Mathematical Models of Abstract Systems: Knowing abstract geometric forms

Download Edit this record How to cite View on PhilPapers
Abstract
Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics where models occupy a central role, namely homotopy theory. I argue that mathematicians introduce genuine models and I offer a rough classification of these models.
Categories
(categorize this paper)
PhilPapers/Archive ID
MARMMO-3
Revision history
Archival date: 2018-10-20
View upload history
References found in this work BETA
Homotopy Theoretic Models of Identity Types.Awodey, Steve & Warren, Michael A.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index
2018-10-20

Total views
61 ( #31,041 of 41,614 )

Recent downloads (6 months)
37 ( #16,972 of 41,614 )

How can I increase my downloads?

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