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Reed Kimble edited this page Nov 28, 2025 · 1 revision

Universal Number Set (UNS) — Wiki Home

Welcome to the official UNS Wiki, the central knowledge base for understanding the Universal Number Set, its mathematical foundations, its expression language, and its emerging ecosystem.

This wiki expands on the concepts introduced in the repository and provides deeper explanations, examples, and reference materials. If you're looking for how UNS works, why it works, or what you can do with it, you're in the right place.

🌌 What Is UNS?

The Universal Number Set (UNS) is an extended number system built on the idea that:

A number is not a single value, but a distribution of values across a universe of microstates.

From that simple principle emerges a rich structure involving:

  • distributed numeric functions
  • context-dependent readouts
  • dimensional equivalence
  • lifted operations
  • and formally defined novel values when classical math breaks down

UNS is both:

  • a mathematical framework, and
  • a formal expression language (.unse)

designed to explore numeric systems beyond the limits of classical number theory.

🧭 Start Here

If you're new to UNS, begin with these pages:

  • ▶ Introduction to UNS — The core ideas explained intuitively
  • ▶ The Universal Number Universe — Microstates, distributions, and normalization
  • ▶ Interpreting Numbers: States & Readout — How classical numbers emerge
  • ▶ Dimensional Equivalence — How UNS treats dimension as a viewpoint
  • ▶ Lifted Operations — Rebuilding arithmetic over distributed values
  • ▶ Novel Values — What UNS produces when classical math fails

These pages provide the conceptual foundation for everything else.

📘 Specifications & Reference

These wiki sections expand or mirror formal spec documents in the repo:

  • UNS RFC (Formal Specification)
  • Operator Extensions
  • UNS Grammar & Syntax Reference
  • The .unse File Format
  • Type System & Partiality
  • Axioms of UNS

Each page focuses on correctness, clarity, and formal definition.

🧪 Examples & Tutorials

Looking for practical demonstrations?

  • UNS by Example — Real .unse code samples
  • Step-by-Step Walkthroughs
  • Classical Problems in UNS
  • Working With Lifted Math Functions
  • Exploring Novel Values

These examples help connect theory with practice.

💡 Applications & Exploration

UNS opens the door to many domains:

  • modeling distributed systems
  • exploring new forms of numeric structure
  • generative or conceptual mathematics
  • computational design
  • LLM-assisted reasoning
  • experimental number theory

These wiki pages will explore potential applications and speculative directions in a grounded, mathematically consistent manner.

🤝 Contributing to the Wiki

Suggestions, corrections, and new topic proposals are welcome. You can:

  • open a GitHub Discussion
  • submit a pull request
  • propose new wiki sections
  • refine or expand existing explanations

The goal is to build a clear, consistent, and accessible knowledge base for a new kind of number system.

🚀 Where to Go Next

If you're ready to dive deeper:

  • Start with Introduction to UNS
  • Or explore the Guided Discovery Document in the repo for a narrative walkthrough
  • Or jump straight into Examples to see UNS in action

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