The axiom of identity states that something exists. Without this axiom, “entities” could possibly exist, but they would have no identity and, for this reason, would likewise possess no properties. In such a reality, it follows that no perception or knowledge would be possible either; particularly, we could not form arguments against the axiom of identity: without identity, statements in general would be impossible because they, too, would have no identity—no statement. In Objectivism, this axiom is also designated as “A is A”: every identity has definite properties and no others.

« Back to Glossary Index