← All mental models

Reusable cognitive primitives

Compounding

When each step's growth is added to the base so the next step grows too — producing accelerating, exponential change rather than a steady line.

Where it appears

Dependencies & synergies

Derived from the graph’s real structure — 18 concepts across 24 disciplines carry this pattern. Every figure is a count, not a score.

Reach across disciplines

How many concepts carrying this pattern are seen through each discipline.

Patterns that travel with it

Other thinking patterns that recur on the same concepts — the more shared concepts, the more often they co-occur.

The shape of its reasoning

What kinds of relationships the carrying concepts form — the relational signature of the pattern.

  • Cause & effect20 edges
  • Kind & structure12 edges
  • Dependency10 edges
  • Explains & models5 edges
  • Analogy & transfer5 edges
  • Teaching link5 edges
Furthest-reaching carriers

Concepts where this pattern does the most cross-disciplinary work — each reaches disciplines beyond its own.

  • Epidemic spreadreachesAlgebraAnthropologyBiologyBiophysicsChemistryDiscrete MathematicsEconomicsEnvironmental EngineeringEnvironmental ScienceEthicsFinanceLinear AlgebraMathematicsMedicinePhysicsPhysiologyPublic PolicySociologyStatistical PhysicsStatisticsUrban Planning
  • Exponential growthreachesChemistryClimatologyDemographyEcologyEpidemiologyEvolutionary BiologyMicrobiologyNetwork SciencePhysicsPublic HealthSociologySystems Science
  • Reinforcing loopreachesAlgebraAtmospheric ScienceBiologyComplexity ScienceEcologyEngineeringFinanceGeographyHuman-Computer InteractionMathematicsPhysicsSystems Biology
  • Population growthreachesAgricultureAlgebraEcological EconomicsEconomicsEnvironmental ScienceFinanceHuman GeographyMathematicsSystems Biology
  • Fibonacci sequencereachesBioinformaticsComputer ScienceData StructuresDiscrete MathematicsGeometryHistoryMolecular Biology
  • Radioactive decayreachesAlgebraEarth & Space SciencesEngineeringGeochemistryGeologyMathematics

Foundation of the pattern

Carrying concepts that others in the same pattern build on (they depend on or follow from these).

  1. Exponentiation 1 other concept build on it
  2. Interest 1 other concept build on it
  3. Interest rate 1 other concept build on it
  4. Radioactive decay 1 other concept build on it

Examples across disciplines

Economics

Money earning interest on its interest grows faster and faster over time.

Biology

A population where each generation multiplies grows explosively until a limit bites.

Epidemiology

Each infected person infecting several others makes early outbreaks grow exponentially.

How this pattern travels

Interpreted from where the pattern recurs in the atlas — structural transfer and coverage, not a claim it is universally the "best" model.

  • Recurs across 24 disciplines over 18 carrier concepts — a broadly transferable pattern.

    structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.

  • 5 of its 18 carrier concepts are themselves cross-disciplinary connectors.

    structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.

  • Currently dark in the atlas: no origin recorded.

    atlas representation · Describes the current Thinking OS representation, not the model itself.

Coverage matrix

How these concepts distribute across domains and concept families — real counts, not a score.

SystemsInformationMatterChangePatternsEnergyLifeScaleStructureDecisionNetworksWavesCausalityComputationEarthSpaceOptimizationNumberProbabilitySecurityThresholdsConstraintsNatural sciencesFormal sciencesEngineeringMedicine & healthSocial sciencesHumanitiesProfessionalArtsInterdisciplinary145113111

Knowledge timeline

Real, sourced key dates of these concepts.

2 events
1400160018001202 · Fibonacci sequence1896 · Radioactive decay

The statistical fingerprint

How the 18 concepts that exercise this pattern distribute — from the graph, not a ranking.

Disciplinary fingerprint

Carrier concepts under each illuminating lens.

How settled its carriers are

Epistemic status of the concepts that exercise this pattern.

  • Established18 · 100%
Common misconception

That exponential growth continues forever; real systems hit limits that bend the curve.

Try a transfer challenge

You have seen this model in one place. Where else could it apply — and where would the analogy break?

Compound interest
The intuition

Growth that feeds on itself starts slow and then surprises you.

The reach of this pattern
  • Recurs across 24 disciplines.
  • 48 concepts exercise this thinking pattern.

Derived from the graph — a pattern is a reasoning lens, not a law.

How to recognise it

Is each period's growth added back to the base so the growth itself grows — turning a slow start into a steep curve?

Keep this question handy when you meet something new — it helps you notice the pattern, not just name it.