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Reusable cognitive primitives

Diffusion & spread

Countless small random steps carry things from where they are crowded to where they are sparse — smoothing differences and spreading through a network.

Where it appears

Dependencies & synergies

Derived from the graph’s real structure — 5 concepts across 14 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 & effect6 edges
  • Kind & structure3 edges
  • Teaching link3 edges
  • Dependency2 edges
  • Analogy & transfer2 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
  • DiffusionreachesBiologyCell BiologyEngineeringEpidemiologyNetwork ScienceNutrition SciencePhysiologyPublic Health
  • Gas exchangereachesBiophysicsChemistryEnvironmental EngineeringEnvironmental SciencePhysicsSociologyStatistical Physics
  • OsmosisreachesChemistryEnvironmental EngineeringEnvironmental SciencePhysicsSociologyStatistical Physics
  • Thermal conductionreachesChemical Engineering

Examples across disciplines

Chemistry

A scent spreads across a room by molecular diffusion.

Biology

An epidemic spreads through a contact network.

Economics

A new technology diffuses through adopters over time.

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 14 disciplines over 5 carrier concepts — a broadly transferable pattern.

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

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

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

  • Explicit "where it breaks" notes exist for 5 of 5 annotated assignments.

    curated · Curated boundary annotations — absence is a representation gap, not evidence the model has no limits.

  • 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 sciencesHumanitiesProfessionalArtsInterdisciplinary2111

The statistical fingerprint

How the 5 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.

  • Established5 · 100%

Where the model breaks

This pattern is a reasoning lens, not a law. Here is where it stops helping:

  • Diffusion (mechanism): Explains passive spreading down a concentration gradient only — it does NOT cover bulk flow (advection), active transport, or contact/network spread.
  • Epidemic spread (analogy): Diffusion assumes local, gradient-driven spread; real epidemics also jump non-locally through travel and contact networks, which pure diffusion cannot capture.
  • Gas exchange (mechanism): Diffusion sets the local step, but effective exchange depends on bulk ventilation and perfusion delivering the gradient — diffusion alone is too slow over distance.
  • Osmosis (mechanism): Osmosis is diffusion of solvent across a selective membrane driven by water potential; treat it as free diffusion of solute and you get the direction wrong.
  • Thermal conduction (mechanism): The diffusion analogy fits conduction, but convection and radiation often dominate heat transport — using diffusion everywhere underestimates the real flux.

5 of 5 explained assignments cite a source; the rest are editorial interpretations. 1 are flagged for review. None is externally validated.

Common misconception

Something must be pushing it in a direction. Pure diffusion needs no push — random motion plus a gradient is enough.

Try a transfer challenge

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

Gas exchange
The intuition

Expect spread to be driven by a gradient and by contact. Early growth can look explosive, then slows as the gradient flattens or susceptibles run out.

The reach of this pattern
  • Recurs across 14 disciplines.
  • 17 concepts exercise this thinking pattern.
  • 5 of them explicitly note where the model breaks down.

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

How to recognise it

Is there a gradient from crowded to sparse, and does the spread happen through contact — fast at first, then slowing as the gradient flattens?

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