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Reviving the Philosophy of Geometry

Corfield, David Neil (2015) Reviving the Philosophy of Geometry. [Preprint]

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Abstract

This chapter argues that a revival of the philosophy of geometry is long overdue. Reconsidering writings from the first decades of the twentieth century, we find that a rich form of intellectual enquiry faded away for no good reason. The flourishing of modern geometry, especially that used in mathematical physics, calls us back to the task of understanding geometry in all its forms. With the resources of cohesive homotopy type theory available, we now have the chance to consider our deepest mathematical conceptions of space.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Corfield, David Neild.corfield@kent.ac.uk
Keywords: Geometry, homotopy type theory, cohesion
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Specific Sciences > Physics
Depositing User: Dr. David Corfield
Date Deposited: 12 Dec 2015 22:22
Last Modified: 12 Dec 2015 22:22
Item ID: 11809
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Specific Sciences > Physics
Date: 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11809

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