The Emergence Machine

Limit

abstract · Mathematics · Level 6 · 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

A limit is the value that a sequence or function approaches as its terms progress, describing the behavior of the quantity as it tends towards a specific value.

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Wiktionary senses

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

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

Historical origin

Origin word
limes
Origin language
la

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL6L5L4L3L2L1L0LimitSequenceNumberBuildingFormInfinityOperationStructureActionMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesLimitL6InfinityL2SequenceL5E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Infinity L2 (requires)
    A limit describes the behavior of a function as values approach infinity.
  • Sequence L5 (requires)
    A limit describes the value that a sequence approaches as its terms progress.