Stoa
Atlas/Tree

Tree of the Sciences

The whole map of systematic knowledge on one screen — how the formal, physical, life, social, humanistic, and applied sciences branch from a single root.

Branch
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Mathematicsnumber, structure, spaceLogicvalid inferenceStatisticsinference under uncertain…Formal Sciencesabstract structurePhysicsmatter, motion, energyChemistrymatter & its transformati…Astronomythe cosmosEarth Sciencegeology, climate, oceansPhysical Sciencesmatter & energyBiologythe study of lifeMedicinehealth & diseaseEcologyorganisms & environmentLife Sciencesliving systemsEconomicsproduction & choiceSociologysociety & institutionsPsychologymind & behaviourPolitical Sciencepower & governanceAnthropologyhumanity across culturesSocial Scienceshuman societyPhilosophythe parent disciplineHistorythe human pastLinguisticsthe science of languageLiteraturewritten artHumanitiesmeaning & interpretationEngineeringdesign & buildingComputer Sciencecomputation & informationApplied Sciencesknowledge put to useSystematic Knowledgethe sciences

Each school is a star; the threads trace teachers to their heirs.

Select any school in the tree to read about it.

All schools by tradition

Knowledge

  • the sciences

    The organised pursuit of understanding through evidence and reason. Every discipline below is one branch of a single enterprise — dividing by what it studies and how it tests its claims.

Formal sciences

  • abstract structure

    from Systematic Knowledge

    The sciences of pure structure, which reason about abstract systems rather than the physical world. Their proofs are certain because they follow from definitions, not observation.

  • number, structure, space

    from Formal Sciences

    The study of quantity, structure, space, and change through deductive proof. It is the common language every empirical science borrows to state its laws precisely.

  • valid inference

    from Formal Sciences

    The science of valid inference — what follows from what, independent of subject matter. It grew from Aristotle's syllogism into the formal systems underlying mathematics and computing.

  • inference under uncertainty

    from Formal Sciences

    The mathematics of collecting, modelling, and drawing conclusions from data under uncertainty. It is the method by which every empirical field turns observation into knowledge.

Physical sciences

  • matter & energy

    from Systematic Knowledge

    The study of non-living matter and energy, from subatomic particles to galaxies. These fields seek universal laws confirmed by experiment and expressed in mathematics.

  • matter, motion, energy

    from Physical Sciences

    The most fundamental physical science, seeking the basic laws governing matter, motion, energy, and the forces of nature — the foundation on which chemistry and astronomy rest.

  • matter & its transformations

    from Physical Sciences

    The science of substances — their composition, structure, and reactions. It bridges the physics of atoms and the chemistry of life, explaining how matter is transformed.

  • the cosmos

    from Physical Sciences

    The oldest science, studying celestial bodies and the universe as a whole. Its modern form, astrophysics, applies the laws of physics to stars, galaxies, and cosmic origins.

  • geology, climate, oceans

    from Physical Sciences

    The study of our planet's systems — its rocks, atmosphere, oceans, and climate. Geology, meteorology, and oceanography read Earth's deep past and forecast its changing future.

Life sciences

  • living systems

    from Systematic Knowledge

    The study of living organisms and the systems that sustain them, from molecules to ecosystems. Darwin's theory of evolution gives the whole branch its unifying history.

  • the study of life

    from Life Sciences

    The central life science, spanning genetics, cell biology, physiology, and evolution. It explains how organisms are built, how they function, and how they change over time.

  • health & disease

    from Life Sciences

    The applied life science of preserving health and treating disease. It turns biological understanding of the body into diagnosis, therapy, and public health.

  • organisms & environment

    from Life Sciences

    The study of how organisms interact with one another and their environment. It reveals the flows of energy and matter that hold ecosystems — and the biosphere — together.

Social sciences

  • human society

    from Systematic Knowledge

    The sciences of human behaviour and society, applying empirical method to institutions, markets, minds, and cultures — where controlled experiment is often impossible.

  • production & choice

    from Social Sciences

    The study of how societies allocate scarce resources through production, exchange, and choice. The most mathematical social science, spanning individual markets to the whole economy.

  • society & institutions

    from Social Sciences

    The study of social relationships, groups, and institutions — how norms, class, and power shape collective life. It emerged with the industrial transformation of modern society.

  • mind & behaviour

    from Social Sciences

    The science of mind and behaviour, from perception and memory to emotion and personality. It bridges the life and social sciences, studying the individual within the group.

  • power & governance

    from Social Sciences

    The systematic study of power, government, and collective decision — how states are organised, how they are legitimised, and how they behave toward one another.

  • humanity across cultures

    from Social Sciences

    The comparative study of humanity across all cultures and eras, from our evolutionary past to living societies. It asks what is universal and what is particular in being human.

Humanities

  • meaning & interpretation

    from Systematic Knowledge

    The disciplines that study human culture, meaning, and expression through interpretation rather than experiment — asking not only what is, but what it is worth and what it means.

  • the parent discipline

    from Humanities

    The oldest and broadest inquiry, examining reality, knowledge, and value by argument alone. Every science was once a part of it before breaking away to stand on its own.

  • the human past

    from Humanities

    The disciplined study of the human past from surviving evidence — reconstructing what happened, why, and what it meant, and forming our collective memory.

  • the science of language

    from Humanities

    The systematic study of human language — its sounds, structure, meaning, and change. Straddling humanities and cognitive science, it treats language as both artefact and faculty.

  • written art

    from Humanities

    The study and art of written works — poetry, drama, and prose — and how they make and carry meaning. It preserves the imaginative record of human experience.

Applied sciences

  • knowledge put to use

    from Systematic Knowledge

    The fields that turn scientific understanding into technology and practice, solving concrete problems. They feed discoveries back into the pure sciences that inspired them.

  • design & building

    from Applied Sciences

    The application of physical and mathematical science to design and build structures, machines, and systems — turning natural laws into reliable, useful things.

  • computation & information

    from Applied Sciences

    The study of computation, algorithms, and information — part formal science, part engineering. From logic's foundations it grew into the discipline reshaping every other field.

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