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The Theory of Gödel
Taschenbuch von Carlo Cellucci
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Carlo Cellucci is emeritus professor of logic at Sapienza University of Rome. He is the author of eight books: Teoria della dimostrazione (Boringhieri, 1978); Le ragioni della logica (Laterza, 1998); Filosofia e matematica (Laterza, 2003); Perché ancora la filosofia (Laterza, 2008); Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Springer, 2013); Breve storia della logica: Dall'Umanesimo al primo Rinascimento (with Mirella Capozzi, Lulu Press, 2014); Rethinking Knowledge: The Heuristic View (Springer, 2017); The Making of Mathematics: Heuristic Philosophy of Mathematics (Springer, 2022).

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2023
Fachbereich: Allgemeines
Genre: Geisteswissenschaften, Kunst, Musik, Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: ix
159 S.
ISBN-13: 9783031134197
ISBN-10: 3031134192
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Cellucci, Carlo
Auflage: 1st edition 2022
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Carlo Cellucci
Erscheinungsdatum: 22.11.2023
Gewicht: 0,271 kg
Artikel-ID: 127901680
Über den Autor

Carlo Cellucci is emeritus professor of logic at Sapienza University of Rome. He is the author of eight books: Teoria della dimostrazione (Boringhieri, 1978); Le ragioni della logica (Laterza, 1998); Filosofia e matematica (Laterza, 2003); Perché ancora la filosofia (Laterza, 2008); Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Springer, 2013); Breve storia della logica: Dall'Umanesimo al primo Rinascimento (with Mirella Capozzi, Lulu Press, 2014); Rethinking Knowledge: The Heuristic View (Springer, 2017); The Making of Mathematics: Heuristic Philosophy of Mathematics (Springer, 2022).

Inhaltsverzeichnis

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

Details
Erscheinungsjahr: 2023
Fachbereich: Allgemeines
Genre: Geisteswissenschaften, Kunst, Musik, Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: ix
159 S.
ISBN-13: 9783031134197
ISBN-10: 3031134192
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Cellucci, Carlo
Auflage: 1st edition 2022
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Carlo Cellucci
Erscheinungsdatum: 22.11.2023
Gewicht: 0,271 kg
Artikel-ID: 127901680
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