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Transcendental arguments are partly non-empirical, often anti-skeptical arguments focusing on necessary enabling conditions either of coherent experience or the possession or employment of some kind of knowledge or cognitive ability, where the opponent is not in a position to question the fact of this experience, knowledge, or cognitive ability, and where the revealed preconditions include what the opponent questions.
Such arguments take as a premise some obvious fact about our mental life—such as some aspect of our knowledge, our experience, our beliefs, or our cognitive abilities—and add a claim that some other state of affairs is a necessary condition of the first one. Transcendental arguments most commonly have been deployed against a position denying the knowability of some extra-mental proposition, such as the existence of other minds or a material world. Thus these arguments characteristically center on a claim that, for some extra-mental proposition P, the indisputable truth of some general proposition Q about our mental life requires that P.
Eighteenth Century Prussian philosopher Immanuel Kant is usually credited with introducing the systematic use of the transcendental argument. His use of it included arguments aimed at refuting epistemic skepticism, as well as arguments with the more fundamental purpose of showing the legitimacy of the application of certain concepts—in particular those of substance and cause—to experience. Later scholars have developed a variety of general objections to the transcendental argument strategy. In response, some recent and contemporary philosophers have offered updated strategies similar in form to transcendental arguments, but with less controversial premises and/or more modest goals. (continue article)
— Adrian Bardon, Internet Encyclopedia of Philosophy