Reusable cognitive primitives
Scale
How a system's size changes what matters about it. Quantities rarely scale in step: doubling a length can quadruple an area and multiply a volume eightfold.
Where it appears
Dependencies & synergies
Derived from the graph’s real structure — 47 concepts across 33 disciplines carry this pattern. Every figure is a count, not a score.
How many concepts carrying this pattern are seen through each discipline.
Other thinking patterns that recur on the same concepts — the more shared concepts, the more often they co-occur.
What kinds of relationships the carrying concepts form — the relational signature of the pattern.
Concepts where this pattern does the most cross-disciplinary work — each reaches disciplines beyond its own.
- Quantum mechanicsreachesAtomic PhysicsChemistryComputational ChemistryComputer ScienceCondensed Matter PhysicsMathematicsProbabilityQuantum ComputingStatistics
- RatioreachesAlgebraArchitectureAstronomyBiologyCell BiologyGeographyGeometryMusicPhysics
- EarthreachesAtmospheric ScienceCartographyGeographyGeoinformaticsGeologyMeteorologyPhysics
- DecibelreachesAlgebraAudiologyInformation TheoryMathematicsPhotographySignal ProcessingTelecommunications Engineering
- HierarchyreachesCognitive ScienceDesignEducationEducational ScienceMachine LearningMathematicsProject Management
- InfinityreachesBioinformaticsCalculusComputer ScienceData StructuresDiscrete MathematicsHistoryMolecular Biology
Carrying concepts that others in the same pattern build on (they depend on or follow from these).
- Avogadro constant — 1 other concept build on it
- Ratio — 1 other concept build on it
- Speed of light in vacuum — 1 other concept build on it
Examples across disciplines
Small cells absorb enough through their surface; too large, and their volume outpaces the surface feeding it.
A process that looks random in one town can be a clear trend across a whole continent.
Thinking in orders of magnitude tells you whether an effect matters before you calculate it exactly.
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 33 disciplines over 47 carrier concepts — a broadly transferable pattern.
structural · Structural recurrence in the atlas — a pattern is a reasoning lens, not a law.
14 of its 47 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 3 of 3 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 · no assignment cites a source.
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.
Knowledge timeline
Real, sourced key dates of these concepts.
- 1900Quantum mechanics · Publication · Physics
- 1912Gini coefficient · Publication · Economics
- 1935Richter scale · Formalization · Earth & Space Sciences
- 1958Integrated circuit · Discovery · Computer Science
The statistical fingerprint
How the 47 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.
Where the model breaks
This pattern is a reasoning lens, not a law. Here is where it stops helping:
- Decibel (mechanism): A logarithmic ratio: you cannot add or average decibels linearly, and a dB value is meaningless without its reference level.
- Richter scale (mechanism): Each unit is ~32× the energy; comparing magnitudes as if linear massively understates how much bigger a large quake is.
- Sound pressure level (mechanism): Because it is logarithmic, doubling perceived loudness is roughly +10 dB, not ×2 — linear intuition about "twice as loud" fails.
✕ That things simply get bigger uniformly; areas and volumes grow far faster than lengths.
You have seen this model in one place. Where else could it apply — and where would the analogy break?
Area →Ask what changes when you make it ten times bigger or smaller — the rules often change with the size.
- Recurs across 33 disciplines.
- 94 concepts exercise this thinking pattern.
- 3 of them explicitly note where the model breaks down.
Derived from the graph — a pattern is a reasoning lens, not a law.
If you made this ten times larger or smaller, which quantities would grow out of step — and would the governing rule itself change?
Keep this question handy when you meet something new — it helps you notice the pattern, not just name it.