The Emergence Machine

Baumconnes Conjecture

abstract · Philosophy · Level 3 · E9

E9Cultures

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 Baum-Connes conjecture emerges from the interaction of action, which unfolds as a dynamic pattern of movement and transformation, resulting in a predictable and repeatable pattern of change, such as the action of mathematical reasoning, which involves structure, form, and the organized arrangement of matter, exhibiting patterns that govern its transformations and binding, and process, which unfolds as a sequence of changes driven by energy and occurring over time.

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Wiktionary senses

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

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Source: Wiktionary — “Baum–Connes conjecture”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Baum–Connes conjecture
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL3L2L1L0Baumconnes Conje…FormProcessStructureSubstanceActionChangeMatterEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesBaumconnes Conje…L3ActionL1FormL2ProcessL2StructureL2SubstanceL2E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Action L1 (requires)
    Understanding action is foundational to the process of baumconnes-conjecture
  • Form L2 (requires)
    baumconnes conjecture requires understanding form as a foundational concept
  • Process L2 (requires) Systems sense
    baumconnes conjecture requires understanding process as a foundational concept
  • Structure L2 (requires) organization sense
    baumconnes conjecture requires understanding structure as a foundational concept
  • Substance L2 (requires)
    Baum-Connes conjecture requires understanding substance as a foundational concept, but it is missing from the prerequisites.