Thinking·OS

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Explore the knowledge graph

Congruence is analogous to Similarity. Activate to inspect this relation.Dissonance is commonly confused with Consonance. Activate to inspect this relation.Dissonance emerges from Harmonic ratio. Activate to inspect this relation.Form and volume applies to Proportionality. Activate to inspect this relation.Frequency measures Oscillation. Activate to inspect this relation.Harmonic ratio is a Ratio. Activate to inspect this relation.Just intonation is derived from Harmonic ratio. Activate to inspect this relation.Just intonation is a Tuning system. Activate to inspect this relation.Consonance depends on Harmonic ratio. Activate to inspect this relation.Octave is a Harmonic ratio. Activate to inspect this relation.Harmonic ratio is derived from Frequency. Activate to inspect this relation.Tuning system is derived from Harmonic ratio. Activate to inspect this relation.Tuning system trades off with Consonance. Activate to inspect this relation.Musical interval is derived from Harmonic ratio. Activate to inspect this relation.Order of magnitude is a Scale. Activate to inspect this relation.Percent is a Ratio. Activate to inspect this relation.Perspective drawing applies to Proportionality. Activate to inspect this relation.Proportionality depends on Ratio. Activate to inspect this relation.Ratio is part of Scale. Activate to inspect this relation.Surface-area-to-volume ratio constrains Metabolism. Activate to inspect this relation.Surface-area-to-volume ratio is a Ratio. Activate to inspect this relation.Scale applies to Climate. Activate to inspect this relation.Semitone is a Musical interval. Activate to inspect this relation.Semitone is part of Octave. Activate to inspect this relation.Similarity depends on Ratio. Activate to inspect this relation.RatioHarmonic ratioSurface-area-to-volume ratioScalePercentProportionalitySimilarityOctaveFrequencyTuning systemJust intonationMusical intervalDissonanceConsonanceMetabolismOrder of magnitudeClimateForm and volumePerspective drawingCongruenceSemitoneOscillation
Relationship types

172 concepts viewed through this lens. Bridge concepts connect this view to Acoustics, Actuarial Science, Agriculture, Algorithms….

Legend
  • Focused concept
  • Connected concept
  • Bridge concept (just outside the lens)
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
22 concepts25 relationships27 disciplines6 relation families

At a glance

A comparison of two quantities by division, saying how many times one contains the other.

Disciplines
Mathematics · Arithmetic
Role in the graph
Cross-disciplinary bridge — reaches Algebra, Architecture, Astronomy, Biology, Cell Biology, Geography, Geometry, Music, Physics
Relationships
6 · 2 relation families
Mental models
1

What am I looking at?

In this lens (172)

Bridge concepts (186)

Just outside the lens — they connect it to other context.

  • Rate of change5
    Calculus, Economics, Physics · connects to Differential equation, Integral, Limit…
  • Enumerative counting4
    Combinatorics · connects to Combination, Generating function, Permutation…
  • Graph data structure4
    Computer Science, Data Structures · connects to Connectivity, Edge, Shortest path…
  • Machine learning3
    Artificial Intelligence, Computer Science, Machine Learning, Statistics · connects to Algorithm, Pattern, Probability
  • Optimization3
    Business, Economics, Engineering, Mathematical Modelling, Optimization, Systems Engineering · connects to Inequality, Linear programming, Mathematical model

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 27 disciplines: Algebra, Architecture, Arithmetic, Astronomy, Atmospheric Science, Biochemistry, Biology, Cell Biology, Cognitive Science, Cultural Studies, Culture, Environmental Science, Geography, Geometry, Mathematics, Mechanics, Meteorology, Music, Music Theory, Nutrition Science, Organic Chemistry, Painting, Physics, Physiology, Sculpture, Systems Biology, Visual Arts.
  • Ratio is a bridge concept — viewed here through Arithmetic, Mathematics.
  • The connections here span 6 relation families.
  • Scale explains 5 concepts in this view (Algebra, Architecture, Arithmetic, Astronomy, Biology, Cell Biology, Geography, Geometry, Mathematics, Physics).

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

Explore through a different lens

A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.