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The Annotated Gödel
A Reader's Guide to his Classic Paper on Logic and Incompleteness
Taschenbuch von Hal Prince
Sprache: Englisch

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Beschreibung
The Annotated Gödel offers a guided tour of Kurt Gödel's 1931 article on incompleteness, which demonstrated unexpected limits to the power of many logical systems. Today we call these results Gödel's First and Second Incompleteness Theorems. The book includes the complete article in a new English translation, interleaved with commentary that guides the reader through Gödel's work, step by step.

The commentary concentrates on Gödel's exposition. It describes what he is doing at each point, and how it relates to other parts of the article. It elaborates on his proofs by outlining them, for example, or by making a table of his variables and their uses, or by filling in gaps in his arguments.

The translation uses modern mathematical notation and terminology. It replaces Gödel's function and relation names, based on German word fragments, with English equivalents. Its language is less formal than that of the existing translations, which date from the 1960s.

The book assumes some familiarity with mathematical definitions and proofs, at the level of an undergraduate abstract math course, as well as some knowledge of formal logic, from an introductory course or the equivalent.
The Annotated Gödel offers a guided tour of Kurt Gödel's 1931 article on incompleteness, which demonstrated unexpected limits to the power of many logical systems. Today we call these results Gödel's First and Second Incompleteness Theorems. The book includes the complete article in a new English translation, interleaved with commentary that guides the reader through Gödel's work, step by step.

The commentary concentrates on Gödel's exposition. It describes what he is doing at each point, and how it relates to other parts of the article. It elaborates on his proofs by outlining them, for example, or by making a table of his variables and their uses, or by filling in gaps in his arguments.

The translation uses modern mathematical notation and terminology. It replaces Gödel's function and relation names, based on German word fragments, with English equivalents. Its language is less formal than that of the existing translations, which date from the 1960s.

The book assumes some familiarity with mathematical definitions and proofs, at the level of an undergraduate abstract math course, as well as some knowledge of formal logic, from an introductory course or the equivalent.
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 184
ISBN-13: 9798986414201
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Prince, Hal
Hersteller: Homebred Press
Maße: 234 x 156 x 11 mm
Von/Mit: Hal Prince
Erscheinungsdatum: 21.08.2022
Gewicht: 0,289 kg
preigu-id: 124654470
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 184
ISBN-13: 9798986414201
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Prince, Hal
Hersteller: Homebred Press
Maße: 234 x 156 x 11 mm
Von/Mit: Hal Prince
Erscheinungsdatum: 21.08.2022
Gewicht: 0,289 kg
preigu-id: 124654470
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