Fundamental

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Axioms are fundamental because every statement implies the truth of the Axioms. The Axiom of Existence is true because every statement shows that something exists (if nothing else, the statement exists). The Axiom of Identity is true because every statement shows the essence of identity (because every statement relies upon the notion of identity in order to make a statement). The Axiom of Consciousness is true because every statement is asserted by some conscious entity; the statement presupposes some conscious entity that asserted it. Whether the statement in question is true or false does not affect the Axiom's fundamental nature.