query: Confusion in set-theory: Definition of formulas needs set
positive_passages.docid: 18364
positive_passages.text: When does the set enter set theory?
negative_passages.docid: 17624
negative_passages.text: Axiom of Choice iff Every set has a choice function
negative_passages.docid: 71653
negative_passages.text: Why is the Cartesian product of a set $A$ and empty set an empty set?
negative_passages.docid: 19138
negative_passages.text: If every object in math can be reduced to sets, how are tuples explained via sets?
negative_passages.docid: 86248
negative_passages.text: Is $\exists x(x=a)$ a valid formula in first order logic with equality?
negative_passages.docid: 144266
negative_passages.text: set theory proof of $A\cap B = A \setminus(A\setminus B)$
negative_passages.docid: 74860
negative_passages.text: Why is the empty set a subset of every set?
negative_passages.docid: 31212
negative_passages.text: The existence of the empty set is an axiom of ZFC or not?
negative_passages.docid: 7785
negative_passages.text: Cardinality of sum-set
negative_passages.docid: 16796
negative_passages.text: Zermelo-Fraenkel set theory and Hilbert's axioms for geometry
negative_passages.docid: 13374
negative_passages.text: Why is "the set of all sets" a paradox, in Layman's terms?
negative_passages.docid: 54497
negative_passages.text: Set Notation - Inclusion and Proper Inclusion
negative_passages.docid: 123613
negative_passages.text: Double Complement of a set proof
negative_passages.docid: 120376
negative_passages.text: Schema of separation and set of all sets
negative_passages.docid: 151215
negative_passages.text: Paradox of General Comprehension in Set Theory, other than Russell's Paradox
negative_passages.docid: 98386
negative_passages.text: First-order logic and second-order logic confusion
negative_passages.docid: 142045
negative_passages.text: What's the definition of limit of sets(esp. ordinals) in set theory?