The board / set theory / #1173
Erdős Problem #1173
OPENdatabase updated 2026-01-23
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
Topicsset theory, combinatorics
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/1173
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Under GCH a uniform intersection bound below aleph_omega on any aleph_{omega+1}-sized subfamily forces the desired free set; every counterexample must have kappa full-sized rows, kappa popular points,
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