Thinking·OS

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Explore the knowledge graph

Acceleration is a Rate of change. Activate to inspect this relation.Centripetal force is a Force. Activate to inspect this relation.Differential equation depends on Rate of change. Activate to inspect this relation.Flow is a Rate of change. Activate to inspect this relation.Force causes Acceleration. Activate to inspect this relation.Force is part of Centripetal force. Activate to inspect this relation.Integral is analogous to Rate of change. Activate to inspect this relation.Kinetic energy is a Energy. Activate to inspect this relation.Kinetic energy depends on Velocity. Activate to inspect this relation.Limit enables Rate of change. Activate to inspect this relation.Mass causes Force. Activate to inspect this relation.Mass is part of Centripetal force. Activate to inspect this relation.Momentum depends on Mass. Activate to inspect this relation.Momentum depends on Velocity. Activate to inspect this relation.Newton's laws of motion explains Force. Activate to inspect this relation.Potential energy is a Energy. Activate to inspect this relation.Potential energy influences Kinetic energy. Activate to inspect this relation.Pressure is a Force. Activate to inspect this relation.Rate of change depends on Limit. Activate to inspect this relation.Slope models Rate of change. Activate to inspect this relation.Load is a Force. Activate to inspect this relation.Tangent depends on Rate of change. Activate to inspect this relation.Torque is a Force. Activate to inspect this relation.Velocity is a Rate of change. Activate to inspect this relation.Velocity is part of Centripetal force. Activate to inspect this relation.Weight is a Force. Activate to inspect this relation.Work depends on Force. Activate to inspect this relation.Rate of changeFlowAccelerationSlopeVelocityDifferential equationIntegralLimitTangentForceKinetic energyCentripetal forceMomentumNewton's laws of motionPressureTorqueWeightMassWorkLoadEnergyPotential energy
Relationship types

201 concepts viewed through this lens. Bridge concepts connect this view to Acoustics, Aerospace Engineering, Agriculture, Algebra….

Legend
  • Focused concept
  • Connected concept
  • Bridge concept (just outside the lens)
  • 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
22 concepts27 relationships14 disciplines5 relation families

Rate of change

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At a glance

How fast a quantity increases or decreases over time.

Disciplines
Calculus · Physics · Economics
Role in the graph
Cross-disciplinary bridge — reaches Algebra, Geometry, Mathematical Modelling, Mathematics, Mechanics, Systems Science
Relationships
8 · 5 relation families
Mental models
1

What am I looking at?

In this lens (201)

Bridge concepts (255)

Just outside the lens — they connect it to other context.

  • Black hole4
    Astronomy, Relativity · connects to Gravitational singularity, Hawking radiation, Holographic principle…
  • Atomic orbital3
    Atomic Physics, Chemistry, Quantum Physics · connects to Atom, Quantum mechanics, Spectral line
  • Entanglement3
    Computer Science, Quantum Computing · connects to Bell's theorem, ER = EPR, Quantum nonlocality
  • Gravitational wave3
    Astronomy · connects to Interferometry, Spacetime, Wave
  • Pattern3
    Biology, Cognitive Science, Design, Education, Educational Science, Machine Learning, Mathematics · connects to Cycle, Rhythm, Symmetry

Insights from this view

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

  • This view connects 14 disciplines: Aerospace Engineering, Algebra, Calculus, Civil Engineering, Economics, Engineering, Geometry, Mathematical Modelling, Mathematics, Mechanical Engineering, Mechanics, Physics, Structural Engineering, Systems Science.
  • Rate of change is a bridge concept — viewed here through Calculus, Economics, Physics.
  • The connections here span 5 relation families.
  • Stocks and flows explains 4 concepts in this view (Calculus, Economics, Mathematics, Physics, Systems Science).

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.