An Elementary Peircean and Category-Theoretic Reading of Being and Event, Logics of Worlds, and The Immanence of Truths

Authors

  • Fernando Zalamea Departamento de Matemáticas, Universidad Nacional de Colombia

DOI:

https://doi.org/10.3986/fv.41.2.15

Keywords:

mathematics, philosophy, set theory, category theory, large cardinals, Peirce

Abstract

The article presents a reading of Badiou’s trilogy, L’Être et l’événement (1988), Logiques des mondes (2006), and L’Immanence des vérités (2018), and points out the mathematical connections with the works of Cohen, Grothendieck, and large cardinal specialists. A synthetic rendering of these connections is first offered, following precise passages in Badiou’s work, then a category-theoretic and Peircean perspective is explored in order to specify the many dialectics in the trilogy, and, finally, some open problems are proposed. 

Downloads

Download data is not yet available.

References

Badiou, Alain, L’Être et l’événement, Seuil, Paris 1988

— Court traité d’ontologie transitoire, Seuil, Paris 1998

— Logiques de mondes, Seuil, Paris 2006

— L’Immanence des vérités, Seuil, Paris 2018

Caramello, Olivia, Theories, Sites, Toposes, Oxford University Press, Oxford 2018

Florensky, Pavel, The Pillard and Ground of the Truth, Princeton University Press, Princeton

HoTT, Various Authors, Homotopy Type Theory, Univalent Foundations Project, Princeton

Peirce, Charles Sanders, “One, Two, Three: an evolutionist speculation [1886]”, in Writings:

A Chronological Edition, vol. 5., 300–301, Indiana University Press, Bloomington

Petitot, Jean, Per un nuovo illuminismo, Bompiani, Milano 2009

Zalamea, Fernando, “A Category-Theoretic Reading of Peirce’s System: Pragmaticism,

Continuity, and the Existential Graphs”, in New Essays on Peirce’s Mathematical Philosophy,

ed. Matthew Moore, 203–233, Open Court, Chicago 2010

— Peirce’s Logic of Continuity, Docent Press, Boston 2012

Downloads

Published

2020-12-31

How to Cite

Zalamea, F. (2020). An Elementary Peircean and Category-Theoretic Reading of Being and Event, Logics of Worlds, and The Immanence of Truths. Filozofski Vestnik, 41(2). https://doi.org/10.3986/fv.41.2.15

Issue

Vol. 41 No. 2 (2020): Thinking the Infinite Penser l’infini

Section

Large Cardinals and the Attributes of the Absolute

License

Authors guarantee that the work is their own original creation and does not infringe any statutory or common-law copyright or any proprietary right of any third party. In case of claims by third parties, authors commit their self to defend the interests of the publisher, and shall cover any potential costs.

More in: Submission chapter