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

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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.