Credence—and Chance—Without Numbers (and with the Euclidean Property)
Monday | 11.23.20 | 06:00 pm
Prof. Tim Maudlin
Within the framework of the Bar-Hillel Colloquium for the History, Philosophy, and Sociology of Science
Various “paradoxes” concerning rational credence and objective chance have led philosophers to suggest that credence and chances should be represented by hyperreal or surreal numbers rather than real numbers. But the proper conclusion from those cases is both much simpler and more radical: credence and chance ought no to be represented by numbers at all. Prof. Maudlin will discuss the proper structure of credence and chance, and will explain how to implement results such as Bayes’ Theorem without the use of number fields.
Prof. Tim Maudlin, New York University