Philosophy of mathematics and economics: image, context and perspective

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.

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

Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Introduction -- 1. Economics and mathematics: Image, context and development -- Introduction -- Political arithmetic: the emergence of quantification of socio-economic phenomena -- From political arithmetic to political economy: the Enlightenment and beyond -- The triumph of formalism: from Walras to Debreu and beyond -- Notes -- 2. Walras' programme: The Walras–Poincaré correspondence reassessed -- Introduction -- The Walrasian programme in the context of the moral sciences -- The Walras–Poincaré correspondence, Phase I: the mathematisation of economics -- The Walrasian–Poincaré correspondence, Phase II: the measurement of utility -- The Walras–Poincaré correspondence, Phase III: Poincaré's hierarchy of reservations -- Walras' 'Economics and Mechanics' in the context of his platonic-scientific realism -- Mathematical physics as a deductive a priori science: Walras' response to the Poincaré critique -- Conclusion: Walras' ontological lock-in -- Notes -- 3. The formalisation of economics and Debreu's philosophy of mathematics -- Introduction -- Core theses: a preliminary account -- Debreu on the contemporary period of economic formalism -- Debreu and the achievement of rigour -- Debreu and the achievement of generality -- Debreu, simplicity and existence proofs -- Debreu's global view of the mathematisation of economics -- Debreu's proof of the existence of equilibrium and the Poincaré malaise -- Debreu, Walras and the proof of the existence of equilibrium -- Notes -- 4. The axiomatic method in the foundations of mathematics: Implications for economics -- Introduction -- Rigour and axiomatisation -- The applied mathematical sciences and axiomatisation -- Debreu's formalist mathematisation of economic theory