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Hard

The Liar Paradox and Self-Reference

#logic #paradoxes #semantics

Explore the logical inconsistencies arising from self-referential statements.

Provide a detailed analysis of the Liar Paradox ('This sentence is false'). Discuss its implications for classical logic systems, propose potential resolutions such as Tarski's hierarchy of languages, and evaluate how this paradox challenges the possibility of a universal, consistent language.