What mathematical frameworks does this skill utilize?

The skill is built upon Lawvere's topos theory, Girard's linear logic, and algebraic geometry to provide a rigorous foundation for conceptual connections.

What is the Glass Bead Game Claude Code Skill?

It is an interdisciplinary synthesis tool that uses formal logic and category theory to map and connect concepts between mathematics, music, and philosophy.

How does the 'World Hopping' feature work?

World Hopping uses a Badiou-inspired distance metric to transition between different conceptual states while ensuring that essential structural 'truths' are preserved across the jump.

Can this be used for music composition?

Yes, it can be used to transpose mathematical structures into musical domains, such as converting modular arithmetic into harmonic progressions or spectral analysis.

Glass Bead Game Synthesis

Name: Glass Bead Game Synthesis
Author: plurigrid

byplurigrid

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学習とドキュメンテーション

Synthesizes complex connections between mathematics, music theory, and philosophy using formal category theory and ontological frameworks.

概要

The Glass Bead Game is a specialized synthesis engine inspired by Hermann Hesse and Alain Badiou, designed to facilitate 'world hopping' across diverse academic domains. It leverages topos theory, linear logic, and structural morphisms to map relationships between mathematical concepts, musical elements, and philosophical ontologies. By calculating distance metrics between these 'worlds,' the skill helps researchers and developers discover deep invariants and formal symmetries that bridge seemingly unrelated fields, providing a unique environment for interdisciplinary research and structural creativity.

主な機能

Resource-aware logic based on Girard's linear logic principles
Cross-domain mapping between category theory, musicology, and philosophy
Structural morphism preservation using Lawvere's topos theory
World hopping mechanics based on Badiou's triangle inequality
Formal distance metrics for calculating conceptual relationships
2 GitHub stars

ユースケース

Formalizing relationships between music theory and abstract algebra
Interdisciplinary research and conceptual brainstorming across abstract domains
Exploring ontological structures through automated world-transition simulations

概要

主な機能

Resource-aware logic based on Girard's linear logic principles
Cross-domain mapping between category theory, musicology, and philosophy
Structural morphism preservation using Lawvere's topos theory
World hopping mechanics based on Badiou's triangle inequality
Formal distance metrics for calculating conceptual relationships
2 GitHub stars

ユースケース

Formalizing relationships between music theory and abstract algebra
Interdisciplinary research and conceptual brainstorming across abstract domains
Exploring ontological structures through automated world-transition simulations