Model theory and the philosophy of mathematical practice: formalization without foundationalism
Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues f...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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Schlagworte: | |
Online-Zugang: | BSB01 UBA01 UBG01 UBM01 Volltext |
Zusammenfassung: | Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics |
Beschreibung: | Title from publisher's bibliographic system (viewed on 19 Jan 2018) |
Beschreibung: | 1 online resource (xi, 352 pages) |
DOI: | 10.1017/9781316987216 |
Internformat
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Datensatz im Suchindex
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author | Baldwin, John T. 1944- |
author_GND | (DE-588)128927690 |
author_facet | Baldwin, John T. 1944- |
author_role | aut |
author_sort | Baldwin, John T. 1944- |
author_variant | j t b jt jtb |
building | Verbundindex |
bvnumber | BV044864902 |
collection | ZDB-20-CBO |
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dewey-full | 511.3/4 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.3/4 |
dewey-search | 511.3/4 |
dewey-sort | 3511.3 14 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/9781316987216 |
format | Electronic eBook |
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id | DE-604.BV044864902 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T08:03:14Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030259475 |
oclc_num | 1028903065 |
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physical | 1 online resource (xi, 352 pages) |
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publishDate | 2018 |
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publisher | Cambridge University Press |
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spelling | Baldwin, John T. 1944- Verfasser (DE-588)128927690 aut Model theory and the philosophy of mathematical practice formalization without foundationalism John T. Baldwin Cambridge Cambridge University Press 2018 1 online resource (xi, 352 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 19 Jan 2018) Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics Model theory Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Formalisierung (DE-588)4123217-3 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s Formalisierung (DE-588)4123217-3 s Logik (DE-588)4036202-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, hardback 9781107189218 Erscheint auch als Druck-Ausgabe, paperback 9781316638835 https://doi.org/10.1017/9781316987216 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Baldwin, John T. 1944- Model theory and the philosophy of mathematical practice formalization without foundationalism Model theory Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd Modelltheorie (DE-588)4114617-7 gnd Formalisierung (DE-588)4123217-3 gnd |
subject_GND | (DE-588)4036202-4 (DE-588)4114617-7 (DE-588)4123217-3 |
title | Model theory and the philosophy of mathematical practice formalization without foundationalism |
title_auth | Model theory and the philosophy of mathematical practice formalization without foundationalism |
title_exact_search | Model theory and the philosophy of mathematical practice formalization without foundationalism |
title_full | Model theory and the philosophy of mathematical practice formalization without foundationalism John T. Baldwin |
title_fullStr | Model theory and the philosophy of mathematical practice formalization without foundationalism John T. Baldwin |
title_full_unstemmed | Model theory and the philosophy of mathematical practice formalization without foundationalism John T. Baldwin |
title_short | Model theory and the philosophy of mathematical practice |
title_sort | model theory and the philosophy of mathematical practice formalization without foundationalism |
title_sub | formalization without foundationalism |
topic | Model theory Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd Modelltheorie (DE-588)4114617-7 gnd Formalisierung (DE-588)4123217-3 gnd |
topic_facet | Model theory Logic, Symbolic and mathematical Logik Modelltheorie Formalisierung |
url | https://doi.org/10.1017/9781316987216 |
work_keys_str_mv | AT baldwinjohnt modeltheoryandthephilosophyofmathematicalpracticeformalizationwithoutfoundationalism |