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An Introduction to Topology

The Monist 79 (1):21-33 (1996)

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  1. Towards a topological philosophy.Bartłomiej Skowron, Janusz Kaczmarek & Krzysztof Wójtowicz - 2023 - Metaphilosophy 54 (5):679-696.
    This article examines the use of mathematical concepts in philosophy, focusing on topology, which may be viewed as a modern supplement to geometry. We show that Plato and Parmenides were already employing geometric ideas in their research, and discuss three examples of the application of topology to philosophical problems: the first concerns the analysis of the Cartesian distinction between res extensa and res cogitans, the second the ontology of possible worlds of Wittgenstein's Tractatus, and the third Leibniz's monadology. We also (...)
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  • The introduction of topology into analytic philosophy: two movements and a coda.Samuel C. Fletcher & Nathan Lackey - 2022 - Synthese 200 (3):1-34.
    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 (...)
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