non-contradiction
Noun
Meaning
non-contradiction (plural non-contradictions)
Alternative form of noncontradiction
Examples
Aristotle explicitly formulated the law of the excluded middle and law of non-contradiction in justifying his system, although these laws cannot be expressed as judgments within the syllogistic framework.
The law of non-contradiction is merely an expression of the mutually exclusive aspect of that dichotomy, and the law of excluded middle, an expression of its jointly exhaustive aspect.
Aristotle's contribution The traditional source of the law of non-contradiction is Aristotle 's Metaphysics where he gives three different versions.
Heraclitus According to both Plato and Aristotle, citation Heraclitus was said to have denied the law of non-contradiction.
Plato's synthesis Plato 's version of the law of non-contradiction states that "The same thing clearly cannot act or be acted upon in the same part or in relation to the same thing at the same time, in contrary ways" (The Republic (436b)).
So Plato's law of non-contradiction is the empirically derived necessary starting point for all else he has to say.