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Doxastic dualists acknowledge both outright beliefs and credences, and they maintain that neither state is reducible to the other. This gives rise to the ‘Bayesian Challenge’, which is to explain why we need beliefs if we have credences already. On a popular dualist response to the Bayesian Challenge, we need beliefs to simplify our reasoning. I argue that this response fails because credences perform this simplifying function at least as well as beliefs do.

Beliefs don’t simplify our reasoning, credences do