law of noncontradiction

Law of noncontradiction: "Nothing can both be and not be."

This is quite likely if, as Plato pointed out, the law of noncontradiction does not hold for changing things in the world.

This is the logical complement of the law of noncontradiction.

This violates the law of noncontradiction and, by extension, bivalence.

So Plato's law of noncontradiction is the empirically derived necessary starting point for all else he has to say.

Americans operate by the law of noncontradiction.

One difficulty in applying the law of noncontradiction is ambiguity in the propositions.

Then Socrates goes on to demonstrate the contrary of the commonly accepted part using the law of noncontradiction.

The traditional source of the law of noncontradiction is Aristotle's Metaphysics where he gives three different versions.

According to both Plato and Aristotle, Heraclitus was said to have denied the law of noncontradiction.

The study of first principles, such as the law of noncontradiction (logic), which Aristotle believed were the foundation of all other inquiries.

Bertrand Russell asserts a distinction between the "law of excluded middle" and the "law of noncontradiction".

Parmenides, employed an ontological version of the law of noncontradiction to prove that being is and to deny the void, change, and motion.

Rather than starting with experience, Aristotle begins a priori with the law of noncontradiction as the fundamental axiom of an analytic philosophical system.

The Persian philosopher, Ibn Sina (Avicenna), once wrote the following response to opponents of the law of noncontradiction:

The concept of "one true faith" is also based on the basic philosophical law known as the law of noncontradiction: two propositions that contradict each other cannot both be true.

The law of noncontradiction 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.

Personal subjective perceptions or judgments can only be said to be true at the same time in the same respect, in which case, the law of noncontradiction must be applicable to personal judgments.

The law of noncontradiction is found in ancient Indian logic as a meta-rule in the Shrauta Sutras, the grammar of Pāṇini, and the Brahma Sutras attributed to Vyasa.

It is inadequate as a criterion because it treats facts in an isolated fashion without true cohesion and integration; nevertheless it remains a necessary condition for the truth of any argument, owing to the law of noncontradiction.

The law of noncontradiction, along with its complement, the law of excluded middle (the third of the three classic laws of thought), are correlates of the law of identity (the first of the three laws).

Gottfried Wilhelm Leibniz claimed that the law of Identity, which he expresses as 'Everything is what it is,' is the first primitive truth of reason which is affirmative, and the law of noncontradiction, is the first negative truth (Nouv.