The Emergence Machine

Hilberts Thirteenth Problem

abstract · Philosophy · Level 3 · 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

Hilbert's Thirteenth Problem arises from the intersection of structure and form, where the organized arrangement of matter and its shape or arrangement reveal a discrepancy or mismatch between the actual state and the desired state within the spatial context, posing a challenge to be solved.

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Wiktionary senses

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

Historical origin

Origin word
Hilbert's thirteenth problem
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL3L2L1L0Hilberts Thirtee…FormStructureMatterProblemEnergyPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesHilberts Thirtee…L3ProblemL1FormL2StructureL2E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Problem L1 (requires)
    One of the 23 Hilbert problems.
  • Form L2 (requires)
    hilberts thirteenth problem requires understanding form as a foundational concept
  • Structure L2 (requires) organization sense
    hilberts thirteenth problem requires understanding structure as a foundational concept