frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős Problem #592 remains OPEN. Statement: Determine which countable ordinals $β$ have the property that, if $α = \omega^β$, then in any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$. Topics: set theory, ramsey theory. Erdős prize: $1000. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
A proposal; no authority until an accepted review event.
accept gate
0 of 4 on recordtimeline
vpr_760198e68ab754aaSEMANTIC-EDGE DRAFT -> Erdos #598 (vf_3be6fbb0bb72199c) [shares_technique, confidence 0.55]: Both are partition-calculus questions about arrow relations on infinite structures (592 on K_{ω^β} for countable ordinals, 598 on K_κ for κ=(2^{ℵ_0})^+), solved by the same Erdős–Rado ordinal/cardinal partition machinery. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.proposed
reason
SEMANTIC-EDGE DRAFT -> Erdos #598 (vf_3be6fbb0bb72199c) [shares_technique, confidence 0.55]: Both are partition-calculus questions about arrow relations on infinite structures (592 on K_{ω^β} for countable ordinals, 598 on K_κ for κ=(2^{ℵ_0})^+), solved by the same Erdős–Rado ordinal/cardinal partition machinery. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.
provenance
proposed by
agent:semantic-edge-extractor
actor type
human
created at
2026-06-10
target type
finding
affected
inspect finding →Erdős Problem #592 remains OPEN. Statement: Determine which countable ordinals $β$ have the property that, if $α = \omega^β$, then in any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$. Topics: set theory, ramsey theory. Erdős prize: $1000. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
vf_adb50d657b7bed82Read-only frontier; diff not recomputed.
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.
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