Seminar cercetare DFT: „Identity and discernibility in mathematical structuralism”

Miercuri, 5 iunie, în cadrul Seminarului de cercetare al Departamentului de Filosofie Teoretică, Adrian Luduşan, de la Universitatea Babeş Bolyai, va susţine prezentarea intitulată „Identity and discernibility in mathematical structuralism”. Întâlnirea va avea loc în amfiteatrul Titu Maiorescu, începând cu ora 18.

Câteva cuvinte despre tema prezentării, transmise de invitatul nostru: „Recent discussions in the philosophy of mathematics have been revolving around the topics of identity and (in)discernibility of mathematical objects, especially within the ante-rem structuralist stance. In the first part of the talk, I will present several notions of discernibility along with some technical results concerning their relationships. Then, I will examine several principles of identity of indiscernibles (based on these notions of discernibility) by applying them to some non-rigid mathematical structures. In the second part, I will focus on one recent proposal of a notion of structural discernibility –articulated by (Menzel, 2018), which falls short of providing a viable principle of identity of indiscernibles for mathematical structuralism. I will highlight some difficulties of applying the notion to certain mathematical structures, and conclude with some remarks about naming objects in mathematical practice.”