remarks : my understanding about category theory is still at the level of seeing this as a fancy way to tell others that “if 2 things shared the similar structure; how their parts related within each thing, we can tried applied the domain from one to another”. so, take these notes as a grain of salt.

from gemini:

• https://g.co/gemini/share/cb444ada1618
• category_theory being used to map the “morphisms of interaction” across physics, computer science, biology, cognitive science, etc.
• Approaches

1. The “Rosetta Stone” of Category Theory (John Baez)
   1. Physics, Topology, Logic and Computation: A Rosetta Stone by mathematical physicist John Baez.
   2. monoidal_category
2. ologs (Ontology Logs)
   1. David Spivak
   2. knowledge_graph but underlying_principle
3. Categorical Systems Theory & Compositionality
   1. categorical_system_theory
      1. https://csl4d.wordpress.com/2022/08/13/luhmanns-systems-theory/
      2. https://publish.obsidian.md/manuel/Wiki/Mathematics/Category+Theory/Categorical+Systems+Theory
   2. compositionality
      1. behaviors = parts + rules (morphism)
4. The Free Energy Principle (Karl Friston)
   1. the_free_energy_principle
   2. Not strictly category theory but it still a mapping of interactions between underlying_principles

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created on: Sun May 10 2026