trivialism

Trivialism is a philosophical position asserting that all propositions are true. This means that there is no distinction between truth and falsehood, as every statement, including its negation, is considered true simultaneously. This view is often contrasted with the principle of non-contradiction, a fundamental tenet of classical logic which states that a proposition cannot be both true and false at the same time and in the same respect.

The core idea of trivialism is that the logical operators, particularly negation, do not function in the way typically understood. If all propositions are true, then the statement "p" is true, and the statement "not p" is also true. This leads to the conclusion that logical distinctions collapse. Trivialism is generally considered a highly counter-intuitive and problematic philosophical stance because it undermines the very possibility of meaningful discourse and knowledge. If everything is true, then asserting anything specific loses its significance, as the opposite is also true.

Arguments against trivialism often highlight its self-defeating nature. For instance, the statement "trivialism is true" would imply that "trivialism is false" is also true, creating a paradox. Philosophers who engage with trivialism typically do so to explore the boundaries of logical systems and the implications of rejecting fundamental logical principles. It is not a widely held or defended position in mainstream philosophy due to its radical implications for reasoning and truth.