The Logic of Concept Expansion
The Logic of Concept Expansion
This book studies the important issue of the possibility of conceptual change--a possibility traditionally denied by logicians--from the perspective of philosophy of mathematics. The author also looks at aspects of language, and his conclusions have implications for a theory of concepts, truth and thought. The book will appeal to readers in the philosophy of mathematics, logic, and the philosophy of mind and language.
- An innovative study that has a contribution to almost every discussion in philosophy of logic, language and mathematics
- Analyzes the views of Kant, Wittgenstein, Godel, and others, paying special attention to Frege
- Will be of interest to a wide range of readers from philosophers to logicians, mathematicians, linguists, and cognitive scientists
Product details
December 2007Paperback
9780521041058
196 pages
229 × 152 × 11 mm
0.3kg
1 b/w illus.
Available
Table of Contents
- Preface
- Acknowledgements
- Introduction
- 1. Historical background
- 2. Frege's opposition
- 3. The grammar of constraints
- 4. Expansions as rational procedures
- 5. Implications for concepts
- 6. From words to objects
- 7. Gödel's argument
- 8. Implications for thoughts
- 9. 'I was led astray by language'
- Epilogue. How do we go on from here?
- References
- Index.
