Abstract

The semantic paradoxes are those arising from semantic notions, most notably that of truth. These include the Grelling-Nelson Paradox, Berry's Paradox, and Richard's Paradox. The most ancient and famous semantic paradox is the Liar, the simplest case of which is the sentence ‘This sentence is false.’ The Liar sentence appears to be true just in case it is false. A range of solutions have been proposed for this paradox and its variants, many of which seem promising and deliver insights in philosophical logic. However, no general solution is yet acknowledged.

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