Priest on dialetheism: examination of some of his motivations and arguments

Dialetheism is the view that some (and not all) contradictions are true. Since in classical logic the principle of impossibility of contradiction (the Law of Non-Contradiction, i.e., LNC) is widely accepted, the challenge between dialetheism and classical logic surely occurs. In this paper we have tried to explain the main problem of dialetheim and also examined Graham Priest’s arguments against LNC and his advocating to paraconsistent logic. Accordingly, Priest’s examples of dialetheic propositions in some systems such as Law, Natual and Formal Languages and Actual world are examined and criticized. The result is that if Priest’s argument be sound dialetheism may be acceptable. Dialetheism is the view that some (and not all) contradictions are true. Since in classical logic the principle of impossibility of contradiction (the Law of Non-Contradiction, i.e., LNC) is widely accepted, the challenge between dialetheism and classical logic surely occurs. In this paper we have tried to explain the main problem of dialetheim and also examined Graham Priest’s arguments against LNC and his advocating to paraconsistent logic. Accordingly, Priest’s examples of dialetheic propositions in some systems such as Law, Natual and Formal Languages and Actual world are examined and criticized. The result is that if Priest’s argument be sound dialetheism may be acceptable.