Thinking·OS

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Integer is a Rational number. Activate to inspect this relation.Natural number is a Integer. Activate to inspect this relation.Prime number is a Natural number. Activate to inspect this relation.Divisor applies to Integer. Activate to inspect this relation.Prime number depends on Divisor. Activate to inspect this relation.Divisibility applies to Integer. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Prime number. Activate to inspect this relation.Modular arithmetic applies to Divisibility. Activate to inspect this relation.Riemann hypothesis applies to Prime number. Activate to inspect this relation.P versus NP is analogous to Riemann hypothesis. Activate to inspect this relation.Shor's algorithm applies to Prime number. Activate to inspect this relation.Shor's algorithm depends on Qubit. Activate to inspect this relation.Langlands program applies to Prime number. Activate to inspect this relation.Birch–Swinnerton-Dyer conjecture applies to Prime number. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Divisibility. Activate to inspect this relation.Prime numberNatural numberDivisorFundamental theorem of arithmeticRiemann hypothesisShor's algorithmLanglands programBirch–Swinnerton-Dyer conjectureIntegerDivisibilityP versus NPQubitRational numberModular arithmetic
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  • 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
14 concepts15 relationships6 disciplines4 relation families

Prime number

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At a glance

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Disciplines
Mathematics · Arithmetic
Role in the graph
Cross-disciplinary bridge — reaches Number Theory, Quantum Computing
Relationships
7 · 3 relation families

Insights from this view

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

  • This view connects 6 disciplines: Arithmetic, Computational Complexity, Computer Science, Mathematics, Number Theory, Quantum Computing.
  • Prime number is a bridge concept — viewed here through Arithmetic, Mathematics.
  • The connections here span 4 relation families.

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.