Trivialism

Suggesting that the Resurrection is "really, the only central unifying belief of Christianity" is trivialism of the most ludicrous sort. ❋ Unknown (2009)

Dialetheism should be clearly distinguished from trivialism. ❋ Priest, Graham (2008)

A standard modern argument against dialetheism is to invoke the logical principle of Explosion, in virtue of which dialetheism would entail trivialism. ❋ Priest, Graham (2008)

Given that trivialism is absurd, which has been granted in this entry (though why this is so is not as easy a question as it might appear: see Priest, 2000, and Priest, 2006, Ch. 3), dialetheism must be rejected. ❋ Priest, Graham (2008)

Worse: many of them simply confuse dialetheism and trivialism. ❋ Priest, Graham (2008)

How one can do the former without being committed to the latter is one of the main topics in the dialetheic theory, since trivialism is considered by most philosophers theoretically repugnant, if anything is. ❋ Priest, Graham (2008)

Whereas a dialetheist had better embrace some paraconsistent logic or other in order to avoid trivialism, a paraconsistent logician need not be a dialetheist: she may subscribe to a non-explosive view of entailment for other reasons; for example, that, though the actual truth is consistent, entailment must preserve what holds in non-actual situations, some of which may be inconsistent; or that entailment must preserve more than just truth, e.g., information content. ❋ Priest, Graham (2008)

Interestingly enough, whereas Aristotle's defence of the LNC cheerfully slides between attacking dialetheism and trivialism (that is, between attacking the claim that some contradictions are true, and the one that all contradictions are), Aristotelian syllogistic ” the first formally articulated logic in Western philosophy ” is not explosive. ❋ Priest, Graham (2008)

In the rest of this article, 1) we will start by explaining the connection between dialetheism and other important related concepts, such as the ones of trivialism and paraconsistency. ❋ Priest, Graham (2008)