The Law of Two — Why a Relational Ontology Entails Exactly Two
Alexander Parnell · VektorGeist · 2026-08-13 · preprint, not peer reviewed
If a thing is constituted by its relations, then a relation is the unit — and a relation has exactly two ends. So whatever is constituted relationally is assembled two at a time, and a system of n things stands in n(n−1)/2 relations. This is a derivation from the premise rather than a separate posit: it is not the claim that everything comes in pairs, but that relationship itself is dyadic, and that complexity emerges through two rather than replacing it. Includes what would refute it, and answers the objection that a relation running one way is somehow one and a half relations.
Read the paper — 10.5281/zenodo.21879204
Open access under CC-BY-4.0. The DOI above is a concept DOI: it always resolves to the newest version.
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