The Emergence Machine

Calculus

abstract · Mathematics · Level 4 · E0

E0Spacetime

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

Calculus emerges from the understanding of structure, where organized arrangement of matter and form give rise to the precise, deterministic relationships between inputs and outputs that functions describe, allowing for the study of rates of change and accumulation.

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Wiktionary senses

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

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

Historical origin

Origin word
calculus
Origin language
la

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL4L3L2L1L0CalculusFunctionFormProcessStructureActionChangeMatterEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesCalculusL4FormL2StructureL2FunctionL3E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Form L2 (requires)
    Understanding form helps understand the structure of calculus
  • Structure L2 (requires) organization sense
    Understanding structure is essential for grasping calculus
  • Function L3 (requires)
    Functions are the primary objects of study in calculus, describing how input values map to output values.