Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Matematik
  3. Matematikkens filosofi

Fixing Frege

Af: John P. Burgess Engelsk Hardback

Fixing Frege

Af: John P. Burgess Engelsk Hardback
Tjek vores konkurrenters priser

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.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 716
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 272
ISBN-13: 9780691122311
Indbinding: Hardback
Udgave:
ISBN-10: 0691122318
Kategori: Matematikkens filosofi
Udg. Dato: 25 jul 2005
Længde: 0mm
Bredde: 140mm
Højde: 216mm
Forlag: Princeton University Press
Oplagsdato: 25 jul 2005
Forfatter(e): John P. Burgess
Forfatter(e) John P. Burgess

Kategori Matematikkens filosofi

ISBN-13 9780691122311

Sprog Engelsk

Indbinding Hardback

Sider 272

Udgave

Længde 0mm

Bredde 140mm

Højde 216mm

Udg. Dato 25 jul 2005

Oplagsdato 25 jul 2005

Forlag Princeton University Press

Kategori sammenhænge