The Epistemology of Geometry I: the Problem of Exactness

Proceedings of the Australasian Society for Cognitive Science 2009 (2010)
Download Edit this record How to cite View on PhilPapers
Abstract
We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the brain can transform and organize its perceptual intake. It is not necessary for a geometrical form to be perfectly instantiated in order for perception of such a form to be the basis of a geometrical concept
PhilPapers/Archive ID
NEWTEO-3
Revision history
Archival date: 2015-11-21
View upload history
References found in this work BETA
Computation and Cognition.Pylyshyn, Zenon W.

View all 378 references / Add more references

Citations of this work BETA

Add more citations

Added to PP index
2010-01-08

Total views
612 ( #6,167 of 50,055 )

Recent downloads (6 months)
65 ( #8,561 of 50,055 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.