evidence boundary
supportsfrontiers / frontier
Erdős problems frontier
- 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
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_0178f8a0047e479a"}
- id
- vea_ee842ed28859cfb6
- frontier
- Erdős problems frontier
- source
- vs_14aaab40778a18a4
- finding
- vf_c15f0626f8a26a96
finding binding
boundopen_question
Erdős Problem #1167 remains OPEN. Statement: **Erdős Problem 1167.** Let $r \geq 2$ be finite and $\lambda$ be an infinite cardinal. Let $\kappa_\alpha$ be cardinals for all $\alpha < \gamma$. Is it true that $$2^\lambda \to (\kappa_\alpha + 1)_{\alpha < \gamma}^{r+1}$$ implies $$\lambda \to (\kappa_\alpha)_{\alpha < \gamma}^r?$$ Here $+$ means cardinal addition, so that $\kappa_\alpha + 1 = \kappa_\alpha$ if $\kappa_\alpha$ is infinite. A problem of Erdős, Hajnal, and Rado. Topics: set theory, probability. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_0178f8a0047e479a
vs_14aaab40778a18a4
review context
unverified1 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_0178f8a0047e479a"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_d337e20fc94b62a1
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_e290ce310577ededfinding.assertedCandidate claim vc_0178f8a0047e479a imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_5c7f306a267b2f1ffinding.addCandidate claim vc_0178f8a0047e479a imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.