Sergey Aleksandrovich Mazein

Generative Geometry of Closure: Recursive Generation of Dimension from Operational Primitives

This paper proposes a programme of generative geometry of closure, in which space, dimension, line, and surface are not assumed as a priori entities but reconstructed as stable configurations of distinction, neighborhood, traversal, and closure operations. Its point of departure...

Generative Analysis I

This work opens the analytical block of the generative programme. If topology answers the question where an object exists, and algebra answers how it interacts, analysis answers the question how it becomes: how a trajectory in the generated space M(ε, δ) stabilizes, accumulates,...

Generative Geometry: From Operational Set Theory to Emergent Space

We develop generative geometry, a formal framework in which space, metrics, and invariants are not postulated but emerge from the operational primitives of Operational Set Theory (OST) and a single ontological axiom of non-annihilable change. In Part I, we construct an ontologica...

Generative Geometry: From Operational Set Theory to Emergent Space

We develop generative geometry, a formal framework in which space, metrics, and invariants are not postulated but emerge from the operational primitives of Operational Set Theory (OST) and a single ontological axiom of non-annihilable change. In Part I, we construct an ontologica...

Combinatorial Ontology: Young Diagrams and Multinomial Weights in Operational Set Theory

Operational Set Theory (OST) derives the existence of a first-rank object as the empirical fact that its weight 𝜇 exceeds a significance threshold 𝜃 relative to a system of features 𝑃 . This, however, leaves open the level-transition problem: under what conditions does a stream o...

Combinatorial Ontology: Young Diagrams and Multinomial Weights in Operational Set Theory

Operational Set Theory (OST) derives the existence of a first-rank object as the empirical fact that its weight 𝜇 exceeds a significance threshold 𝜃 relative to a system of features 𝑃 . This, however, leaves open the level-transition problem: under what conditions does a stream o...