Formalize Buber's I-Thou, I-It, We triad using category theory and HoTT syntax.
npx skills add https://github.com/plurigrid/asi --skill buberian-relations
Please help me install this Agent Skill. Skill: buberian-relations Source: https://github.com/plurigrid/asi/tree/main/skills/buberian-relations Command: npx skills add https://github.com/plurigrid/asi --skill buberian-relations
Formalizes Martin Buber's relational philosophy through category theory, HoTT, and condensed mathematics, mapping to GF(3) conservation.
Define the three relations and verify they maintain GF(3) balance across triads.
High-intent search queries and answers about installing and using this skill.
Category theory formalizes Martin Buber's I-Thou, I-It, and We relations by mapping I-Thou as invertible isomorphisms, I-It as non-invertible morphisms, and We as colimits, enabling rigorous mathematical representation of relational structures within HoTT and condensed mathematics frameworks.
I-Thou relations are formalized as invertible isomorphisms—symmetric, bidirectional encounters—while I-It relations are non-invertible morphisms representing subject-to-object treatment, reflecting Buber's philosophical distinction between authentic encounter and instrumental objectification.
We-relations are represented as colimits in category theory, capturing how multiple I-Thou and I-It relations aggregate and coordinate to form emergent community structures, preserving relational energy conservation via GF(3) triadic invariants.
Yes. HoTT-inspired identity types and transport enable code-ready representations in languages like Haskell and Agda, formalizing how relational states transform while maintaining the structural guarantees of I-Thou isomorphisms and We colimits across computational scenarios.
GF(3) triadic invariants—values in the field with three elements—ensure relational energy conservation across the three-relations triad, providing algebraic balance constraints that verify encounter, objectification, and community scenarios maintain coherent relational states.
Define the three relations and check that morphisms between I-Thou, I-It, and We states preserve GF(3) conservation laws, confirming that scenario analyses of encounters and objectification satisfy the underlying triadic invariants built into the category-theoretic model.
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