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Problem 623
Let be a set of cardinality and be a function from the finite subsets of to such that for all . Must there exist an infinite that is independent - that is, for all finite we have ?
Source: erdosproblems.com/623
- Set theory
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Claimed, IndependentA full solution has been claimed but not yet accepted. The statement can be neither proved nor disproved from the standard axioms of set theory.
Open. The site's label is OPEN; the results claimed against the problem are recorded on the claim pages, and the standing in the frontmatter is derived from them.