Wikimedia neighborhood · Wikidata observation Observed Graph-projection

Paris–Harrington theorem

certain principle in Ramsey theory is true, but not provable in Peano arithmetic

Provider: Wikidata. These recorded connections are observations, not Counterpedia claims. They do not establish source support.

Data and provenance

Provider: Wikidata · Entity ID: Q7137494

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Graph membership is not truth. Each relation below is an observed typed edge the local Wikimedia graph bundle already materialized — not a corroborated, verified, or admitted claim. Bounded to 40 relations via an offset-index lookup (offset_index_binary_search), never a full scan of the bundle.Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches. A subject that is not itself in that subset carries only the relations the subset recorded for it, so a small count here is the published scope and not a complete relationship inventory.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

1-hop relations (7)

Observed adjacency only. Each spoke is a typed edge already materialized in the graph, labeled by its recorded predicate — graph proximity is not support, corroboration, or admission. The links below are the accessible, no-JavaScript path to the same neighbors.

Follow a connection

Grouped by a fixed presentation taxonomy for legibility only. The grouping asserts no rank, truth, support, or standing — every observed edge is carried, none reordered by importance.

Identity & relations (1)

→ instance of (P31)theoremObserved
Relationship details
Provider: Wikidata · Property: P31 · Direction: outgoing · Entity ID: Q65943

Other connections (6)

→ Relationship name unavailable (P14434)Peano arithmeticObserved
Relationship details
Provider: Wikidata · Property: P14434 · Direction: outgoing · Entity ID: Q49938
→ Relationship name unavailable (P6104)WikiProject MathematicsObserved
Relationship details
Provider: Wikidata · Property: P6104 · Direction: outgoing · Entity ID: Q8487137
→ part of (P361)list of theoremsObserved
Relationship details
Provider: Wikidata · Property: P361 · Direction: outgoing · Entity ID: Q944443
→ named after (P138)Leo HarringtonObserved
Relationship details
Provider: Wikidata · Property: P138 · Direction: outgoing · Entity ID: Q1818602
→ named after (P138)Jeff ParisObserved
Relationship details
Provider: Wikidata · Property: P138 · Direction: outgoing · Entity ID: Q441137
→ Relationship name unavailable (P2534)\binom{N}{n} = |\mathcal{P}_n(S)| \ge R(\,\underbrace{ m, m, \ldots , m }_k\,)Observed
Relationship details
Provider: Wikidata · Property: P2534 · Direction: outgoing

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