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Formal sciences

Statistics

A discipline is a lens, not an owner — the same idea can be viewed through many.

34 concepts115 relationships8 relation families21 bridge concepts

Concepts viewed through this lens

These numbers describe the current Thinking OS knowledge slice, not the whole field.

Explore this lens in the graph →

Disciplines it bridges to

Each bridge is built by ideas the two fields share, the thinking patterns that recur across both, and a representative relationship that shows how they connect.

Field shape — representation health

72/100 overall · 34 concepts

The eight dimensions measure Thinking OS coverage of this field, not the quality or importance of the discipline.

  • Structural71 /100
  • Evidence100 /100
  • Foundations86 /100
  • Factual depth13 /100
  • Pedagogical62 /100
  • Cross-disciplinary100 /100
  • Provenance41 /100
  • Taxonomy100 /100

What kind of structure is this field?

Interpreted from the current atlas — how this field is represented, not a judgement of the field.

  • Representation health 72/100 — healthy representation. Strongest: evidence, cross-disciplinary. Thinnest: factual depth.

    structural · Measures the current Thinking OS representation, not the quality or importance of the field.

  • Its 72 representation-health is above the 59 median of 51 similarly-sized disciplines (comparable by concept count).

    structural · Measures the current Thinking OS representation, not the quality or importance of the field.

  • 72% of its relations reach into 71 other disciplines — an outward-facing field in the atlas.

    structural · Measures the current Thinking OS representation, not the quality or importance of the field.

  • Current atlas gaps: no dated concepts.

    atlas representation · Measures the current Thinking OS representation, not the quality or importance of the field.

  • 29% of its concepts have a single connection (mean internal degree 1.9) — a fairly cohesive internal structure.

    structural · Measures the current Thinking OS representation, not the quality or importance of the field.

How this lens connects

The kinds of relationship that characterise this discipline lens in the current slice.

Cause & effect24
Dependency24
Kind & structure22
Teaching link22
Explains & models10
Analogy & transfer8
Time order3
Evidence2

Coverage matrix

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

SystemsInformationMatterChangePatternsEnergyLifeScaleStructureDecisionNetworksWavesCausalityComputationEarthSpaceOptimizationNumberProbabilitySecurityThresholdsConstraintsNatural sciencesFormal sciencesEngineeringMedicine & healthSocial sciencesHumanitiesProfessionalArtsInterdisciplinary1121321521411

Ideas that connect this discipline outward

Concepts viewed through this lens that reach disciplines it does not itself carry — concept-level bridges (distinct from the discipline-to-discipline bridges below).

  • Machine learningreachesAlgorithmsBiochemistryBiologyBiotechnologyBusinessCognitive ScienceData ScienceDesignDiscrete MathematicsEconomicsEducationEducational ScienceEngineeringEvolutionary BiologyHuman-Computer InteractionLogicMathematical ModellingMathematicsNeuroinformaticsNeuroscienceOptimizationProbabilitySoftware EngineeringSystems BiologySystems EngineeringSystems ScienceTheory of Computation
  • ProbabilityreachesActuarial ScienceArtificial IntelligenceBiostatisticsComplexity ScienceComputer ScienceData ScienceDecision TheoryDiscrete MathematicsEconomicsEpistemologyEthicsFinanceInformation TheoryMachine LearningMedicinePhysical ChemistryPhysicsPublic PolicyQuantum PhysicsStatistical PhysicsThermodynamics
  • RiskreachesActuarial ScienceBusinessData ScienceEntrepreneurshipEnvironmental ScienceEpidemiologyEpistemologyMachine LearningMathematicsNetwork SciencePhotographyProbabilityPublic HealthToxicology
  • CorrelationreachesBiostatisticsEconometricsEconomicsEpidemiologyEthicsFinanceHistoryMathematicsMedicineMetaphysicsPhilosophy of SciencePsychologyPublic Policy
  • PredictionreachesBiologyCognitive ScienceComputer ScienceData ScienceEducational ScienceEpistemologyHistory of ScienceLogicMachine LearningMathematical ModellingPhysicsSystems Science
  • OverfittingreachesBiologyBusinessCognitive ScienceComputer ScienceDesignEconomicsEngineeringEthicsPolitical SciencePublic PolicySystems Engineering

Mental models that recur here

Learning journeys that use it

People represented in this atlas

People tagged with this lens who have a recorded contribution. Not exhaustive, and not a ranking.

Explore connections

What this lens reveals
  • 34 concepts are viewed through this lens.
  • 21 of them bridge into other disciplines.
  • Its signature thinking pattern is “Probability” (recurs in 11 concepts).
  • The most common kind of connection here is “Cause & effect”.
  • It is most tightly linked to Mathematics.

Derived from the current graph structure — observations, not a judgement of the field.