The Theory of Gödel
著者
書誌事項
The Theory of Gödel
（Synthese library, v. 470）
Springer, c2022
- [: hbk.]
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注記
Includes bibliographical references (p.155) and index
内容説明・目次
内容説明
This book presents Goedel's incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. An appendix considers their implications for Hilbert's Program for the foundations of mathematics. The text is self-contained, all notions being explained in full detail, but of course previous exposure to the very first rudiments of mathematical logic will help.
目次
First-Order Logic.- Completeness.- First-Order Theories.- Primitive Recursive Arithmetic.- Encoding.- Incompleteness.- Other Limitative Results.- Second-Order Logic.- Second-Order Arithmetic.- Appendix.
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