Frege's theorem
 Responsibility
 Richard G. Heck, Jr.
 Language
 English.
 Imprint
 Oxford [England] : Clarendon Press ; Oxford ; New York : Oxford University Press, 2011.
 Physical description
 xiv, 307 p. ; 24 cm.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

B3245 .F24 H43 2011  Unknown 
More options
Creators/Contributors
 Author/Creator
 Heck, Richard G.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [297]305) and index.
 Contents

 Preface  Editorial Notes  1. Frege's Theorem: An Overview  2. The Development of Arithmetic  3. Die Grundlagen der Arithmetik 8283  4. Frege's Principle  5. Julius Caesar and Basic Law V  6. The Julius Caesar Objection  7. Cardinality, Counting, and Equinumerosity  8. Syntactic Reductionism  9. The Existence of Abstract Objects  10. The Consistency of Contextual Definitions  11. Finitude and Hume's Principle  12. A Logic for Frege's Theorem  Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy. The Theorem is the central contribution of Gottlob Frege's formal work on arithmetic. It tells us that the axioms of arithmetic can be derived, purely logically, from a single principle: the number of these things is the same as the number of those things just in case these can be matched up onetoone with those. But that principle seems so utterly fundamental to thought about number that it might almost count as a definition of number. If so, Frege's Theorem shows that arithmetic follows, purely logically, from a near definition. As Crispin Wright was the first to make clear, that means that Frege's logicism, long thought dead, might yet be viable. Heck probes the philosophical significance of the Theorem, using it to launch and then guide a wideranging exploration of historical, philosophical, and technical issues in the philosophy of mathematics and logic, and of their connections with metaphysics, epistemology, the philosophy of language and mind, and even developmental psychology. The book begins with an overview that introduces the Theorem and the issues surrounding it, and explores how the essays that follow contribute to our understanding of those issues. There are also new postscripts to five of the essays, which discuss changes of mind, respond to published criticisms, and advance the discussion yet further.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2011
 ISBN
 9780199695645
 0199695644