A New Foundational Crisis in Mathematics, Is It Really Happening?

Džamonja, Mirna (2019) A New Foundational Crisis in Mathematics, Is It Really Happening? In: Reflections on the Foundations of Mathematics. Reflections on the Foundations of Mathematics . UNSPECIFIED, pp. 255-269. ISBN 978-3-030-15654-1

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The article reconsiders the position of the foundations of mathematics after the discovery of the homotopy type theory HoTT. Discussion that this discovery has generated in the community of mathematicians, philosophers and computer scientists might indicate a new crisis in the foundation of mathematics. By examining the mathematical facts behind HoTT and their relation with the existing foundations, we conclude that the present crisis is not one. We reiterate a pluralist vision of the foundations of mathematics. The article contains a short survey of the mathematical and historical background needed to understand the main tenets of the foundational issues.

Item Type: Book Section
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Logic
Depositing User: LivePure Connector
Date Deposited: 14 Oct 2021 01:17
Last Modified: 22 Oct 2022 23:55
URI: https://ueaeprints.uea.ac.uk/id/eprint/81710
DOI: 10.1007/978-3-030-15655-8_11

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