The Emergence Machine

Theorem

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

A theorem is a statement that has been rigorously demonstrated to be true through logical reasoning and proof, relying on the abstract system of elements with defined operations and relationships.

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Wiktionary senses

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

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

Historical origin

Origin word
theorema
Origin language
grc

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL6L5L4L3L2L1L0TheoremProofLogicCausalityMathematical Str…FormOperationStructureActionMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

used byprerequisitesCatalans Conject…L7Erdősgraham Prob…L7Cap TheoremL10TheoremL6Mathematical Str…L3ProofL5E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Mathematical Structure L3 (requires)
    mathematical structure is a core concept needed to understand theorem
  • Proof L5 (requires)
    A theorem is a statement proven through logical reasoning and proof.

Used by