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Gödel's incompleteness theorems and significant limitative results are explored in relation to the philosophy of mathematics, presented in a format tailored for philosophical discourse. The book includes an appendix discussing the implications for Hilbert's Program, enhancing the understanding of foundational mathematics. It is designed to be self-contained, with thorough explanations of concepts, although some prior knowledge of basic mathematical logic is beneficial for readers.
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The Theory of Gödel, Carlo Cellucci
- Language
- Released
- 2022
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- (Hardcover)
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- Title
- The Theory of Gödel
- Language
- English
- Authors
- Carlo Cellucci
- Publisher
- Springer International Publishing
- Released
- 2022
- Format
- Hardcover
- Pages
- 172
- ISBN13
- 9783031134166
- Series
- Description
- Gödel's incompleteness theorems and significant limitative results are explored in relation to the philosophy of mathematics, presented in a format tailored for philosophical discourse. The book includes an appendix discussing the implications for Hilbert's Program, enhancing the understanding of foundational mathematics. It is designed to be self-contained, with thorough explanations of concepts, although some prior knowledge of basic mathematical logic is beneficial for readers.