The Emergence Machine

Schinzels Hypothesis H

abstract · Philosophy · Level 11 · 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

Schinzels' hypothesis H emerges as a number theory conjecture that, for any finite set of nonconstant irreducible integer polynomials with positive leading coefficients, either they are simultaneously prime infinitely often, or else a fixed divisor always divides at least one of them, which is a complex pattern that arises from the interaction of theory and mathematical concepts.

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Wiktionary senses

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

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Source: Wiktionary — “Schinzel's hypothesis H”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Schinzel's hypothesis H
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL11L10L9L8L3L2L1L0Schinzels Hypoth…TheoryKnowledgeThoughtCellLeopoldts Conjec…Understand… intermediate l…FormInformationLifeProcessActionChangeMatterEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesSchinzels Hypoth…L11Leopoldts Conjec…L3TheoryL10E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Leopoldts Conjecture L3 (requires)
    leopoldts conjecture is a core concept needed to understand schinzels hypothesis h
  • Theory L10 (requires) polysemous
    Number theory conjecture that, for any finite set of nonconstant irreducible integer polynomials with positive leading coefficients, either they are simultaneously prime infinitely often, or else a fixed divisor always divides at least one of them.