David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933:
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English German |
| Veröffentlicht: |
Berlin
Springer
[2013]
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| Schriftenreihe: | David Hilbert's lectures on the foundations of mathematics and physics, 1891 - 1933
3 |
| Schlagworte: | |
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| Beschreibung: | 1 Online-Ressource Illustrationen, Diagramme |
| ISBN: | 9783540694441 |
| DOI: | 10.1007/978-3-540-69444-1 |
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Datensatz im Suchindex
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| _version_ | 1806178784228933632 |
| adam_text | DAVID HILBERT S LECTURES ON THE FOUNDATIONS OF ARITHMETIC AND LOGIC
1917-1933
/
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
HILBERT S LECTURES ON PRINCIPLES OF MATHEMATICS FROM 1917-18
HILBERT S LECTURES ON THE LOGICAL CALCULUS FROM 1920
CHAPTER 3: HILBERT S LECTURES ON PROBLEMS OF MATHEMATICAL LOGIC FROM
1920
HILBERT S LECTURES ON FOUNDATIONS OF MATHEMATICS FROM 1921-22
HILBERT S LECTURES ON LOGICAL FOUNDATIONS OF MATHEMATICS FROM 1922-23
HILBERT S LECTURES ON THE INFINITE FROM 1924-25
HILBERT S TYPESCRIPT ON THE FOUNDATIONS OF THOUGHT FROM C. 1925
HILBERT S LECTURE ON INFINITY FROM 1933
MISCELLANEA
APPENDIX A: BERNAYS S HABILITATION THESIS FROM 1918
APPENDIX B: FIRST EDITION OF HILBERT AND ACKERMANN, 1928
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DAVID HILBERT S LECTURES ON THE FOUNDATIONS OF ARITHMETIC AND LOGIC
1917-1933
/
: 2013
ABSTRACT / INHALTSTEXT
THE CORE OF VOLUME 3 CONSISTS OF LECTURE NOTES FOR SEVEN SETS OF
LECTURES HILBERT GAVE (OFTEN IN COLLABORATION WITH BERNAYS) ON THE
FOUNDATIONS OF MATHEMATICS BETWEEN 1917 AND 1926. THESE TEXTS MAKE
POSSIBLE FOR THE FIRST TIME A DETAILED RECONSTRUCTION OF THE RAPID
DEVELOPMENT OF HILBERT’S FOUNDATIONAL THOUGHT DURING THIS PERIOD, AND
SHOW THE INCREASING DOMINANCE OF THE METAMATHEMATICAL PERSPECTIVE IN HIS
LOGICAL WORK: THE EMERGENCE OF MODERN MATHEMATICAL LOGIC; THE EXPLICIT
RAISING OF QUESTIONS OF COMPLETENESS, CONSISTENCY AND DECIDABILITY FOR
LOGICAL SYSTEMS; THE INVESTIGATION OF THE RELATIVE STRENGTHS OF VARIOUS
LOGICAL CALCULI; THE BIRTH AND EVOLUTION OF PROOF THEORY, AND THE
PARALLEL EMERGENCE OF HILBERT’S FINITIST STANDPOINT. THE LECTURE NOTES
ARE ACCOMPANIED BY NUMEROUS SUPPLEMENTARY DOCUMENTS, BOTH PUBLISHED AND
UNPUBLISHED, INCLUDING A COMPLETE VERSION OF BERNAYS’S
HABILITATIONSCHRIFT OF 1918, THE TEXT OF THE FIRST EDITION OF HILBERT
AND ACKERMANN’S GRUNDZUEGE DER THEORETISCHEN LOGIK (1928), AND SEVERAL
SHORTER LECTURES BY HILBERT FROM THE LATER 1920S. THESE DOCUMENTS, WHICH
PROVIDE THE BACKGROUND TO HILBERT AND BERNAYS’S MONUMENTAL GRUNDLAGEN
DER MATHEMATIK (1934, 1938), ARE ESSENTIAL FOR UNDERSTANDING THE
DEVELOPMENT OF MODERN MATHEMATICAL LOGIC, AND FOR RECONSTRUCTING THE
INTERACTIONS BETWEEN HILBERT, BERNAYS, BROUWER, AND WEYL IN THE
PHILOSOPHY OF MATHEMATICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hilbert, David 1862-1943 |
| author2 | Ewald, William 1954- Sieg, Wilfried 1945- |
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| author_GND | (DE-588)11855090X (DE-588)140022627 (DE-588)128682116 |
| author_facet | Hilbert, David 1862-1943 Ewald, William 1954- Sieg, Wilfried 1945- |
| author_role | aut |
| author_sort | Hilbert, David 1862-1943 |
| author_variant | d h dh |
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| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-540-69444-1 |
| era | Geschichte 1917-1933 gnd |
| era_facet | Geschichte 1917-1933 |
| format | Electronic eBook |
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| genre | 1\p (DE-588)4135952-5 Quelle gnd-content |
| genre_facet | Quelle |
| id | DE-604.BV041061677 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T11:58:36Z |
| institution | BVB |
| isbn | 9783540694441 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026038789 |
| oclc_num | 861288595 |
| open_access_boolean | |
| owner | DE-860 DE-355 DE-BY-UBR DE-20 DE-29 DE-898 DE-BY-UBR DE-19 DE-BY-UBM DE-M347 DE-92 DE-Aug4 DE-858 DE-634 DE-526 DE-703 DE-91 DE-BY-TUM DE-861 DE-573 DE-522 DE-859 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-706 DE-523 DE-1028 DE-1046 DE-739 DE-188 DE-83 DE-11 |
| owner_facet | DE-860 DE-355 DE-BY-UBR DE-20 DE-29 DE-898 DE-BY-UBR DE-19 DE-BY-UBM DE-M347 DE-92 DE-Aug4 DE-858 DE-634 DE-526 DE-703 DE-91 DE-BY-TUM DE-861 DE-573 DE-522 DE-859 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-706 DE-523 DE-1028 DE-1046 DE-739 DE-188 DE-83 DE-11 |
| physical | 1 Online-Ressource Illustrationen, Diagramme |
| psigel | ZDB-2-SNA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series | David Hilbert's lectures on the foundations of mathematics and physics, 1891 - 1933 |
| series2 | David Hilbert's lectures on the foundations of mathematics and physics, 1891 - 1933 |
| spellingShingle | Hilbert, David 1862-1943 David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 David Hilbert's lectures on the foundations of mathematics and physics, 1891 - 1933 Logik (DE-588)4036202-4 gnd Arithmetik (DE-588)4002919-0 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4036202-4 (DE-588)4002919-0 (DE-588)4037951-6 (DE-588)4037944-9 (DE-588)4135952-5 |
| title | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 |
| title_alt | Lectures on the foundations of arithmetic and logic 1917 - 1933 |
| title_auth | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 |
| title_exact_search | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 |
| title_full | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 William Ewald ; Wilfried Sieg [Editors] |
| title_fullStr | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 William Ewald ; Wilfried Sieg [Editors] |
| title_full_unstemmed | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 William Ewald ; Wilfried Sieg [Editors] |
| title_short | David Hilbert's lectures on the foundations of arithmetic and logic 1917 - 1933 |
| title_sort | david hilbert s lectures on the foundations of arithmetic and logic 1917 1933 |
| topic | Logik (DE-588)4036202-4 gnd Arithmetik (DE-588)4002919-0 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Logik Arithmetik Mathematische Logik Mathematik Quelle |
| url | https://doi.org/10.1007/978-3-540-69444-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026038789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026038789&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041061646 |
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