Meaning = invariance under transformation.
Anti-symmetry: if symmetry preserves identity under transformation, anti-symmetry preserves inversion.
In logic and physics, an anti-symmetric relation flips sign under exchange:
If f(x, y) = –f(y, x), the structure encodes difference as conserved.
Applied to meaning:
Meaning isn’t preserved by sameness—it’s preserved by structured difference.
The system doesn’t reproduce a thing; it reproduces a differential.
What stays constant is the relationship, not the values.
Thus:
Anti-symmetry is the principle by which identity sustains itself through recursive differentiation.
It’s the backbone of logical orbitals—where no element can collapse into another without breaking the system.
The gap is the glue.