An Unconstructivisable Paradox

A Counterexample to Tennant's Conjecture

Abstract

In 'A New Unified Account of Truth and Paradox', Neil Tennant makes the following conjecture: Paradoxes are never strictly classical; all of the classical paradoxes are constructivisable. In this paper, we will present a counterexample to Tennant's conjecture; there are classical paradoxes that cannot be constructivized.