Richard G. Heck

Frege's Theorem

• Broschiertes Buch

Produktbeschreibung

Richard Heck explores a key idea in the work of the great philosopher/logician Gottlob Frege: that the axioms of arithmetic can be logically derived from a single principle. Heck uses the theorem to explore historical, philosophical, and technical issues in philosophy of mathematics and logic, relating them to key areas of contemporary philosophy.

Produktdetails

• Verlag: Oxford University Press(UK)
• Seitenzahl: 322
• Erscheinungstermin: 2. Oktober 2014
• Englisch
• Abmessung: 234mm x 156mm x 17mm
• Gewicht: 491g
• ISBN-13: 9780198708988
• ISBN-10: 019870898X
• Artikelnr.: 47869225

Autorenporträt

Richard G. Heck Jr is Romeo Elton Professor of Natural Theology at Brown University, where he has taught since 2005. He taught at Harvard University from 1991 to 2005 and was educated at the Massachusetts Institute of Technology, from which he received his PhD in 1991; at New College, Oxford (BPhil, 1987), where he was a Marshall Scholar; and at Duke University (BS, 1985). Professor Heck has worked on the philosophies of language, logic, mathematics, and mind, and is is one of the world's foremost experts on the philosophy of Gottlob Frege.

Inhaltsangabe

Preface
Editorial Notes
1: Frege's Theorem: An Overview
2: The Development of Arithmetic
3: Die Grundlagen der Arithmetik §§82-83
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