The Theory of Anything

Episode 145: Pascal’s Wager and Probability Theory

August 18, 2026·1h 41m
Episode Description from the Publisher

This week Bruce takes a deep dive into Pascal’s Wager. If there is even a small chance that God exists, and believing could lead to an infinite reward while disbelief risks an infinite loss, then believing is the rational choice... right?Blaise Pascal was one of the founders of probability theory back in the 17th century. Even aside from the potentially problematic theological point his famous wager makes, it also raises important questions about probability theory, Bayes’ theorem, and even modern Bayesian epistemology. How do we handle situations where the potential payoff is enormous—or even infinite?Pascal's Wager is also the thread we pull that unravels Bayesian Epistemology, while also showing why Bayesian Reasoning is really part of Critical Rationalism.⁠⁠⁠⁠⁠⁠⁠⁠⁠Support us on Patreon⁠⁠⁠⁠⁠⁠⁠⁠

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