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Fixing Frege

£40.00

Product description

very good condition, no real marks or wear 

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.

Item details

Author(s):
Burgess, John P.
Condition:
Used: very good
Dimensions:
215.9x139.7x22
EAN-13:
9780691122311
Format:
Hardback
ISBN-13:
9780691122311
Number of items:
1
Number of pages:
257
Publisher:
Princeton University Press

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About this item

very good condition, no real marks or wear 

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.

Author(s):
Burgess, John P.
Condition:
Used: very good
Dimensions:
215.9x139.7x22
EAN-13:
9780691122311
Format:
Hardback
ISBN-13:
9780691122311
Number of items:
1
Number of pages:
257
Publisher:
Princeton University Press

Delivery & returns

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This item will be dispatched to UK addresses via second class post within 7 working days of receipt of your order. Standard UK delivery is currently free, no matter how many items you have in your basket. Any additional courier charges will be applied at checkout as they vary depending on delivery address.

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