Editing Liar paradox (section)

===Dialetheism===
[[Graham Priest]] and other logicians, including J. C. Beall and Bradley Armour-Garb, have proposed that the liar sentence should be considered to be both true and false, a point of view known as [[dialetheism]]. Dialetheism is the view that there are true contradictions. Dialetheism raises its own problems. Chief among these is that since dialetheism recognizes the liar paradox, an intrinsic contradiction, as being true, it must discard the long-recognized [[principle of explosion]], which asserts that any proposition can be deduced from a contradiction, unless the dialetheist is willing to accept trivialism – the view that ''all'' propositions are true. Since trivialism is an intuitively false view, dialetheists nearly always reject the explosion principle. Logics that reject it are called ''[[paraconsistent]]''.