The Emergence Machine

Pillais Conjecture

abstract · Philosophy · Level 4 · 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 gaps in perfect powers tend to infinity, as revealed by the patterns that govern Leopold's conjecture, which takes shape as form transforms and interacts with structure.

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Wiktionary senses

External reference — all senses of the word “Pillai'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 — “Pillai's conjecture”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Pillai's conjecture
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL4L3L2L1L0Pillais ConjectureLeopoldts Conjec…FormInfinityStructureMatterQuantityEnergyPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesPillais ConjectureL4InfinityL2Leopoldts Conjec…L3E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Infinity L2 (requires)
    Conjecture that the gaps in perfect powers tend to infinity.
  • Leopoldts Conjecture L3 (requires)
    leopoldts conjecture is a core concept needed to understand pillais conjecture