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Truth and the liar paradox

Published 28 Dec 2011 in math.HO and math.LO | (1112.6127v1)

Abstract: We analyze the informal notion of truth and conclude that it can be formalized in essentially two distinct ways: constructively, in terms of provability, or classically, as a hierarchy of concepts which satisfy Tarski's biconditional in limited settings. This leads to a complete resolution of the liar paradox.

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