Prologue: Earned Foundations
This Prologue situates Book I within the Panta Rhei series and introduces the foundational principle that governs the entire second edition: every mathematical tool is earned from five generators, seven axioms, and the progression operator ρ. We preview the Three Keys (Hyperfactorization, Prime Polarity, Split-Complex Holomorphy), the four-layer Kernel Hinge that structures the book’s seventy-nine chapters, and the self-enrichment ladder E₀ → E₁ → E₂ → E₃ that connects Book I to the rest of the series.