Mathematical Needs and Economic Interpretations
This paper aims at showing that the disconnection between formal structures and theoretical content in economic model building could lead to undesirable consequences. In this sense, linking formal and verbal contents by means of coherent and relevant interpretations is worth the effort. For it is a relatively simple way of helping to improve the usefulness of mathematical economic theorization. By way of illustration of these ideas, the paper discusses the interpretation which Arrow and Debreu themselves put on the inclusion of free goods in their proof of existence of a general equilibrium.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 26 (2007)
Issue (Month): 1 ()
|Contact details of provider:|| Postal: |
Fax: 01865 267 985
Web page: http://www.cpe.oupjournals.org/
|Order Information:||Web: http://www.oup.co.uk/journals|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Davis, John B, 1999. "Common Sense: A Middle Way between Formalism and Post-Structuralism?," Cambridge Journal of Economics, Oxford University Press, vol. 23(4), pages 503-15, July.
- Leontief, Wassily, 1971. "Theoretical Assumptions and Nonobserved Facts," American Economic Review, American Economic Association, vol. 61(1), pages 1-7, March.
- Creedy, John, 2002.
"Adam Smith and All That,"
Journal of the History of Economic Thought,
Cambridge University Press, vol. 24(04), pages 479-489, December.
- Chick, Victoria, 1998. "On Knowing One's Place: The Role of Formalism in Economics," Economic Journal, Royal Economic Society, vol. 108(451), pages 1859-69, November.
- Hart, Oliver D. & Kuhn, Harold W., 1975. "A proof of the existence of equilibrium without the free disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 335-343, December.
- Sheila C. Dow, 2003. "Understanding the relationship between mathematics and economics," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 547-560, July.
- Flavio Comim, 2002. "The Scottish Tradition in Economics and the Role of Common Sense in Adam Smith's Thought," Review of Political Economy, Taylor & Francis Journals, vol. 14(1), pages 91-114.
- Donald W. Katzner, 2003. "Why mathematics in economics?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 561-574, July.
- Paul Davidson, 2003. "Is "mathematical science" an oxymoron when used to describe economics?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 527-545, July.
- Coddington, Alan, 1975. "The Rationale of General Equilibrium Theory," Economic Inquiry, Western Economic Association International, vol. 13(4), pages 539-58, December.
- Comim, Flavio, 2000. "The Santa Fe approach to complexity: a Marshallian evaluation," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 25-43, July.
- Debreu, Gerard, 1991. "The Mathematization of Economic Theory," American Economic Review, American Economic Association, vol. 81(1), pages 1-7, March.
- repec:cup:cbooks:9780521335614 is not listed on IDEAS
- Douglas W. Hands, 1984. "The Role of Crucial Counterexamples in the Growth of Economic Knowledge: Two Case Studies in the Recent History of Economic Thought," History of Political Economy, Duke University Press, vol. 16(1), pages 59-67, Spring.
- Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation for Research in Economics, Yale University.
- Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July.
- Donald W. Katzner, 2002. "What are the questions?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(1), pages 51-68, January.
- Debreu, Gerard, 1986. "Theoretical Models: Mathematical Forms and Economic Content," Econometrica, Econometric Society, vol. 54(6), pages 1259-70, November.
- Chick, Victoria & Dow, Sheila C, 2001. "Formalism, Logic and Reality: A Keynesian Analysis," Cambridge Journal of Economics, Oxford University Press, vol. 25(6), pages 705-21, November.
- Backhouse, Roger E, 1998. "If Mathematics Is Informal, Then Perhaps We Should Accept That Economics Must Be Informal Too," Economic Journal, Royal Economic Society, vol. 108(451), pages 1848-58, November.
When requesting a correction, please mention this item's handle: RePEc:oup:copoec:v:26:y:2007:i:1:p:1-16. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Oxford University Press)or (Christopher F. Baum)
If references are entirely missing, you can add them using this form.