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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.
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.
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.
In this survey, I sketch a number of issues and problems that motivate at least much of the literature in the philosophy of mathematics, but without any claims to be comprehensive. 1 This sets the stage for various matters of methodology. 2. Metaphysics, Epistemology, Semantics.
Latest Issue. Volume 32 Issue 1. February 2024. Impact Factor. 1.1. 5 year Impact Factor. 1.1. Editor. Robert S. D. Thomas. About the journal. Philosophia Mathematica is the only journal in the world devoted specifically to philosophy of mathematics.
This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory. Topics include the realism/anti-realism debate in mathematics, mathematical explanation
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...