The Emergence Machine

Hard

property · Physical · Level 4 · E3

E3Chemistry

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

Hardness emerges as the resistance of a material to deformation, building on the existence of matter and the ability to quantify extent.

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Wiktionary senses

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

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Source: Wiktionary — “hard”. Content available under CC BY-SA 4.0.

Historical origin

Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL4L3L2L1L0HardMaterialFormSubstanceExtentMatterQualityQuantityEnergyPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

used byprerequisitesRigidL5HardL4ExtentL1QualityL1MaterialL3E1 concrete → E14 abstract

In other languages

  • hard English primary

Prerequisites

What you need to understand first.

  • Extent L1 (requires)
    Hardness can be measured in terms of extent of deformation.
  • Quality L1 (requires)
    Hardness is a quality of a material.
  • Material L3 (requires)
    Hardness is resistance of a material to deformation

Used by