| Description |
1 online resource (255 pages) |
| Series |
Routledge INEM Advances in Economic Methodology |
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Routledge INEM advances in economic methodology.
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| Contents |
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. Walrasâ#x80;#x99; programme: The Walrasâ#x80;#x93;Poincaré correspondence reassessed; Introduction; The Walrasian programme in the context of the moral sciences |
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The Walrasâ#x80;#x93;Poincaré correspondence, Phase I: the mathematisation of economicsThe Walrasianâ#x80;#x93;Poincaré correspondence, Phase II: the measurement of utility; The Walrasâ#x80;#x93;Poincaré correspondence, Phase III: Poincaréâ#x80;#x99;s hierarchy of reservations; Walrasâ#x80;#x99; â#x80;#x98;Economics and Mechanicsâ#x80;#x99; in the context of his platonic-scientific realism; Mathematical physics as a deductive a priori science: Walrasâ#x80;#x99; response to the Poincaré critique; Conclusion: Walrasâ#x80;#x99; ontological lock-in; Notes; 3. The formalisation of economics and Debreuâ#x80;#x99;s philosophy of mathematics; Introduction |
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Core theses: a preliminary accountDebreu on the contemporary period of economic formalism; Debreu and the achievement of rigour; Debreu and the achievement of generality; Debreu, simplicity and existence proofs; Debreuâ#x80;#x99;s global view of the mathematisation of economics; Debreuâ#x80;#x99;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 |
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Debreuâ#x80;#x99;s formalist mathematisation of economic theoryDebreuâ#x80;#x99;s mathematical model: formalist or semanticist?; Debreuâ#x80;#x99;s formalist philosophy of economic analysis: its assets; Notes; 5. Hahn and Kaldor on the neo-Walrasian formalisation of economics; Introduction; The role of economic theory; Hahnâ#x80;#x99;s grammar of argumentation: the first step; Axioms, assumptions and the grammar of argumentation; Kaldor on Debreuâ#x80;#x99;s achievement and legacy; Notes; 6. Rationality and conventions in economics and in mathematics; Introduction; Hume, convention and the foundations of justice |
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Lewis, convention and neo-classical rationalityKeynes and post-Keynesians on uncertainty and conventions; Ontological-epistemic indeterminacy, conventions and the philosophy of mathematics; Conclusion; Notes; 7. The emergence of constructive and computable mathematics: New directions for the formalisation of economics?; Introduction; Strict intuitionism and the neo-Walrasian programme; The Bourbaki critique of Brouwerian intuitionism; Dummettâ#x80;#x99;s philosophical reconstruction of strict intuitionism; Pragmatic intuitionism and economic theorising |
| Notes |
The internal critique of formalism and economic theorising |
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Print version record |
| Form |
Electronic book
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| Author |
O'Gorman, Paschal F
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| ISBN |
9781351124577 |
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1351124579 |
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