query: Hungerford's statement in what is class in Gödel-Bernays axiomatic set theory.
positive_passages.docid: 152827
positive_passages.text: Defeating Russell's paradox
negative_passages.docid: 85338
negative_passages.text: Equivalence relations on classes instead of sets
negative_passages.docid: 29755
negative_passages.text: Power set equivalency of Axiom of Choice
negative_passages.docid: 45878
negative_passages.text: Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms
negative_passages.docid: 124107
negative_passages.text: Motivation behind the definition of ideal class group
negative_passages.docid: 135760
negative_passages.text: Can proper classes also have cardinality?
negative_passages.docid: 29744
negative_passages.text: Compactness and axiomatisability
negative_passages.docid: 109054
negative_passages.text: Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 49147
negative_passages.text: Showing that the class of all sets of a particular cardinality is not a set.
negative_passages.docid: 31212
negative_passages.text: The existence of the empty set is an axiom of ZFC or not?
negative_passages.docid: 38726
negative_passages.text: What set theory axioms do I need to believe in uncountable ordinals?
negative_passages.docid: 17624
negative_passages.text: Axiom of Choice iff Every set has a choice function
negative_passages.docid: 20556
negative_passages.text: Isomorphism between two models of Hilbert's Axioms with different notions of congruence
negative_passages.docid: 9330
negative_passages.text: Meaning behind Filter in Set Theory
negative_passages.docid: 58267
negative_passages.text: Godel's pairing function and proving c = c*c for aleph cardinals
negative_passages.docid: 78228
negative_passages.text: Hausdorff Maximal Principle and Axiom of Choice