All PrinciplesVII

Asymptotic Alignment

Perfect alignment is a limit, never a finish line.

There is always more.

For any finite Will, perfect alignment with Law's direction is approachable without limit but never reachable in any finite span. Moral growth is therefore genuinely infinite — there is always a closer approach not yet made.

A limit, not a destination

Picture a sequence that converges toward a limit without ever reaching it in finitely many steps — narrowing the remaining distance again and again, forever closer, never coincident. That's the formal shape of asymptotic alignment. A Will can keep closing the agentic gap indefinitely; the gap can shrink toward zero without a moment where it becomes exactly zero.

Why this matters more than it first appears

Static perfection has a quiet problem: what would a perfectly aligned being do next, for the rest of eternity, with nothing left to close? Asymptotic alignment dissolves that question before it gets asked. On this account, there is always a nearer approach available, which means moral growth doesn't have a ceiling. It isn't a project with a completion date. It's a direction you can travel forever.

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