Towards an arithmetical logic: the arithmetical foundations of logic
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Basel]
Birkhäuser
[2015]
|
| Schriftenreihe: | Studies in universal logic
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XI, 184 Seiten, 9 illus) |
| ISBN: | 9783319220871 |
| ISSN: | 2297-0282 |
| DOI: | 10.1007/978-3-319-22087-1 |
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Datensatz im Suchindex
| _version_ | 1804175709704290304 |
|---|---|
| adam_text | TOWARDS AN ARITHMETICAL LOGIC
/ GAUTHIER, YVON
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
1.INTRODUCTION
2.ARITHMETIZATION OF ANALYSIS AND ALGEBRA
3.ARITHMETIZATION OF LOGIC
4.KRONECKER S FOUNDATIONAL PROGRAMME IN CONTEMPORARY MATHEMATICS
5.ARITHMETICAL FOUNDATIONS FOR PHYSICAL THEORIES
6.THE INTERNAL LOGIC OF CONSTRUCTIVE MATHEMATICS
7.THE INTERNAL CONSISTENCY OF ARITHMETIC WITH INFINITE DESCENT. A
SYNTACTICAL PROOF
8 CONCLUSION. ARITHMETISM VERSUS LOGICISM OR KRONECKER CONTRA FREGE
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TOWARDS AN ARITHMETICAL LOGIC
/ GAUTHIER, YVON
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK OFFERS AN ORIGINAL CONTRIBUTION TO THE FOUNDATIONS OF LOGIC
AND MATHEMATICS, AND FOCUSES ON THE INTERNAL LOGIC OF MATHEMATICAL
THEORIES, FROM ARITHMETIC OR NUMBER THEORY TO ALGEBRAIC GEOMETRY.
ARITHMETICAL LOGIC IS THE TERM USED TO REFER TO THE INTERNAL LOGIC OF
CLASSICAL ARITHMETIC, HERE CALLED FERMAT-KRONECKER ARITHMETIC, AND
COMBINES FERMAT’S METHOD OF INFINITE DESCENT WITH KRONECKER’S
GENERAL ARITHMETIC OF HOMOGENEOUS POLYNOMIALS. THE BOOK ALSO INCLUDES A
TREATMENT OF THEORIES IN PHYSICS AND MATHEMATICAL PHYSICS TO UNDERSCORE
THE ROLE OF ARITHMETIC FROM A CONSTRUCTIVIST VIEWPOINT. THE SCOPE OF THE
WORK INTERTWINES HISTORICAL, MATHEMATICAL, LOGICAL AND PHILOSOPHICAL
DIMENSIONS IN A UNIFIED CRITICAL PERSPECTIVE; AS SUCH, IT WILL APPEAL TO
A BROAD READERSHIP FROM MATHEMATICIANS TO LOGICIANS, TO PHILOSOPHERS
INTERESTED IN FOUNDATIONAL QUESTIONS. RESEARCHERS AND GRADUATE STUDENTS
IN THE FIELDS OF PHILOSOPHY AND MATHEMATICS WILL BENEFIT FROM THE
AUTHOR’S CRITICAL APPROACH TO THE FOUNDATIONS OF LOGIC AND MATHEMATICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| isbn | 9783319220871 |
| issn | 2297-0282 |
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| series2 | Studies in universal logic |
| spelling | Gauthier, Yvon 1941- Verfasser (DE-588)106823191 aut Towards an arithmetical logic the arithmetical foundations of logic Yvon Gauthier [Basel] Birkhäuser [2015] © 2015 1 Online Ressource (XI, 184 Seiten, 9 illus) txt rdacontent c rdamedia cr rdacarrier Studies in universal logic 2297-0282 Mathematics Mathematical logic Mathematical Logic and Foundations Mathematik Erscheint auch als Druckausgabe 978-3-319-22086-4 https://doi.org/10.1007/978-3-319-22087-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633088&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028633088&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Gauthier, Yvon 1941- Towards an arithmetical logic the arithmetical foundations of logic Mathematics Mathematical logic Mathematical Logic and Foundations Mathematik |
| title | Towards an arithmetical logic the arithmetical foundations of logic |
| title_auth | Towards an arithmetical logic the arithmetical foundations of logic |
| title_exact_search | Towards an arithmetical logic the arithmetical foundations of logic |
| title_full | Towards an arithmetical logic the arithmetical foundations of logic Yvon Gauthier |
| title_fullStr | Towards an arithmetical logic the arithmetical foundations of logic Yvon Gauthier |
| title_full_unstemmed | Towards an arithmetical logic the arithmetical foundations of logic Yvon Gauthier |
| title_short | Towards an arithmetical logic |
| title_sort | towards an arithmetical logic the arithmetical foundations of logic |
| title_sub | the arithmetical foundations of logic |
| topic | Mathematics Mathematical logic Mathematical Logic and Foundations Mathematik |
| topic_facet | Mathematics Mathematical logic Mathematical Logic and Foundations Mathematik |
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