concept
active
concept:category-theory

Category Theory

Fundamental mathematical tool; poset-as-category provides simple instances of categorical notions like products and adjunctions.

Neighborhood — ranked by edge-count

Thinkers (1)

thinker

Frameworks (1)

framework
  • Semantic domain for linear transformations; denotation as actual linear function; Category instance generated from homomorphism principle.

Communities (1)

community

Concepts (4)

concept
  • Fundamental structure: a set with a reflexive, antisymmetric, transitive relation.
  • Terminal Object
    associated_with
    Category-theoretic analogue of ātman; its non-existence in the phenomenal category elucidates non-self.
  • Yoneda Lemma
    associated_with
    Category-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 edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

  • Stack Theoryframework0.790
    Bennett's multi-level formal account of representation as a stack of abstraction layers, applied to representational time.
  • Objective List Theoryframework0.766
    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.
  • Complexity Theoryframework0.760
    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
  • Catastrophe Theoryframework0.757
    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
  • Theory Of Mindconcept0.749
    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.