How does triangle inequality affect navigation?

The triangle inequality acts as a fundamental constraint (d13 <= d12 + d23) ensuring that the distance between two worlds remains consistent, allowing for efficient path pruning.

What is a 'possible world' in this context?

A possible world is a specific configuration of state, seed, and invariants within a mathematical or logical possibility space, often used in modal logic.

What is an 'event' in world hopping?

An event is a logical rupture that occurs at specific sites near the 'void-trace' of a world, creating new possibilities and allowing for 'leaps' to distant states.

Can this be used for musical applications?

Yes, it specifically includes patterns for musical modulation, treating keys, modes, and scales as distinct worlds with defined transition paths.

Is this skill compatible with CLI workflows?

Yes, it provides dedicated CLI commands for hopping between worlds, visualizing accessibility graphs, and calculating shortest paths.

World Hopping Navigation

Name: World Hopping Navigation
Author: plurigrid

byplurigrid

•

데이터 과학 및 ML

Navigates complex mathematical and philosophical possibility spaces using Badiou-inspired ontology and triangle inequality constraints.

World Hopping is a specialized framework designed for traversing multi-dimensional state spaces, referred to as "possible worlds." By synthesizing Kripke semantics with Badiou’s event ontology, it provides a rigorous mathematical structure for managing transitions, identifying accessibility relations, and calculating distances between states using triangle inequality. This skill is particularly useful for developers working in complex system modeling, generative music composition, or advanced logic simulations where state transitions are governed by formal constraints and event-driven ruptures.

주요 기능

01Implement Badiou-inspired event ontology for state-space ruptures

02Calculate transition distances using weighted Euclidean metrics and Hamming distance

03Navigate multi-dimensional possible worlds using Kripke semantics

04Apply world-hopping logic to musical modulation and mathematical domains

05Enforce triangle inequality constraints for valid pathfinding and pruning

067 GitHub stars

사용 사례

01Implementing procedural world generation with consistent accessibility rules

02Designing complex state machines for generative art or music systems

03Modeling logical transitions in formal mathematical proof environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi world-hopping

For use in Claude.ai and ChatGPT

Download Skill