The Counter-Induction Fallacy occurs when a conclusion is thought to be supported by the opposite of what inductive reasoning would suggest. While you cannot positively prove something by inductive reasoning, it is irrational to become dogmatic about something when all the inductive evidence is against it.
"Although the Universe and all life appear to be designed, we must resist the temptation to think that they are, since these things all came into being by natural processes."
"Although we know that no energy or matter is created or destroyed, at one time there was nothing. Nothing became compacted very small, smaller than a period on the end of a sentence. Then it exploded and became everything. This is science."