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

Research output: Chapter in Book/Report/Conference proceedingChapter


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.
Original languageEnglish
Title of host publicationReflections on the Foundations of Mathematics
Number of pages15
ISBN (Electronic)978-3-030-15655-8
Publication statusPublished - 12 Nov 2019

Publication series

NameReflections on the Foundations of Mathematics
ISSN (Print)0166-6991
ISSN (Electronic)2542-8292

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