On the Recursive Nature of Mathematics: An RCC Perspective

This essay explores mathematics through the lens of Recursive Coherence Collapse (RCC), a framework wherein systems resolve semantic dissonance (Φ) by recursively modelling coherence across a structured possibility space (Ψ). Within this model, mathematics is not merely a descriptive language of the physical world, but a recursively emergent attractor a stable structure of symbolic resolution. Mathematics is framed as the subdomain of Ψ most resistant to contradiction, and its key constants, symbols, and theorems are reinterpreted as recursive coherence events (Friston, 2010; Hofstadter, 1979).