Logicism and its philosophical legacy
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書誌事項
Logicism and its philosophical legacy
Cambridge University Press, 2013
- : hardback
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注記
Bibliography: p. 255-265
Includes index
内容説明・目次
内容説明
The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject - Frege, Russell, Ramsey and Carnap - and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints.
目次
- Preface
- Introduction
- 1. Frege's analysis of arithmetical knowledge
- 2. Carnap's thesis, on extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy
- 3. Carnap's analysis of realism
- 4. Bertrand Russell's The Analysis of Matter: its historical context and contemporary interest with Michael Friedman
- 5. On the rational reconstruction of our theoretical knowledge
- 6. Three views of theoretical knowledge
- 7. Frege and the rigorization of analysis
- 8. The philosophical basis of our knowledge of number
- 9. The 1910 Principia's theory of functions and classes
- 10. Ramsey's extensional propositional functions.
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