Frege : a guide for the perplexed
著者
書誌事項
Frege : a guide for the perplexed
（Guides for the perplexed series）
Continuum, c2012
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注記
Includes bibliographical references (p. [233]-240) and indexes
内容説明・目次
内容説明
This is a guide to the thought and ideas of Gottlob Frege, one of the most important but also perplexing figures in the history of analytic philosophy. Gottlob Frege is regarded as one of the founders of modern logic and analytic philosophy, indeed as the greatest innovator in logic since Aristotle. His groundbreaking work identified many of the basic conceptions and distinctions that later came to dominate analytic philosophy. The literature on him is legion and ever-growing in complexity, representing a considerable challenge to the non-expert. The details of his logic, which have come into focus in recent research, are particularly difficult to grasp, although they are crucial to the development of his grand project, the reduction of arithmetic to logic, and the associated philosophical innovations. This book offers a lucid and accessible introduction to Frege's logic, taking the reader directly to the core of his philosophy, and ultimately to some of the most pertinent issues in contemporary philosophy of language, logic, mathematics, and the mind.
"Continuum's Guides for the Perplexed" are clear, concise and accessible introductions to thinkers, writers and subjects that students and readers can find especially challenging - or indeed downright bewildering. Concentrating specifically on what it is that makes the subject difficult to grasp, these books explain and explore key themes and ideas, guiding the reader towards a thorough understanding of demanding material.
目次
- 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.
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