Cellucci The Theory of Gödel

1. Auflage 2022
ISBN: 978-3-031-13417-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 159 Seiten

Reihe: Synthese Library

This book presents Gödel’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.

Zielgruppe

Graduate

Autoren/Hrsg.

Cellucci, Carlo

Inhaltsverzeichnis

First-Order Logic.- Completeness.- First-Order Theories.- Primitive Recursive Arithmetic.- Encoding.- Incompleteness.- Other Limitative Results.- Second-Order Logic.- Second-Order Arithmetic.- Appendix.

Über Autor(innen)

Carlo Cellucci is emeritus professor of logic at Sapienza University of Rome. He is the author of eight books: (Boringhieri, 1978); (Laterza, 1998); (Laterza, 2003); (Laterza, 2008); (Springer, 2013); (with Mirella Capozzi, Lulu Press, 2014); (Springer, 2017); (Springer, 2022).