Mathematics and reality

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Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction).

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Title Statements

Full title :Mathematics and reality / Mary Leng.

Summary

Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction).

Edition Statements

Publication Date:2010.

Publication Statements

Publisher(s):Oxford University Press
Place of Publication:Oxford
Language:eng
Publication Date:2010.

The Physical Object

Description:x, 278 pages ; : 24 cm

Edition Identifiers

ISBN:9780199280797, 0199280797
oclc:ocn471822400
LC Classification:QA8.4
Dewey Decimal:510.1

1. Introduction -- 1.1. Naturalism and Mathematics -- 1.2. A Note on Existence and Quantification -- 1.3. A Note on Àbstract' -- 2. Naturalism and Ontology -- 2.1. Rejecting ̀First Philosophy' -- 2.2. Naturalized Ontology -- 2.3. Naturalism and the Indispensability Argument -- 3. The Indispensability of Mathematics -- 3.1. Is Mathematics Dispensable? -- 3.2. Problems for Field's Programme -- 3.3. Accepting Indispensability -- 4. Naturalism and Mathematical Practice -- 4.1. Mathematical and Scientific Norms: A Conflict? -- 4.2. Reasons to Utter and Reasons to Believe -- 4.3. Against Recreational Mathematics -- 5. Naturalism and Scientific Practice -- 5.1. Scientific Confirmation and Mathematical Posits -- 5.2. Does the Indispensability Argument Conflict with Scientific Practice? -- 5.3. Cracks in the Argument: Ontological Commitment Revisited -- 6. Naturalized Ontology -- 6.1. Models and Idealizations -- 6.2. Does (Naturalized) Ontology Rest on a Mistake? -- 6.3. Explanation and Ontological Commitment -- 7. Mathematics and Make-Believe -- 7.1. An Anti-Realist Theory of Fiction -- 7.2. The Value of Make-Believe Representations -- 7.3. Mathematics as Fiction -- 8. Mathematical Fiction…

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