If one treated any proposition to which one could not assign a probability as equally likely to be true as to be false, the result would be an incoherent assignment of probabilities.
Incoherent(describing whether moral responsibility can exist)
Logically impossible or contradictory; something that cannot make sense or cannot exist at the same time as something else.
probability(as used in mathematics and logic)
A number between 0 and 1 that describes how likely something is to happen; 0.5 means 50% chance, 1 means certain, 0 means impossible.
proposition(Used in the context of a semantic theory sensitive to differences in subject matter.)
The content expressed by a sentence, individuated at least in part by the subject matter of the sentence and the contents of its subsentential expressions.
The question that immediately arises is whether a proposition that would undercut an inductive argument from evil if one knew it were true can undercut the argument if one is unable to assign any probability to the proposition’s being true, and if so, how. One thought might be that if one can assign no probability to a proposition, one should treat it as equally likely to be true as to be false. But propositions vary dramatically in logical form: some are such as might naturally be viewed as atomic, others are sweeping generalizations, others are complex conjunctions, and so on. If one trea...