Relational EpistemologyNexologium

Functorial Mapping

Etymology: Category Theory (Eilenberg & Mac Lane, 1945)

PRIMARY DEFINITION

A mapping between categories that preserves objects, morphisms, and identity composition.

Relational Analysis & Epistemic Context

Functors allow formal statements in one discipline's category to be translated into another discipline's category while mathematically preserving logical validity.

CROSS-REFERENCED RELATIONAL CONCEPTS

Isomorphism

A bijective, structure-preserving mapping between two distinct mathematical or theoretical systems.

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Epistemic Bridge

A high-tension relational hyperedge connecting two sovereign domains through explicit mathematical or physical causality.

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