Thinking·OS

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Random variable is a Variable. Activate to inspect this relation.Function depends on Variable. Activate to inspect this relation.Function depends on Set. Activate to inspect this relation.Cartesian coordinate system enables Function. Activate to inspect this relation.Sine and cosine is a Function. Activate to inspect this relation.Continuous function is a Function. Activate to inspect this relation.Function composition applies to Function. Activate to inspect this relation.Morphism is analogous to Function. Activate to inspect this relation.Category theory applies to Function. Activate to inspect this relation.Fourier analysis applies to Function. Activate to inspect this relation.Dynamical systems applies to Function. Activate to inspect this relation.Function is a Relation. Activate to inspect this relation.Axiom of choice depends on Function. Activate to inspect this relation.Function compositionFunctionVariableRelationContinuous functionMorphismCategory theoryFourier analysisDynamical systemsAxiom of choiceSetCartesian coordinate systemSine and cosineRandom variable
Relationship types
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  • Connected concept
  • 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
14 concepts13 relationships9 disciplines5 relation families

Function composition

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At a glance

In mathematics, the composition operator takes two functions, and , and returns a new function .

Disciplines
Mathematics · Algebra
Role in the graph
Leaf concept
Relationships
1 · 1 relation families
Mental models
1

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 9 disciplines: Algebra, Calculus, Category Theory, Discrete Mathematics, Geometry, Logic, Mathematics, Probability, Set Theory.
  • Function composition is a bridge concept — viewed here through Algebra, Mathematics.
  • The connections here span 5 relation families.

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.