The Emergence Machine

Set

abstract · Mathematics · Level 2 · 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 set arises as a collection of distinct elements, each with its own quantity, organized according to a specific pattern or rule.

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Wiktionary senses

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

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

Historical origin

Origin word
Menge
Origin language
German

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL2L1L0SetCollectionQuantityPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

used byprerequisitesAktion 3L7SetL2CollectionL1QuantityL1E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Collection L1 (requires)
    Collection is a fundamental aspect of a set.
  • Quantity L1 (requires)
    Sets represent collections of distinct quantities or elements.

Used by