Published February 7, 2026 | Version v1
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Completability

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Being and becoming dissolve into completability classes within a coherence topology. This paper introduces the order of coherence — a third axis between the order of knowing and the order of being — and shows that the ancient opposition between Parmenides and Heraclitus resolves once completability is recognized as a topological property of transformation spaces rather than a temporal property of processes. Three structurally distinct modes of completion are identified: terminal, cyclical, and graceful (supervenient). Consequences are sketched for post-modern relativism, the ethics of diverse intelligences, and the relationship between actuality and possibility.

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