Thinking·OS

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Explore the knowledge graph

Algorithm is a Sequence. Activate to inspect this relation.Birch–Swinnerton-Dyer conjecture applies to Prime number. Activate to inspect this relation.Divisibility applies to Integer. Activate to inspect this relation.Divisor applies to Integer. Activate to inspect this relation.Elliptic-curve cryptography depends on Modular arithmetic. Activate to inspect this relation.Fraction is a Rational number. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Divisibility. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Prime number. Activate to inspect this relation.Integer is a Rational number. Activate to inspect this relation.Langlands program applies to Prime number. Activate to inspect this relation.Modular arithmetic applies to Divisibility. Activate to inspect this relation.Natural number is a Integer. Activate to inspect this relation.One-way function depends on P versus NP. Activate to inspect this relation.P versus NP applies to Complexity Class NP. Activate to inspect this relation.P versus NP applies to Class P. Activate to inspect this relation.P versus NP is analogous to Riemann hypothesis. Activate to inspect this relation.P versus NP applies to Algorithm. Activate to inspect this relation.Prime number depends on Divisor. Activate to inspect this relation.Prime number is a Natural number. Activate to inspect this relation.Rational number is a Real number. Activate to inspect this relation.Riemann hypothesis applies to Prime number. Activate to inspect this relation.RSA cryptosystem depends on Modular arithmetic. Activate to inspect this relation.Shor's algorithm applies to Prime number. Activate to inspect this relation.Prime numberNatural numberDivisorBirch–Swinnerton-Dyer conjectureFundamental theorem of arithmeticLanglands programRiemann hypothesisShor's algorithmIntegerDivisibilityP versus NPRational numberModular arithmeticComplexity Class NPClass PAlgorithmOne-way functionReal numberFractionRSA cryptosystemElliptic-curve cryptographySequence
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 concepts23 relationships16 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

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 16 disciplines: Algorithms, Arithmetic, Bioinformatics, Computational Complexity, Computer Science, Cryptography, Data Structures, Discrete Mathematics, History, Logic, Mathematics, Molecular Biology, Number Theory, Quantum Computing, Software Engineering, Theory of Computation.
  • Prime number is a bridge concept — viewed here through Arithmetic, Mathematics.
  • The connections here span 4 relation families.
  • Information explains 2 concepts in this view (Algorithms, Bioinformatics, Computer Science, Data Structures, Discrete Mathematics, History, Logic, Mathematics, Molecular Biology, Software Engineering, Theory of Computation).

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.