Inexhaustibility: a non-exhaustive treatment
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schriftenreihe: | Lecture notes in logic
16 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture Notes in Logic series, gives a sustained presentation of a particular view of the topic of Gödelian extensions of theories. It presents the basic material in predicate logic, set theory and recursion theory, leading to a proof of Gödel's incompleteness theorems. The inexhaustibility of mathematics is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results are introduced as needed, making the presentation self-contained and thorough. Philosophers, mathematicians and others will find the book helpful in acquiring a basic grasp of the philosophical and logical results and issues |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 14 Apr 2017) |
| Beschreibung: | 1 online resource (x, 296 pages) |
| ISBN: | 9781316755969 |
| DOI: | 10.1017/9781316755969 |
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| spelling | Franzén, Torkel Verfasser aut Inexhaustibility a non-exhaustive treatment Torkel Franzén Cambridge Cambridge University Press 2016 1 online resource (x, 296 pages) txt rdacontent c rdamedia cr rdacarrier Lecture notes in logic 16 Title from publisher's bibliographic system (viewed on 14 Apr 2017) Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture Notes in Logic series, gives a sustained presentation of a particular view of the topic of Gödelian extensions of theories. It presents the basic material in predicate logic, set theory and recursion theory, leading to a proof of Gödel's incompleteness theorems. The inexhaustibility of mathematics is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results are introduced as needed, making the presentation self-contained and thorough. Philosophers, mathematicians and others will find the book helpful in acquiring a basic grasp of the philosophical and logical results and issues Incompleteness theorems Logic, Symbolic and mathematical https://doi.org/10.1017/9781316755969 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Franzén, Torkel Inexhaustibility a non-exhaustive treatment Incompleteness theorems Logic, Symbolic and mathematical |
| title | Inexhaustibility a non-exhaustive treatment |
| title_auth | Inexhaustibility a non-exhaustive treatment |
| title_exact_search | Inexhaustibility a non-exhaustive treatment |
| title_full | Inexhaustibility a non-exhaustive treatment Torkel Franzén |
| title_fullStr | Inexhaustibility a non-exhaustive treatment Torkel Franzén |
| title_full_unstemmed | Inexhaustibility a non-exhaustive treatment Torkel Franzén |
| title_short | Inexhaustibility |
| title_sort | inexhaustibility a non exhaustive treatment |
| title_sub | a non-exhaustive treatment |
| topic | Incompleteness theorems Logic, Symbolic and mathematical |
| topic_facet | Incompleteness theorems Logic, Symbolic and mathematical |
| url | https://doi.org/10.1017/9781316755969 |
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