Site notice (in effect until August 22, 2026): As of July 2026, ArXe’s core vocabulary shifted from talking about “prime numbers” to talking about “arity” — the minimum number of elements a logical structure needs for a specific ontological behavior to be possible. A number’s primality still shows up in the formulas, but as an arithmetic consequence of that irreducible arity, not as the concept the theory invokes. For the same reason, the method formerly called PLO (“Prima Logical Ontology”) is now ALO (“Arity Logical Ontology”). The underlying theory hasn’t changed — only the vocabulary used to describe it.