The Emergence Machine

Hilberts Sixteenth Problem

abstract · Philosophy · Level 6 · 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

A problem in the topology of algebraic curves and surfaces, although this definition is incomplete without a deeper understanding of these concepts.

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Wiktionary senses

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

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Source: Wiktionary — “Hilbert's sixteenth problem”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Hilbert's sixteenth problem
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL6L5L4L3L2L1L0Hilberts Sixteen…TopologyGeometryShapeFormStructureMatterEnergyPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesHilberts Sixteen…L6TopologyL5E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Topology L5 (requires)
    On topology of algebraic curves and surfaces.