Payoffs in will to believe cases

In thinking about James’ Will to Believe (in a blog post and a draft paper) I distinguish two kinds of cases.

In cases of ampliative risk, the evidence does not overwhelmingly speak for or against. So the determination to believe or not depends in part on the stakes involved. I’ve typically put this in terms of conditional values: the benefit of believing P if it is true, the cost of believing P if it is false, the cost of not believing P if it is true, and the benefit of not believing if it is false. Heather Douglas calls this values playing an indirect role.

Implicit in this is that believing P if it is false is a cost. And so on. Ending up with accurate beliefs is generally good, and ending up with inaccurate beliefs is bad. What’s at issue is not the general valence of certain outcomes but instead their intensity.

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