Pre-Formal Foundations: The Structural Instability of Universal Indifference
Abstract
Foundational theories in mathematics and physics typically begin bypostulating primitive entities, axioms, or laws. This paper takes a differentapproach. Rather than introducing new primitives, we analyze a limitingstructural condition: universal indifference. Universal indifference is understood as the condition in which no distinction has any effect and nodifferentiation is structurally sustained. We argue that universal indifferenceis not a stable structural condition. This claim is pre-formal and does notrely on representation, dynamics, time, observers, or axiomatic systems.The result isolates a minimal instability at the foundation of structure andmotivates the introduction of constraint and non-collapse in subsequentformal work.
Fields of Study & Subjects
Philosophy and Theoretical Science
Complex Systems and Dynamics
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 February 2026
- Document type
- Preprint