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The Introduction of Topology into Analytic Philosophy: Two Movements and a Coda

Fletcher, Samuel C. and Lackey, Nathan (2022) The Introduction of Topology into Analytic Philosophy: Two Movements and a Coda. [Preprint]

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Abstract

Both early analytic philosophy and the branch of mathematics now known as topology were gestated and born in the early part of the 20th century. It is not well recognized that there was early interaction between the communities practicing and developing these fields. We trace the history of how topological ideas entered into analytic philosophy through two migrations, an earlier one conceiving of topology geometrically and a later one conceiving of topology algebraically. This allows us to reassess the influence and significance of topological methods for philosophy, including the possible fruitfulness of a third conception of topology as a structure determining similarity.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Fletcher, Samuel C.scfletch@umn.edu0000-0002-9061-8976
Lackey, Nathanlacke039@umn.edu
Additional Information: Forthcoming in Synthese.
Keywords: topology; geometry; logic; similarity
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Depositing User: Prof. Samuel C. Fletcher
Date Deposited: 21 Apr 2022 16:19
Last Modified: 21 Apr 2022 16:19
Item ID: 20495
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
Date: 1 April 2022
URI: http://philsci-archive.pitt.edu/id/eprint/20495

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