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Item Details
Title: FIXING FREGE
By: John P. Burgess
Format: Hardback

List price: £75.00
Our price: £60.00
Discount:
20% off
You save: £15.00
ISBN 10: 0691122318
ISBN 13: 9780691122311
Availability: Usually dispatched within 1-3 weeks.
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Publisher: PRINCETON UNIVERSITY PRESS
Pub. date: 5 July, 2005
Series: Princeton Monographs in Philosophy
Pages: 272
Description: 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. This work considers every proposed fix, each with its distinctive philosophical advantages and drawbacks.
Synopsis: 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.
Illustrations: 12 tables.
Publication: US
Imprint: Princeton University Press
Prizes: Joint winner of Shoenfield Prize, Association for Symbolic Logic 2007
Returns: Returnable
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COMPUTABILITY AND LOGIC (PB)
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CONCISE CHEMISTRY OF THE ELEMENTS
CULTURES OF GOVERNANCE AND PEACE
CULTURES OF GOVERNANCE AND PEACE
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ENCOUNTERS WITH ORTHODOXY (PB)
FORMAL LOGIC (HB)
HOLY RUS' (HB)
IN WHOSE IMAGE? (PB)
INORGANIC REACTION MECHANISMS
INORGANIC REACTION MECHANISMS
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INORGANIC REACTION MECHANISMS (PB)
IONS IN SOLUTION
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LOGIC, LOGIC AND LOGIC (PB)
MATHEMATICS, MODELS, AND MODALITY
MATHEMATICS, MODELS, AND MODALITY (HB)
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MEMORANDUM ON THE BUDDHIST CAVES AT JUNNAR, AND, TRANSLATIONS OF THREE INSCRIPTIONS FROM BADAMI, PATTADKAL, AND AIHOLLI (CLASSIC REPRINT)
NOTES ON THE AMARAVATI STUPA (HB)
NOTES ON THE BAUDDHA ROCK-TEMPLES OF AJANTA, THEIR PAINTINGS AND SCULPTURES, AND ON THE PAINTINGS OF THE BAGH CAVES, MODERN BAUDDHA MYTHOLOGY, &C (CLASSIC REPRINT)
PHILOSOPHICAL LOGIC
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REPORT ON THE ELURA CAVE TEMPLES AND THE (PB)
RIGOR AND STRUCTURE
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SET THEORY
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TRUTH
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TRUTH (PB)
WHAT IS JUSTIFICATION ABOUT? (PB)
WHY SCRIPTURE MATTERS (PB)


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