Доклад Паоло Манкосу "Three applications of Zermelo's theorem on part-whole"
18 октября в 18:00 состоится заседание научно-учебного семинара «Математическая логика и теория категорий».
Paolo Mancosu
Willis S. and Marion Slusser Professor of Philosophy, Department of Philosophy, UC 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.
2024, (with Guillaume Massas), "Totality, Regularity and Cardinality in Probability Theory", Philosophy of Science, 91, 721–740.