Matteo de Ceglie - Personal website

Research

Current research

I am mainly interested in questions regarding the philosophy of set theory (in particular the pluralism/anti-pluralism debate) and the foundations of mathematics (in particular the problem of axiom selection).

Currentyl, I am focussing my research on the problem of pluralism connected to the choice of abstraction principles in neologicism. Moreover, I am broadening my interests in the direction of set-theoretic potentialism and the modal set theories involved. From a more philosophical perspective, I am currently interested in the problem of epistemological disagreement in mathematics and its philosophy (especially in the foundations of mathematics), and the philosophy of mathematical practice more in general.

In addition to my interest in set theory and its philosophy, I have a strong interest in philosophical logic and the philosophy of mathematics more in general.

Collaborations

Since my interests lie in such an interdisciplanary subject, I attach great importance in collaborating with other researchers, to take advantage of their expertise and learn from more experienced philosophers. Currently, I am collaborating with Claudio Ternullo on matters regarding the set-theoretic multiverse and choiceless large cardinals, Simon Schmitt on axiom selection, Guido Tana on a epistemological problem of criterion reading of logical pluralism, and finally with Andrea Sereni on abstraction principles.

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