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LIB-0324ScienceStub

Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Lundy, Miranda

science

Knowledge Graph Connections

Concepts:
Sympatheia

Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Author: Lundy, Miranda Year: — Publisher: —

Summary

A visual compendium of the four classical liberal arts of the medieval quadrivium: arithmetic (number), geometry (number in space), music (number in time), and astronomy (number in space and time). The book is organized into four sections, each authored by a specialist, presenting the mathematical and harmonic principles underlying each discipline through diagrams, geometric constructions, and minimal text.

The approach is Pythagorean: number is not abstract quantity but the structural principle of the cosmos. The same ratios that produce musical harmony govern planetary motion, crystal formation, and biological growth. The quadrivium is presented as a unified field of knowledge in which the divisions between mathematics, music, and cosmology dissolve.

Relevance to Project

Provides the visual and mathematical vocabulary for the project's treatment of Pythagorean cosmology and sacred geometry. The Hermetic axiom "as above, so below" (CON-0018) is the quadrivium's operating principle: the same harmonic ratios appear at every scale. Useful as a reference for visual assets (diagrams, geometric constructions) and for episodes treating the Pythagorean tradition.

Cross-references: CON-0018 (Hermeticism, the correspondence principle).

Key Arguments

  • The quadrivium is a unified system: number, geometry, music, and astronomy are aspects of a single harmonic order
  • Mathematical ratios are not abstractions but structural principles of the visible cosmos
  • The medieval liberal arts curriculum was designed to attune the student to the harmonic order of creation
  • Sacred geometry is not occult mystification but applied mathematics in a participatory framework

Key Passages

The book is primarily visual: diagrams and geometric constructions speak more directly than prose quotation.

Agent Research Notes

[AGENT: claude-code | DATE: 2026-03-22] Populated body sections. This is a reference/illustration book, not a scholarly argument. Useful for visual material and for grounding abstract claims about Pythagorean cosmology in specific geometric demonstrations.

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