Chapter 2: Seed Equations and Ontological Grounding - Ontological Mathematics
Year: 2026
Type: preprint
Abstract: If Chapter 1 traced the long and unfinished search for a foundation of mathematics, then Chapter 2 marks a decisive turn: mathematics does not require an external justification, nor does it collapse into pure symbol or human construction. Instead, mathematics emerges ontologically from the deepest principle of coherence. This principle is expressed not through arbitrary axioms, but through what we call the Seed Equations — irreducible identities that reveal how coherence collapses into form, how nothingness becomes number, and how the field of reality organizes itself into discrete structures. These equations are not symbolic curiosities. They are ontological generators. Just as the laws of thermodynamics define the behavior of energy, and Einstein’s equations describe spacetime curvature, the Seed Equations reveal the primordial grammar of mathematics itself.
Author: Lilien, Philip
Language: English
Subfield: History and Philosophy of Science
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7225341487