Concept
Trivialism
Overview
Trivialism is the logical theory that all statements (also known as propositions) are true and, consequently, that all contradictions of the form "p and not p" (e.g. the ball is red and not red) are true. In accordance with this, a trivialist is a person who believes everything is true.
In classical logic, trivialism follows from a violation of the law of noncontradiction due to the principle of explosion. In philosophy, trivialism is considered by some to be the complete opposite of radical 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, dialetheism and paraconsistent logics.
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
Found by search and not yet checked by a person; they may only mention the idea in passing.
And the reasoning (speaking) soul, if it engages itself upon the sciences, its activity is called mind or intellect, and it is accordingly called speculative or theoretical mind: which I have already described. And if it engages itself upon overcoming blameworthy powers, that entice unto wrongdoing through their excess, unto folly through their abandonment, unto impetuosity through their agitation, unto cowardice…
Avicenna, A Compendium on the Soul
States what Trivialism is; the author is tied to Trivialism in the knowledge graph.
And the Greek name of this faculty is derived from the use of the term συνιέναι in learning: μανθάνειν and συνιέναι being often used as synonymous. The faculty called γνώμη,[40] in right of which we call men εὐγνώμονες, or say they have γνώμη, is “the right judgment of the equitable man.” A proof of which is that we most commonly say that the equitable man has a tendency to make allowance, and the making allowance…
Aristotle, The Nicomachean ethics of Aristotle
States what Trivialism is; the author is tied to Trivialism in the knowledge graph.
An attempt to treat this subject comprehensively would be a transgression of the bounds prescribed to this work, since it would necessitate the inquiry which, more than any other, is the grand question of what is called metaphysics, viz., What are the propositions which may reasonably be received without proof? That there must be some such propositions all are agreed, since there can not be an infinite series of…
John Stuart Mill, A System of Logic, Ratiocinative and Inductive
States what Trivialism is.
Related ideas
- First-order logic
- Avicenna
- Pyrrhonism
- Philosophy
- The Book of Healing
- If and only if
- Modal realism
- Truth value
- Philosophy East and West
- Anaxagoras
- Absurdity
- Law of noncontradiction
- Latin
- Liar paradox
- Epoché
- Metaphysics
- Natural language
- Nihilism
- Reductio ad absurdum
- Ataraxia
- State of affairs (philosophy)
- Metaphysics (Aristotle)
- Skepticism
- Nicholas of Cusa
Place in the tradition
Part of Dialetheism.