Tautology

Is the formal fallacy of analyzing an argument and inferring that, since it contains a fallacy, its conclusion must be false. It is entirely possible to make a claim that is false yet argue with logical coherency for that claim, just as is possible to make a claim that is true and justify it with various fallacies and poor arguments.

Example: Recognising that Amanda had committed a fallacy in arguing that we should eat healthy food because a nutritionist said it was popular, Alyse said we should therefore eat bacon double cheeseburgers every day.

The Fallacy Fallacy

A statement in which repitition of a word, idea, etc., in a way that is not necessary
"Dirty Den has made up his mind never to go back to EastEnders, finally severing his connection with the soap."
"...a group for one-parent single mothers."