Philosophy of mathematics and economics : image, context and perspective / Thomas A. Boylan and Paschal F. O'Gorman.

Includes bibliographical references and index.

Economics and mathematics : image, context and development -- Walras's programme : the Walras-Poincar's correspondence reassessed -- The formalisation of economics and debreu's philosophy of mathematics -- The axiomatic method in the foundations of mathematics : implications for economics -- Hahn and Kaldor on the neo-walrasian formalization of economics -- Rationality and conventions in economics and in mathematics -- The emergence of constructive and computable mathematics : new directions for the formalization of economics? -- Economics, mathematics and science : philosophical reflections -- Appendix -- Bibliography.

This book re-analyses the divergent rationales for mathematical economics by some of its principal architects.The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. 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.