An argument from personal incredulity, happens when a participant in a discussion rejects an argument or evidence based on the fact that they do not believe it. This is very common in discussions where topics with strong personal ties are up for debate. Typical examples are religious people rejecting logic and science, instead insisting on that one must “feel” or “believe” rather than critically analyze the arguments and evidence.
A typical example from a discussion I had with a feminist recently:
BLL: Well, the gender wage gap has been largely debunked by mainstream economics, Warren Farrell tackles it in the “Myth of male power”, Thomas Sowell does the same in “Economic facts and fallacies”. Furthermore, there is a methodological error happening when the question is reduced to two variables: earnings and gender.
Feminist: The wage gap is 73 cents on the dollar, the statistics from the department of labor shows it.