Even if there is a deity, why should your god be the one?
This is a common response from the nonbelievers. I assert that it is a logical fallacy, not because the statement in itself is totally foolish, but because they put it forward (often implicitly) to defend their position. It is a logical fallacy because anybody can put forward that argument whenever there are more than two choices: You promote the value of science and scientific thinking, and that truth is attainable through science, etc., and I go: Well, religion A claims the same thing, so does religion B, so does that pseudo-science, etc., so why should science be true?
Obviously—at least, to me—this is a stupid argument. Anyhow, is there a name for this type of fallacy?
Respectfully, I do not understand why this question has turned into (almost) a religion discussion. I thought, my question was simple: It cannot be a rational argument to defend one's position with respect to “Why don't you accept preposition P” by stating that “Well, I choose preposition Q, because there are other propositions, P1, P2, P3, etc., Why should I choose yours?”
What I am saying is that even though “Why should I choose yours?” is a valid question, it does not carry any value with respect to defending choosing preposition Q.