query: What is $X$, it doesn't seem to be a set in the usual mathematical sense, even though it's often referred to as one
positive_passages.docid: 8980
positive_passages.text: What is meant by a "random variable"?
negative_passages.docid: 13374
negative_passages.text: Why is "the set of all sets" a paradox, in Layman's terms?
negative_passages.docid: 144181
negative_passages.text: Given an arbitrary set $X$, can one always find an element outside $X$?
negative_passages.docid: 43814
negative_passages.text: What does it mean when a set is said to be a "finitely generated vector space"?
negative_passages.docid: 135656
negative_passages.text: Why non-measurable sets exist?
negative_passages.docid: 20706
negative_passages.text: Non-existence of a Surjective Function from a Set to Its Subsets (Cantor's theorem)
negative_passages.docid: 82487
negative_passages.text: Define a mathematical 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: 18364
negative_passages.text: When does the set enter set theory?
negative_passages.docid: 90566
negative_passages.text: There exists surjections from A onto B and vice versa, and there is no bijection between the sets?
negative_passages.docid: 100919
negative_passages.text: Examples of non-measurable sets in $\mathbb{R}$
negative_passages.docid: 50258
negative_passages.text: How can a set contain itself?
negative_passages.docid: 34913
negative_passages.text: Why does basic algebra provide one value for $x$ when there should be two?
negative_passages.docid: 153369
negative_passages.text: an "X is an X is an X" what does this mean?
negative_passages.docid: 39226
negative_passages.text: What's the meaning of a set to the power of another set?
negative_passages.docid: 151215
negative_passages.text: Paradox of General Comprehension in Set Theory, other than Russell's Paradox
negative_passages.docid: 155136
negative_passages.text: $x\in \{\{\{x\}\}\}$ or not?