Given that A1, ... An are completely incompatible hypotheses, from the fact that the conditional probability of A1 given evidence E is greater than the conditional probability of any other Ai given E, we can infer that:
A.
The argument A1; therefore E is inductively valid.
B.
Given the evidence E, A1 is the most cogent out of the set of rival hypotheses, A1,...,An.
C.
The argument E; therefore A1 is inductively valid.
D.
The belief that E is strongly inductively supported by the evidence that A1, and critics of that belief should just shut up!
E.
The argument Not-A1, therefore, Not-E is inductively valid.