Infinite Decisions and Rationally Negligible Probabilities
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I have argued for a picture of decision theory centred on
the principle of Rationally Negligible Probabilities.
Isaacs argues against this picture on the grounds that it
has an untenable implication. I first examine whether my
view really has this implication; this involves a discussion
of the legitimacy or otherwise of infinite decisions
(decision situations in which an agent must decide upon a
choice from infinitely many available options). I then
examine whether the implication is really undesirable and
conclude that it is not.