Undisprovable
Undisprovable is an English adjective pertaining to the validity of a hypothesis. It is the antonym of 'disprovable' and is used to express that the claims of a stated hypothesis are essentially beyond the empirical realm of the ability to be disproven. This word includes a "double-negative" and is commonly thought at first sight to be a synonym of "provable," but disection reveals that the negatives do not 'cancel out.'
Most undisprovable hypotheses are considered "thought-experiments" by intellectuals. One example is the Brains in Vats Thought Experiment, which illustrates the necessity for a word such as undisprovable to exist in a language by asserting that maybe the whole of personal experience is a simulation; an experiment conducted on a single brain in a laboratory in a "true reality" where scientists use electrodes attached directly to the brain to artificially convince a disembodied brain to believe it is experienceing "reality." Another example of an undisprovable hypothesis is the thought-experiment of Creationism.
Example of undisprovable's use in context:
According to Brian J. Foley, a professor at the Florida Atlantic School of Law in Jacksonville, "Our lawmakers are deluded, and are deluding us into believing, that excluding the courts from addressing prisoners' claims about their treatment, which includes claims that they have been tortured, will somehow help us in the so-called war on terror. It won't, and it can't. Instead, allegations about torture will be both unprovable and, importantly, undisprovable, which will give propaganda fodder to our enemies."