Infinite Decisions and Rationally Negligible Probabilities ---------------------------------------------------------- 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.