There is no fallacy
Logic does not determine if some "thing" is true, logic tries to determine veracity of statements. "Having doubt" about the truthfulness of certain statement is not a bad thing, it is in fact essential quality of philosophy, to doubt, check, and double check everything. "Reference points" or premises are indeed a sticking point, wrong premise would invalidate conclusion. This however is not a fallacy, just a fundamental property of the logic. If anything, this forces us to doubt even more, and validate even seemingly rock solid premises .
There is however certain rhetorical trick, often wrongly described as fallacy. This is loaded question . Loaded question has in itself (often false but always embarrassing) premise, and person answering the question implicitly confirms the premise. Example of such question would be "Have you stopped urinating in public ?" - even if the answer is "Yes" person answering the question implicitly admits that he previously did urinate in public . However, this is not a fallacy in strict sense, because formally we deal with the question, not with the conclusion.