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Fixing Frege:

The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework...

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Bibliographische Detailangaben
1. Verfasser:	Burgess, John P. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton, NJ Princeton University Press [2018]
Schriftenreihe:	Princeton Monographs in Philosophy
Schlagworte:	Frege, Gottlob > 1848-1925 Logic, Symbolic and mathematical Widerspruchsfreiheit Logik
Online-Zugang:	FHA01 FKE01 FLA01 UPA01 UBG01 FAW01 FAB01 FCO01 Volltext
Zusammenfassung:	The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract mathematics. Over the past couple of decades, however, logicians and philosophers have discovered that much more is salvageable from the rubble of Frege's system than had previously been assumed. A variety of repaired systems have been proposed, each a consistent theory permitting the development of a significant portion of mathematics. This book surveys the assortment of methods put forth for fixing Frege's system, in an attempt to determine just how much of mathematics can be reconstructed in each. John Burgess considers every proposed fix, each with its distinctive philosophical advantages and drawbacks. These systems range from those barely able to reconstruct the rudiments of arithmetic to those that go well beyond the generally accepted axioms of set theory into the speculative realm of large cardinals. For the most part, Burgess finds that attempts to fix Frege do less than advertised to revive his system. This book will be the benchmark against which future analyses of the revival of Frege will be measured
Beschreibung:	Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018)
Beschreibung:	1 online resource
ISBN:	9780691187068
DOI:	10.1515/9780691187068

Internformat

MARC


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Datensatz im Suchindex

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spelling	Burgess, John P. Verfasser aut Fixing Frege John P. Burgess Princeton, NJ Princeton University Press [2018] © 2005 1 online resource txt rdacontent c rdamedia cr rdacarrier Princeton Monographs in Philosophy Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract mathematics. Over the past couple of decades, however, logicians and philosophers have discovered that much more is salvageable from the rubble of Frege's system than had previously been assumed. A variety of repaired systems have been proposed, each a consistent theory permitting the development of a significant portion of mathematics. This book surveys the assortment of methods put forth for fixing Frege's system, in an attempt to determine just how much of mathematics can be reconstructed in each. John Burgess considers every proposed fix, each with its distinctive philosophical advantages and drawbacks. These systems range from those barely able to reconstruct the rudiments of arithmetic to those that go well beyond the generally accepted axioms of set theory into the speculative realm of large cardinals. For the most part, Burgess finds that attempts to fix Frege do less than advertised to revive his system. This book will be the benchmark against which future analyses of the revival of Frege will be measured In English Frege, Gottlob 1848-1925 (DE-588)118535161 gnd rswk-swf Logic, Symbolic and mathematical Widerspruchsfreiheit (DE-588)4189803-5 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Frege, Gottlob 1848-1925 (DE-588)118535161 p Logik (DE-588)4036202-4 s Widerspruchsfreiheit (DE-588)4189803-5 s 1\p DE-604 https://doi.org/10.1515/9780691187068 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Burgess, John P. Fixing Frege Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Logic, Symbolic and mathematical Widerspruchsfreiheit (DE-588)4189803-5 gnd Logik (DE-588)4036202-4 gnd
subject_GND	(DE-588)118535161 (DE-588)4189803-5 (DE-588)4036202-4
title	Fixing Frege
title_auth	Fixing Frege
title_exact_search	Fixing Frege
title_full	Fixing Frege John P. Burgess
title_fullStr	Fixing Frege John P. Burgess
title_full_unstemmed	Fixing Frege John P. Burgess
title_short	Fixing Frege
title_sort	fixing frege
topic	Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Logic, Symbolic and mathematical Widerspruchsfreiheit (DE-588)4189803-5 gnd Logik (DE-588)4036202-4 gnd
topic_facet	Frege, Gottlob 1848-1925 Logic, Symbolic and mathematical Widerspruchsfreiheit Logik
url	https://doi.org/10.1515/9780691187068
work_keys_str_mv	AT burgessjohnp fixingfrege

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