The Emergence Machine

Erdősgraham Problem

abstract · Philosophy · Level 7 · 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

The Erdős-Graham problem is a famous unsolved problem in number theory, which deals with the existence of finite sets of positive integers greater than 1 whose inverses sum to 1.

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Wiktionary senses

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

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Source: Wiktionary — “Erdős–Graham problem”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Erdős–Graham problem
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL7L6L5L4L3L2L1L0Erdősgraham Prob…TheoremProofLogicCausalityMathematical Str…FormOperationStructureActionExistenceMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesErdősgraham Prob…L7ExistenceL1TheoremL6E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Existence L1 (requires)
    Theorem on the existence of finite sets of positive integers >1 whose inverses sum to 1.
  • Theorem L6 (requires)
    Theorem on the existence of finite sets of positive integers >1 whose inverses sum to 1.