Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
id
vfr_37aec80d874a0239
license
CC-BY-4.0
findings
1,256
accepted core
6
contested
0
links
17
sources
1,234
evidence
1,256
avg conf
0.98

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_2fd3ade117743d03"}

id
vea_360ddc400b6ff47c
frontier
Erdős problems frontier
source
vs_9635ea403a1254d8
finding
vf_09b1a48e9ae0cb38

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #623 remains OPEN. Statement: Let $X$ be a set of cardinality $\aleph_\omega$ and $f$ be a function from the finite subsets of $X$ to $X$ such that $f(A)\not\in A$ for all $A$. Must there exist an infinite $Y\subseteq X$ that is independent - that is, for all finite $B\subset Y$ we have $f(B)\not\in Y$? Topics: set theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_2fd3ade117743d03

vs_9635ea403a1254d8

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_2fd3ade117743d03"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_40154b31f28fece8

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_71e853ca31ea1636finding.asserted

    Candidate claim vc_2fd3ade117743d03 imported from artifact packet cap_61973ee16b553d57

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_53ad5a45c586e4b5finding.add

    Candidate claim vc_2fd3ade117743d03 imported from artifact packet cap_61973ee16b553d57

    agent — machine actor, no signing keyapplied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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