Thinking·OS

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Algorithm models Turing machine. Activate to inspect this relation.Algorithm is a Sequence. Activate to inspect this relation.Church-Turing Thesis depends on Turing machine. Activate to inspect this relation.Church-Turing Thesis explains Computability. Activate to inspect this relation.Computability depends on Turing machine. Activate to inspect this relation.Computability theory depends on Turing machine. Activate to inspect this relation.Computational biology applies to Algorithm. Activate to inspect this relation.Computational Complexity depends on Computability. Activate to inspect this relation.Computational complexity theory is part of Algorithm. Activate to inspect this relation.Data compression depends on Algorithm. Activate to inspect this relation.Decidability is part of Computability. Activate to inspect this relation.Decidability is part of Computability theory. Activate to inspect this relation.DNA is analogous to Algorithm. Activate to inspect this relation.Finite automaton is analogous to Turing machine. Activate to inspect this relation.Finite-state machine is analogous to Turing machine. Activate to inspect this relation.Greedy algorithm is a Algorithm. Activate to inspect this relation.Halting problem applies to Decidability. Activate to inspect this relation.Halting problem applies to Turing machine. Activate to inspect this relation.Halting problem depends on Turing machine. Activate to inspect this relation.Halting problem is part of Computability. Activate to inspect this relation.Lambda calculus is analogous to Turing machine. Activate to inspect this relation.Machine learning is a Algorithm. Activate to inspect this relation.Search algorithm is a Algorithm. Activate to inspect this relation.Sorting algorithm is a Algorithm. Activate to inspect this relation.Space Complexity measures Turing machine. Activate to inspect this relation.Time Complexity measures Turing machine. Activate to inspect this relation.Turing machine is a Finite automaton. Activate to inspect this relation.Turing machine models Computability. Activate to inspect this relation.Turing machine models Algorithm. Activate to inspect this relation.Church-Turing ThesisTuring machineComputabilityAlgorithmFinite automatonHalting problemLambda calculusSpace ComplexityTime ComplexityComputability theoryFinite-state machineComputational ComplexityDecidabilitySequenceMachine learningGreedy algorithmSearch algorithmData compressionDNASorting algorithmComputational biologyComputational complexity theory
Relationship types

14 concepts viewed through this lens. Bridge concepts connect this view to Algorithms, Artificial Intelligence, Biochemistry, Bioinformatics….

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 concepts29 relationships24 disciplines5 relation families

Church-Turing Thesis

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At a glance

The Church-Turing thesis asserts that every effectively calculable function can be computed by a Turing machine.

Disciplines
Theory of Computation
Role in the graph
Cross-disciplinary bridge — reaches Computational Complexity, Computer Science
Relationships
2 · 2 relation families

What am I looking at?

In this lens (14)

Bridge concepts (27)

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

Insights from this view

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

  • This view connects 24 disciplines: Algorithms, Artificial Intelligence, Biochemistry, Bioinformatics, Biology, Cell Biology, Computational Biology, Computational Complexity, Computer Science, Data Structures, Discrete Mathematics, Evolutionary Biology, Genetics, History, Information Theory, Logic, Machine Learning, Mathematics, Molecular Biology, Optimization, Programming Languages, Software Engineering, Statistics, Theory of Computation.
  • Algorithm is a bridge concept — viewed here through Algorithms, Computer Science, Discrete Mathematics, Logic, Mathematics, Software Engineering, Theory of Computation.
  • The connections here span 5 relation families.
  • Information explains 6 concepts in this view (Algorithms, Artificial Intelligence, Biochemistry, Bioinformatics, Cell Biology, Computational Complexity, Computer Science, Data Structures, Discrete Mathematics, Evolutionary Biology, Genetics, History, Information Theory, Logic, Machine Learning, Mathematics, Molecular Biology, Software Engineering, Statistics, Theory of Computation).

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.