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Dialetheism is the view that some contradictions (i.e. p and not-p) are true. The argument for this is based on the liar’s paradox:
This sentence is false.
If you follow the logic through, you get the conclusion that it is both true and false. It requires some changes to Frege-Russell-style classical logic to be coherent, but it allows one to solve almost all paradoxes in one philosophical move. For example, you can have naive set comprehension principles
Dialetheism is the view that some contradictions (i.e. p and not-p) are true. The argument for this is based on the liar’s paradox:
This sentence is false.
If you follow the logic through, you get the conclusion that it is both true and false. It requires some changes to Frege-Russell-style classical logic to be coherent, but it allows one to solve almost all paradoxes in one philosophical move. For example, you can have naive set comprehension principles