The Emergence Machine

Algebra

abstract · Mathematics · Level 6 · E10

E10Institutions

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

Algebra is the branch of mathematics that uses variables and equations to solve for unknown values and describe numerical relationships through symbolic manipulation and logical reasoning.

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Wiktionary senses

External reference — all senses of the word “algebra” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “algebra”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
al-jabr
Origin language
ar

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL6L5L4L3L2L1L0AlgebraVariableDataStorageSoftwareSystemEquationFormInformationStructureChangeMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

used byprerequisitesRing MathL7Adjoint Represen…L11AlgebraL6EquationL2FormL2StructureL2VariableL5E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Equation L2 (requires)
    Algebraic manipulation relies on understanding equations as they are the foundation of algebraic problem-solving.
  • Form L2 (requires)
    Understanding form helps understand the structure of algebra
  • Structure L2 (requires) organization sense
    Algebra is a mathematical structure involving operations and relationships.
  • Variable L5 (requires)
    Variables are symbolic placeholders that represent unknown quantities in algebraic expressions and equations.

Used by