query: How is it possible to have a model of a set theory?
positive_passages.docid: 20004
positive_passages.text: Meta Theory when studying Set Theory
negative_passages.docid: 12449
negative_passages.text: How to formulate continuum hypothesis without the axiom of choice?
negative_passages.docid: 5964
negative_passages.text: Are there areas of mathematics (current or future) that cannot be formalized in set theory?
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets
negative_passages.docid: 130771
negative_passages.text: Sets and the principle of inclusion and exclusion
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 50506
negative_passages.text: What concept does an open set axiomatise?
negative_passages.docid: 144899
negative_passages.text: Do We Need the Axiom of Choice for Finite Sets?
negative_passages.docid: 20140
negative_passages.text: Example of set which contains itself
negative_passages.docid: 152382
negative_passages.text: Can an infinite set A be larger than an infinite set B but still have the same cardinality?
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: 7733
negative_passages.text: If A is infinite, does there have to exist a subset of A that is equivalent to A?
negative_passages.docid: 22482
negative_passages.text: How can an ordered pair be expressed as a set?
negative_passages.docid: 158882
negative_passages.text: Prove the existence of some weird family of sets
negative_passages.docid: 149506
negative_passages.text: How much set theory and logic should typical algebraists/analysts/geometers know? (soft-question)
negative_passages.docid: 9330
negative_passages.text: Meaning behind Filter in Set Theory