Economic methodology has been dominated by developments in the philosophy of science. This book’s central thesis is that a great deal can be gained by refocusing attention on developments in the philosophy of mathematics, in particular those that took place over the course of the twentieth century.
In this book the authors argue that a close examination of the major developments in the philosophy of mathematics both deepens and enriches our understanding of the formalisation of economics, while also offering novel methods of critically evaluating the strengths and limitations of formalism in economics. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics.
Preface, Introduction, Chapter 1 Economics and Mathematics: Image, Context and Development, Chapter 2 Walras’s Programme: The Walras-Poincaré Correspondence Reassessed, Chapter 3 The Formalisation of Economics and Debreu’s Philosophy of Mathematics, Chapter 4 The Axiomatic Method in the Foundations of Mathematics: Implications for Economics, Chapter 5 Hahn and Kaldor on the Neo-Walrasian Formalization of Economics, Chapter 6 Rationality and Conventions in Economics and in Mathematics, Chapter 7 The Emergence of Constructive and Computable Mathematics: New Directions for the Formalization of Economics?, Chapter 8 Economics, Mathematics and Science: Philosophical Reflections, Appendix, Bibliography