Book contents
- Mathematics and Its Logics
- Mathematics and Its Logics
- Copyright page
- Contents
- Acknowledgements
- Introduction
- Part I Structuralism, Extendability, and Nominalism
- Part II Predicative Mathematics and Beyond
- 7 Predicative Foundations of Arithmetic
- 8 Challenges to Predicative Foundations of Arithmetic
- 8.1 Review
- 8.2 The Structuralist Standpoint and “Constructing the Natural Numbers”
- 8.3 Parsons’ Challenge
- 8.4 The Challenge of George and Velleman
- Appendix Realizing Dummett’s Approach in EFSC
- 9 Predicativism as a Philosophical Position
- 10 On the Gödel–Friedman Program
- Part III Logics of Mathematics
- Index
Appendix - Realizing Dummett’s Approach in EFSC
from 8 - Challenges to Predicative Foundations of Arithmetic
Published online by Cambridge University Press: 26 January 2021
- Mathematics and Its Logics
- Mathematics and Its Logics
- Copyright page
- Contents
- Acknowledgements
- Introduction
- Part I Structuralism, Extendability, and Nominalism
- Part II Predicative Mathematics and Beyond
- 7 Predicative Foundations of Arithmetic
- 8 Challenges to Predicative Foundations of Arithmetic
- 8.1 Review
- 8.2 The Structuralist Standpoint and “Constructing the Natural Numbers”
- 8.3 Parsons’ Challenge
- 8.4 The Challenge of George and Velleman
- Appendix Realizing Dummett’s Approach in EFSC
- 9 Predicativism as a Philosophical Position
- 10 On the Gödel–Friedman Program
- Part III Logics of Mathematics
- Index
Summary
- Type
- Chapter
- Information
- Mathematics and Its LogicsPhilosophical Essays, pp. 135 - 138Publisher: Cambridge University PressPrint publication year: 2021