Hoek, Daniel2022-01-162022-01-162021-12-06http://hdl.handle.net/10919/107679This paper presents and defends an argument that the continuum hypothesis is false, based on considerations about objective chance and an old theorem due to Banach and Kuratowski. More specifically, I argue that the probabilistic inductive methods standardly used in science presuppose that every proposition about the outcome of a chancy process has a certain chance between 0 and 1. I also argue in favour of the standard view that chances are countably additive. Since it is possible to randomly pick out a point on a continuum, for instance using a roulette wheel or by flipping a countable infinity of fair coins, it follows, given the axioms of ZFC, that there are many different cardinalities between countable infinity and the cardinality of the continuum.application/pdfenIn Copyrightmath.HOmath.LOArticle - Refereed2022-01-16Hoek, Daniel [0000-0002-5331-2409]