Philosophy of mathematics : classic and contemporary studies
著者
書誌事項
Philosophy of mathematics : classic and contemporary studies
（Textbooks in mathematics）（A Chapman & Hall book）
CRC Press, c2022
- : pbk
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注記
Includes bibliographical references (p. 305-325) and index
内容説明・目次
内容説明
* This is a textbook on philosophy of mathematics from the point of view of a mathematician, aimed to attract mathematicians into foundational and philosophical problems in mathematics and help them learn how and to what extent a philosophical view can change the mathematical practice.
* It contains up to date and current book available.
* The text will appeal to both mathematicians and philosophy departments where Philosophy of Mathematics or Philosophy of Science is taught.
目次
1. Introduction
2. Mathematical Preliminaries
3. Platonism
4. Intuitionism
5. Logicism
6. Formalism
7. Goedel's Incompleteness Theorem and Computability
8. The Church-Turing Thesis
9. Infinity
10. Supertasks
11. Models, Completeness, and Skolem's Paradox
12. Axiom of Choice
13. Naturalism
14. Structuralism
15. Yablo's Paradox
16. Mathematical Pluralism
17. Does Mathematics Need More Axioms?
18. Mathematical Nominalism
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