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  1. The primary argument of this paper is that at least a few problems in philosophy|including some in the ontology of mathematics|arise when the precision of natural language is overestimated and we mistake the fuzziness of natural linguistic and conceptual systems for the precision needed for mathemat-ical ones.

  2. 25. Sept. 2007 · 2.1 Logicism. 2.2 Intuitionism. 2.3 Formalism. 2.4 Predicativism. 3. Platonism. 3.1 Gödel’s Platonism. 3.2 Naturalism and Indispensability. 3.3 Deflating Platonism. 3.4 Benacerraf’s Epistemological Problem. 3.5 Plenitudinous Platonism. 4. Structuralism and Nominalism. 4.1 What Numbers Could Not Be. 4.2 Ante Rem Structuralism.

  3. Studies in Logic and the Foundations of Mathematics | Problems in the Philosophy of Mathematics | ScienceDirect.com by Elsevier. Problems in the Philosophy of Mathematics. Edited by Imre Lakatos - Reader in Logic, University of London. Volume 47, Pages iii-xi, 1-241 (1967) Download full volume. Previous volume. Next volume. / Download PDFs.

  4. Problems in philosophy of mathematics: A view from cognitive science. Steven T. Piantadosi. Chapter. 1290 Accesses. Abstract. I argue that many of the problems in mathematical ontology result from our use of natural language, a communication system that is imprecise.

  5. Abstract. This article examines a number of issues and problems that motivate at least much of the literature in the philosophy of mathematics. It first considers how the philosophy of mathematics is related to metaphysics, epistemology, and semantics.

  6. 30. Okt. 2022 · But what are the main problems of the philosophy of mathematics? Oct 30, 2022 • By Luke Dunne, BA Philosophy & Theology. The simplest questions in the philosophy of mathematics point to profound issues: why is 1+1 = 2? Why does the statement “1+1 = 2” feel so very different from a statement like “it rained yesterday”?

    • Luke Dunne
    • Problems In The Philosophy Of Mathematics1
    • Problems In The Philosophy Of Mathematics2
    • Problems In The Philosophy Of Mathematics3
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    • Problems In The Philosophy Of Mathematics5
  7. 7. Feb. 2019 · This chapter addresses different conceptions of the philosophy of mathematics. Classic positions become characterised as two-dimensional by concentrating on ontological and epistemological issues. As an alternative, a four-dimensional philosophy of mathematics become...