Preliminaries

Ontology layers, BNS, Cantor pairing (IN3), ONMA definitions, axioms

This chapter groups foundational material referenced across TAoKE: ontology layers (from the PRPR preliminaries), the Bense Numbering System (BNS), and the Concept Numbering System on the IN3 side, including Leibniz characteristic numbers, Cantor’s pairing function, and characteristic Cantor numbers (CCNs).

• Ontology layers — canonical mirror of PRPR Preliminaries (same extract as under Multi-Layer Modeling (MLM)).
• BNS numbers — appendix from TAoKE — BNS Numbers; the extension links to an interactive BNS encoder/decoder.
• Cantor pairing function — canonical mirror of IN3 — Concept Numbering System (Leibniz numbers, Cantor pairing, CCN construction).
• Definitions — one page with concatenated canonical mirrors: ONMA — Definitions, O4Top, and Instantiation (Roh-HTML under theory/partials/).
• Axioms — canonical mirror of ONMA — Axioms.