Challenges to Classical Logic

Analyse the Liar paradox and the principle of explosion as a challenge for classical logic.

Evaluate paraconsistent logic and the dialetheist thesis that some contradictions are true.

Analyse the Sorites paradox and the challenge of vagueness for classical logic.

Evaluate supervaluationism as a response to the problem of vagueness.

Analyse the philosophical motivations for relevance logic and its critique of classical entailment.