NEW MATHS DEBT THEORY
New Maths Debt Theory Table of Contents 0. Definition 0.1 Mathematical Debt as Unpaid Obligation 0.2 Debt Distinguished from Error 0.3 Local Success versus Global Usability 0.4 The Purpose of Debt Theory 0.5 The Prevention of Theorem Laundering 1. Core Thesis 1.1 Mathematics Advances by Movement 1.2 Carrier Change as the Engine of Discovery 1.3 Every Productive Movement Creates Obligation 1.4 Paid Debt, Active Debt, Counterkernels, and New Theory 1.5 The Theorem as Statement plus Route plus Export Conditions 2. Scope of the Theory 2.1 Mathematical Transport across Domains 2.2 Epistemic Transport across Proof Media 2.3 Computational, Formal, Collaborative, and AI-Mediated Mathematics 2.4 Context-Sensitive Debt and Intended Use 2.5 Debt Theory as Proof-Ecology Architecture 3. Debt Sources 3.1 Transport Debt 3.2 Carrier Replacement Debt 3.3 Abstraction Debt 3.4 Analogy Debt 3.5 Compactness Debt 3.6 Asymptotic Debt 3.7 Formalization Debt 3.8 Computation Debt 3.9 Exposition Debt 3.10 Collab...