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In graph Frontier

Subset

A set A is a subset of B when every element of A is also in B — the basic ordering of set theory.

At a glance

Type
structure
Mental models 0
Role in the graph
Connector

Key signals

Cross-disciplinary reach
Disciplines
2
  • Set Theory
  • Mathematics
Evidence & development

Dependencies

What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.

Enables · leads to

Power Setdepends onSubsetEstablished

Open Power Set →

Power Set depends on Subset.

System context

Subsetis part ofSetEstablished

Open Set →

A subset is contained in a set.

Mechanism: Every element of the subset is also an element of the larger set.

Subsetis aSetEstablished

Open Set →

Subset is a kind of Set.

Empty Setis aSubsetEstablished

Open Empty Set →

Empty Set is a kind of Subset.

Mechanism: The empty set is a subset of every set.

Structural role & consequence

Interpreted from the current atlas graph — what the connections mean, not just how many there are.

  • Currently dark in the atlas: no verified source · no key date stored · 4 of 4 of its relations lack claim-level evidence.

    atlas representation · Describes the current Thinking OS representation, not the state of the world.

  • Structural neighbourhood: 3 → 14 → 30 concepts reachable within 3 hops.

    structural · Structural reach — being reachable is not the same as being understood.

  • All 3 of its relationships stay within its own discipline — a field-specific concept in the current atlas.

    structural · Structural graph analysis — not a claim of importance, causation or history.

0%

cross-field
3 within-field, 0 cross-field

0 of 4 relations carry evidence · concept unsourced

Strengths & constraints

Constraints

  • Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
  • No dated history stored — the atlas records no key date for this concept. atlas representation

Conditions

  • Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural

Dependency radial

What this concept builds on (left) and what it makes possible (right) — derived from dependency and causal relations.

Power SetSubset◀ builds onenables ▶

What builds on this

1 concept build on this directly, 1 in total, across 1 discipline.

Set Theory

Structural downstream reach along dependency edges — not a claim of historical necessity.

Seen through each discipline

How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.

Set Theory

Through this lens it connects to Set, Set, Power Set and Empty Set.

Subset through the Set Theory lens

Mathematics

Through this lens it connects to Set and Set.

Subset through the Mathematics lens

Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.

The scientific picture
  • Connects 3 other ideas across 2 disciplines.
  • Most of its connections are of the “Kind & structure” kind.

Derived from the graph’s real structure — observations, not a score.

Sources

No primary source is attached to this concept yet. In a real deployment this would be required before publication.