions people use when they interpret mathematical models. It ... addresses the ironic circularity introduced when the very description of a mathematical model assumes the concepts of "truth" that it defines.
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The late Imre Lakatos once hoped to found a school of dialectical philosophy of mathematics. The aim of this paper is to ask what that might possibly mean. But Lakatos's philosophy has serious shortcomings. The paper elaborates a conception of dialectical philosophy of mathematics that repairs these defects and considers the work of three philosophers who in some measure fit the description: Yehuda Rav, Mary Leng and David Corfield.
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The papers indexed below were given at the Twentieth World Congress of Philosophy, in Boston, Massachusetts from August 10-15, 1998. Additional papers may be added to this section as electronic versions are aquired and formatted for the archive. These papers will be listed for a period of time at the What's New? page.
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