Logicism and its Philosophical Legacy
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.
- A rich collection of classic, revised and newly written essays by a leading commentator on twentieth-century analytic philosophy
- Ranges over the work of major figures including Frege, Russell, Ramsey and Carnap
- Relates the history of logicism to current concerns about the nature of mathematical and theoretical knowledge
Reviews & endorsements
'As a philosophy major at the University of Western Ontario in 1995 I was fortunate enough to enroll in Demopoulos' history of analytic philosophy class … The essays in this volume preserve the intensity and commitment to rigorous argumentation that I first encountered in that class twenty years ago. … I look forward to Demopoulos' next contribution to these important debates.' Chris Pincock, The Journal of Bertrand Russell Studies
Product details
January 2013Hardback
9781107029804
281 pages
235 × 158 × 20 mm
0.55kg
2 b/w illus.
Available
Table of Contents
- 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.