Paolo Mancosu: Three applications of Zermelo's theorem on part-whole

Organized by the Centre for Science, Technology and Society Studies, Institute of Philosophy, CAS

Paolo Mancosu
(University of California, Berkeley)

Detailed information

Paolo Mancosu (Willis and Marion Slusser Professor of Philosophy, University of California, Berkeley): Three applications of Zermelo's theorem on part-whole

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.

2025, (with Guillaume Massas), Totality, Regularity and Cardinality in Probability Theory, Philosophy of Science, 91, 721–740.