The Emergence Machine

Catalans Conjecture

abstract · Philosophy · Level 7 · E9

E9Cultures

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

The catalans conjecture is a theorem about consecutive powers, which 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, and the concept of form, which is the shape or arrangement that matter takes, as the particles that make up matter interact and transform in space.

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Wiktionary senses

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

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Source: Wiktionary — “Catalan's conjecture”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Catalan's conjecture
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL7L6L5L4L3L2L1L0Catalans Conject…TheoremProofLogicCausalityMathematical Str…FormOperationStructureActionMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesCatalans Conject…L7FormL2StructureL2TheoremL6E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Form L2 (requires)
    catalans conjecture requires understanding form as a foundational concept
  • Structure L2 (requires) organization sense
    catalans conjecture requires understanding structure as a foundational concept
  • Theorem L6 (requires)
    Theorem about consecutive powers.