The law that identifies that contradictions can't exist. I frequently use this formulation. A thing can't both be and not be at the same time and in the same respect.1 See LAW (FUNDAMENTAL, PHILOSOPHICAL).


Elaboration

As do the laws of reality, identity and causality, the law of non-contradiction provides a different vantage point on the fact that what is, is.

The concept "non-contradiction" ultimately can be defined only ostensively. See DEFINITION (OSTENSIVE).

Notes

1In my opinion, my law of non-contradiction benefits from inspiration provided by two sources: 1) Ayn Rand's discussion of this principle, which she presents in her novel, Atlas Shrugged, and 2) Aristotle's discussion of identity and non-contradiction.