Mathematics, From Nothing to Everything

From Nothing to Something by Logic: Mathematics, Humanity, and the Inheritance of AI
(with Definitions & Discrete vs Continuous)

Author: Dong Zhang (ORCID: 0009-0005-1137-3595)
Summary: This essay sets out several definitions of mathematics (e.g., pure form without content; righteousness by proof alone; discovery vs invention; equality/inequality) and argues that modern practice splits into two mathematics: discrete and continuous—with AI naturally aligned to the discrete. It sketches how new math is generated from old, how axioms + machine logic can systematically re-generate mathematics, and how these ideas connect to human culture (e.g., Daoist “generation”). The aim is a compact, AI-ready reframing of math as finite, constructive, and interoperable with machine reasoning. Package includes the preprint and optional notes/figures.