On Boundaries

Philosophical Boundaries IV: Sheaf-Theoretic Co-Constitution

This paper contains a few revisions on the boundary relatare avan-propos and formalism attempts, derived from new insights related to identity-as-process, replacing hierarchical axioms with sheaf-theoretic coherence and structured cospans. We then re-attempt to address some paradoxes treated in the previous papers “On Boundaries” by treating boundaries as contextual sections rather than absolute separators, formalizing how entities co-constitute one another through asymmetric interaction patterns. Empirical validations experiments are re-designed to include temporal attractors and relational scaling.

Philosophical Boundaries II: Formalising Interfaces

This article explores the possible formalism for understanding how boundaries operate across scales.

Philosophical Boundaries: Avant-Propos

This article explores the concept of boundaries, where I venture into depths of the role of boundaries and hierarchies in selves, and nature.