Frege: A Guide for the Perplexed

ISBN: 9780826487636 出版年：2012 页码：265 Edward Kanterian Bloomsbury Publishing

Introduction 1. The Historical Setting: Logic and Mathematics in the 19th Century 2. A Revolution in Logic: Begriffsschrift a. The aim of the calculus b. The analysis of judgement c. The formal system d. Some applications e. Open issues 3. Frege's Prolegomena: The Foundations of Arithmetic a. Aim and limitations of the argument b. Refuting empiricism and psychologism c. Platonism d. The definition of numbers as logical objects 4. Arithmetic as a System: The Basic Laws of Arithmetic a. The structure and role of a system b. Modifications of the calculus c. The formal system d. Applications to number theory e. Russell's paradox 5. Later Developments a. Thoughts and their composition: Logical Investigations b. The return to the geometrical foundations of arithmetic 6. Frege's Importance a. The early impact: Russell, Wittgenstein, Carnap b. Semantics c. Neo-logicism d. Unexplored issues 7. Conclusion: Reading Frege Appendix I. Suggested Exercises Appendix II. List of Formal Symbols Bibliography Index.