Objective and Subjective Probability in the Lottery Paradox

There are good reasons to be sceptical about any immediate wide ranging consequences if the probabilistic acceptance rule is rejected in the lottery paradox. I have argued that the belief of any one ticket losing amounts to an inductive argument with specific properties - it is an inference from the general to the particular, truth value of the conclusion in each instance is partly a matter of luck, the conclusion can not be tested further etc. If a certain kind of inference does not grant justified belief, it would be hasty to assume that no inference at all can grant justified belief. I have argued further that when the probability in the lottery case is compared to the probability in a case based on sense perception, it is objective probability compared to a subjective probability. Since probabilities are qualitatively different, what applies to one need not apply to the other. An objective probability may be insufficient to grant a justified belief, however, that does not reflect on subjective probability. Subjective probability may nevertheless grant the possibility of a justified belief. I have argued further that subjective probability applies to the lottery case as well. It may be somewhat higher than in a sense perception based case, or it may be 100%, but that does not compensate for the deficiency in the objective probability.…