Well, absolutes only exist when you have axioms. "Logic reliably produces absolute truths from the hypothetical absolute truth of another statement" is an axiom in and of itself. You can't know anything to be absolutely true *except* in hypothetical worlds. However, all knowledge exists within hypothetical worlds. Without any assumptions, there is no knowledge.

Given A and A->B are absolutely true, it is absolutely true that B is true, if and only if this logical axiom holds true: for all X and Y, X and X->Y are absolutely true implies that Y is absolutely true.

If that rule does not hold true in the world, then the logic is useless. Logical rules are, themselves, axioms.