The Theory of Gödel
Author(s)
Bibliographic Information
The Theory of Gödel
（Synthese library, v. 470）
Springer, c2022
- [: hbk.]
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Note
Includes bibliographical references (p.155) and index
Description and Table of Contents
Description
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.
Table of Contents
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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