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The axiom of identity states that everything is what it is, that objects obey their basic nature, an apple is an apple, A is A. It is the fundamental rule of logic and is a prerequisite to the certainty of knowledge.

Further Reading

Metaphysics Topics
Axioms: Existence, Consciousness, IdentityCorollary: Causality, Primacy of Existence
Reality: Primacy of Existence, Existents, the Metaphysically Given versus the Man Made