İktisadın Formalist Aksiyomatik Bir Disipline Dönüşüm Sürecinde Hilbert – Bourbaki Yerine Poincare – Brouwer Yaklaşımı Benimsenebilir miydi?

Kaan İrfan Öğüt
Additional contact information
Kaan İrfan Öğüt: Bahçeşehir Üniversitesi, İİSBF Öğretim Üyesi

Yildiz Social Science Review, 2019, vol. 5, issue 2, 247-262

Abstract: To end the debate on the foundations of mathematics Hilbert attempted to axiomatize mathematics with formalist method. In the same period, physicists who reached to the limits of experimental progress applied the same method to quantum physics. In 1930’s Wald and von Neumann in 1950’s Debreu implemented similar techniques on economics through the General Equilibrium Theory. In this process both of the physics and economics began to use high abstraction level mathematical methods like topology and group theory instead of differential equations. In this study it is assumed that it was inevitable that the economics followed evolution in mathematics and physics. Also it is emphasised two approaches that limits and being alternative to Hilbert’s formalism respectively. First one is the computable mathematics, which was originated by the studies of Gödel and Turing that show limits of formalist axiomatic approach. Second one is the Brouwer’s intuitionistic philosophy that claims mathematics, created by time bounded human mind have to use an algorithmic method. In this framework for economics, potential of using high algorithmic content computable mathematics is discussed.

Keywords: Algorithmic and computable mathematics; formalist axiomatic approach; intuitionistic philosophy of mathematicsJournal: Yildiz Social Science Review (search for similar items in EconPapers)
JEL-codes: F00 F30 G00 G10 K00 K20 M00 M20 O10 (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
https://yssr.yildiz.edu.tr/storage/upload/pdfs/1628234400-tr.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:aye:journl:v:5:y:2019:i:2:p:247-262

DOI: 10.51803/yssr.600347

Access Statistics for this article

More articles in Yildiz Social Science Review from Yildiz Technical University Contact information at EDIRC.
Bibliographic data for series maintained by Murat DONDURAN ().