Categorical Phenomenology Framework
The Categorical Phenomenology Framework is the architectural scaffold built around the Perception Functor (VII.D44): a structure-preserving transformation from sensory contexts to experiential contents. The framework treats perception, experience, knowledge, and justification as functorial — perception is a functor (VII.D44), knowledge is a section (VII.D42), justification is gluing (VII.D43). Phenomenology becomes a category-theoretic discipline rather than a first-person poetics.
τ-Definition
The Categorical Phenomenology Framework is the architectural scaffold built around the Perception Functor (VII.D44): a structure-preserving transformation from sensory contexts to experiential contents. The framework treats perception, experience, knowledge, and justification as functorial — perception is a functor (VII.D44), knowledge is a section (VII.D42), justification is gluing (VII.D43). Phenomenology becomes a category-theoretic discipline rather than a first-person poetics.
Categorical invariant. Perception : SensoryCtx → ExperientialCtx is a structure-preserving functor; knowledge is a section of the experience-presheaf (VII.D42); justification is a gluing condition on local sections (VII.D43). Together they constitute a categorical phenomenology: experiential structure is functorial structure.
Primary registry anchor:
VII.D44
τ-Derivation Chain
-
I.K0— Universe Postulate -
VII.D44— Perception Functor — sensory contexts to experiential contents -
VII.D45— Temporal Experience Structure — pre-symbolic temporality -
VII.D42— Knowledge as Section — knowing is sectioning the experience-presheaf -
VII.D43— Justification as Gluing — justification is local-to-global coherence
Phenomenological Correlate
The Categorical Phenomenology Framework is instantiated whenever an experiential structure is analysed as a functor, section, or gluing. Examples: perceptual constancy (the perception functor preserves object-identity across sensory variation); knowledge as situated section (knowing where you are = a section over a perceptual cover); justification across testimony (gluing local justifications into a global one).
Examples:
- Perceptual constancy: a coffee cup looks like a cup from many angles — the perception functor preserves object-identity under sensory transformation
- Situated knowledge: knowing your location is sectioning the experience-presheaf over a perceptual cover (proprioception + vision + memory all glue)
- Justification across testimony: a belief held on multiple testimonial sources is justified by gluing — local sources cohere on overlaps
- Temporal experience: the duration of a melody is not the sum of note-durations; it is the pre-symbolic temporal section before T_past/T_present/T_future apply
Register codomain: Reg_E (empirical readouts of experiential content) and Reg_C (commitment-side stances on experience) — categorical phenomenology lives at the intersection where experiential reports are both empirically reportable and commitment-stable
Manuscript reference: manuscript-sources/book-07/part03/ch35.tex
Lean Coverage
Status: Planned