Evolutionary Foundations of Mathematics
We propose a simple cognitive model where qualitative and quantitative comparisons enable animals to identify objects, associate them with their properties held in memory and make naive inference. Simple notions like equivalence relations, order relations are used. We then show that such processes are at the root of human mathematical reasoning by showing that the elements of totally ordered sets satisfy the Peano axioms. The process through which children learn counting is then formalized. Finally association is modeled as a Markov process leading to a stationary distribution.
|Date of creation:||03 Mar 2011|
|Date of revision:||03 Mar 2011|
|Contact details of provider:|| Postal: Ciragan Caddesi No: 36. 34357 Besiktas Istanbul|
Phone: +90 212 227 44 80
Fax: +90 212 258 22 83
Web page: http://www.giam.gsu.edu.tr
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ris:giamwp:2011_003. 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: (Renginar Senses Dayangac)
If references are entirely missing, you can add them using this form.