concept
active
concept:category-theoryCategory Theory
Fundamental mathematical tool; poset-as-category provides simple instances of categorical notions like products and adjunctions.
Neighborhood — ranked by edge-count
Papers (2)
paper
Thinkers (1)
thinker
- Susumu Inuistudies
Frameworks (1)
framework
- Linear Map (a ⊸ b)implementsSemantic domain for linear transformations; denotation as actual linear function; Category instance generated from homomorphism principle.
Communities (1)
community
- Compositional Semanticsmembers_of
Concepts (4)
concept
- Fundamental structure: a set with a reflexive, antisymmetric, transitive relation.
- Linear Transformations (a :( b)implements
- Terminal Objectassociated_withCategory-theoretic analogue of ātman; its non-existence in the phenomenal category elucidates non-self.
- Yoneda Lemmaassociated_withCategory-theoretic theorem showing an object is fully determined by its relational profile; mathematical echo of dependent origination.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Bennett's multi-level formal account of representation as a stack of abstraction layers, applied to representational time.
- The theory of welfare that there is a plurality of welfare goods, some independent of pro-attitudes.
- Theory that brains are predictive machines minimizing prediction error.
- The class of explanations from the Santa Fe Institute tradition, including attractor dynamics and emergent order, evaluated as insufficient to fully explain the appearance of living structure
- René Thom's mathematical framework describing discontinuous structural transitions; cited to show that even catastrophes preserve underlying wholeness smoothly
- Psychological theory of insight; complemented by the normative active inference account
- Cognitive capacity attributed to humans and animals; referenced as basis for mentalism intuitions.
- Sloman's framework describing biological evolution and development as using fundamental and derived construction kits (FCK and DCK) to assemble complex mechanisms.