Mathematical structures that the relationality derivation produces and their connections to established mathematics.
Concepts
- Relational Heyting Algebra — constructive logic from step 12
- Relational Lambda Calculus — typed syntax from step 10
- Relational Closure Operators — self-maintenance at three scales
- Flow and Nucleus — commuting operators from steps 15-16
- Relational Modal Operators — necessity and possibility from Flow-Nucleus composites
- Relational Residuated Lattices — the recurring adjunction pattern
- Relational Sheaf Semantics — Profiles as sheaves over Filters
- Relational Coalgebras — geometric objects under the modal comonad
- Relational Directed Homotopy — directed geometry from Flow’s irreversibility
- Relational Physics — Observable, State, Evolution, Measurement from step 17
- Relational Infinity-Topos — the full derived mathematical structure
See all concepts for descriptions.