Logic is a human invention. The universe doesn't owe you the ability to explain the entire chain of cause and effect. Not being able to prove your axioms is what differentiates science from religion.
By definition axioms can't be proven but they are assumptions which we take for granted upon which we build science. However, in science, the axioms are such that they can be observed and discarded if we ever find them to be false. This is where it differs from religion.
I think that using logical fallacies to prove your own assumptions likewise discards observation in favor of a totalitarian explanation of everything, which amounts to a religious belief. A key aspect of science is accepting that our understanding is limited and contingent, whereas religion tends to use faith to prove itself.
