What is "trivialism"

Trivialism \Triv"i*al*ism\, n. A trivial matter or method; a triviality.
--Carlyle.

n. 1 A trivial matter or method; a triviality. 2 (context logic English) The theory that every proposition and its negation is true.

Trivialism is the logical theory that all statements (also known as propositions) are true and that all contradictions of the form "p and not p" (e.g. the ball is red and not red) are true. In accordance to this, a trivialist is a person who believes everything is true.

In classical logic, trivialism is in direct violation of Aristotle's law of noncontradiction. In philosophy, trivialism may be considered by some to be the complete opposite of skepticism. Paraconsistent logics may use "the law of non-triviality" to abstain from trivialism in logical practices that involve true contradictions.

Theoretical arguments and anecdotes have been offered for trivialism to contrast it with theories such as modal realism (possibilism), dialetheism and paraconsistent logics.