What I learned today

GENERATIVE RELATIONAL MATHEMATICSΩ Table of Contents Front Matter Preface — Why Mathematics Needs Construction Ancestry From Mathematical Departments to Generative Relational Mathematics GRMΩ and the ORSIΩ/GMEGΩ Architecture Scope: Mathematics as Source Formation, Compression, Specialization, and Reconstruction How to Read the Relational Architecture Notation and Symbolic Conventions Source, Representation, Discriminator, Carrier, and Coordinate Architecture ≠ Law ≠ Instance ≠ Constructor ≠ Artifact ≠ Capability ≠ Certificate Native Arity and Higher Compatibility Compression, Quotient, Fiber, Residue, Counterkernel, and Liftback Epistemic Scope, Quantifier Scope, and Globalization The Status of Conventional Mathematical Disciplines What GRMΩ Does Not Claim Rehydration and Implementation Conventions PART I — THE GENERATIVE RELATIONAL THESIS 1. Mathematics as Specialized Compression 1.1 The inherited departmental decomposition 1.2 Arithmetic, algebra, geometry, analysis, and logic as mat...