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  1. Bog
  2. Matematik
  3. Matematikkens filosofi
Fixing Frege
Af: John P. Burgess
Engelsk
Bogcover for Fixing Frege af John P. Burgess, 9780691122311
Specifikationer
Sprog:
Engelsk
Sider:
272
ISBN-13:
9780691122311
Indbinding:
Hardback
ISBN-10:
0691122318
Kategori:
Udg. Dato:
25 jul 2005
Størrelse i cm:
21,6 x 14,0
Forlag:
Oplagsdato:
25 jul 2005
Forfatter(e):
Genre:

Fixing Frege

Af: John P. Burgess
Engelsk
Hardback 2005
Format:
Hardback
Bog beskrivelse

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.

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Specifikationer
Sprog:
Engelsk
Sider:
272
ISBN-13:
9780691122311
Indbinding:
Hardback
ISBN-10:
0691122318
Kategori:
Udg. Dato:
25 jul 2005
Størrelse i cm:
21,6 x 14,0
Forlag:
Oplagsdato:
25 jul 2005
Forfatter(e):
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