Three applications of Zermelo’s theorem on part-whole
speaker: Paolo Mancosu (University of California, Berkeley)abstract: The aim of the presentation is to give a general overview of the application of a result by Ernst Zermelo to three very different areas of investigation: abstraction principles in neologicism, the axiom of choice in second-order logic, and regularity properties in probability theory. The talk is based on three articles that have recently appeared (see bibliography).
Bibliography.
2019, (with Benjamin Siskind), Neologicist Foundations: Inconsistent abstraction principles and part-whole, in Mras, Gabriele M.; Weingartner, Paul; Ritter, Bernhard (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Wittgenstein Symposium. De Gruyter, Berlin, Munich, Boston, 2019, pp. 215–248. 2023, (with Benjamin Siskind and Stewart Shapiro), A note on choice principles in second-order logic, The Review of Symbolic Logic, 16(2), pp. 339-350. 2024, (with Guillaume Massas), Totality, Regularity and Cardinality in Probability Theory, Philosophy of Science, on line.
timetable:
Wed 11 Sep, 17:00 - 17:35, Aula Dini
<< Go back