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> Equality does not exist. It is an abstract concept.

> [..]

> Inequality is here and always will be.

I won't comment on the incoherent and uninformed rambling between your opening and conclusion.

The incoherence here is only apparent. Logical negation of an abstract concept could be very real, which cannot be said about a reverse transformation.

Consider the similar negation of an abstract concept - non-zero.

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