Advanced Search
MyIDEAS: Login

On The Foundations Of Mathematical Economics

Contents:

Author Info

  • J. BARKLEY ROSSER

    ()
    (Department of Economics, James Madison University, MSC 0204, Harrisonburg, Virginia 22807, USA)

Abstract

Kumaraswamy Vela Velupillai74 presents a constructivist perspective on the foundations of mathematical economics, praising the views of Feynman in developing path integrals and Dirac in developing the delta function. He sees their approach as consistent with the Bishop constructive mathematics and considers its view on the Bolzano-Weierstrass, Hahn-Banach, and intermediate value theorems, and then the implications of these arguments for such "crown jewels" of mathematical economics as the existence of general equilibrium and the second welfare theorem. He also relates these ideas to the weakening of certain assumptions to allow for more general results as shown by Rosser51 in his extension of Gödel's incompleteness theorem in his opening section. This paper considers these arguments in reverse order, moving from the matters of economics applications to the broader issue of constructivist mathematics, concluding by considering the views of Rosser on these matters, drawing both on his writings and on personal conversations with him.

Download Info

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.
File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S1793005712400029
Download Restriction: Access to full text is restricted to subscribers.

File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S1793005712400029
Download Restriction: Access to full text is restricted to subscribers.

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.

Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

Volume (Year): 08 (2012)
Issue (Month): 01 ()
Pages: 53-72

as in new window
Handle: RePEc:wsi:nmncxx:v:08:y:2012:i:01:p:53-72

Contact details of provider:
Web page: http://www.worldscinet.com/nmnc/nmnc.shtml

Order Information:
Email:

Related research

Keywords: Constructivist mathematics; general equilibrium theory; non-standard analysis;

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:08:y:2012:i:01:p:53-72. 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: (Tai Tone Lim).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.