query: Aronszajn tree for infinite singular cardinal
positive_passages.docid: 151521
positive_passages.text: Set Theory: Tree Property
negative_passages.docid: 3217
negative_passages.text: Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
negative_passages.docid: 19924
negative_passages.text: Uncountable ordinals without power set axiom
negative_passages.docid: 13779
negative_passages.text: Canonical copies of sets
negative_passages.docid: 86421
negative_passages.text: Proof of the definition of cardinal exponentiation
negative_passages.docid: 32081
negative_passages.text: The dual version of trichotomy of cardinality without AC
negative_passages.docid: 52451
negative_passages.text: Ordered Triples and Set Theory
negative_passages.docid: 106455
negative_passages.text: intersection of infinite collection of finite sets?
negative_passages.docid: 118390
negative_passages.text: Symbol for the cardinality of the continuum
negative_passages.docid: 74281
negative_passages.text: Proof there is no largest cardinal number
negative_passages.docid: 38764
negative_passages.text: bound on the cardinality of the continuum? I hope not
negative_passages.docid: 32965
negative_passages.text: Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$
negative_passages.docid: 137883
negative_passages.text: Cardinality of the set of all (real) discontinuous functions
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 20085
negative_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 272
negative_passages.text: Cantor Sets/nonempty/cardinality