query: Mathematicians Measure Infinities, and Find They're Equal!
positive_passages.docid: 108028
positive_passages.text: Is there a bijection between the reals and naturals?
negative_passages.docid: 23608
negative_passages.text: Prove the set of all infinite binary sequences is uncountable by using Cantor's theorem.
negative_passages.docid: 70940
negative_passages.text: Homework - set theory infinite union
negative_passages.docid: 102202
negative_passages.text: The smallest infinity and the axiom of choice
negative_passages.docid: 69534
negative_passages.text: Measure of the Cantor set plus the Cantor set
negative_passages.docid: 150140
negative_passages.text: Show that every nonzero integer has balanced ternary expansion?
negative_passages.docid: 43197
negative_passages.text: Showing that two definitions of $\limsup$ are equivalent
negative_passages.docid: 83518
negative_passages.text: Proving Two sets have same cardinality
negative_passages.docid: 17375
negative_passages.text: When is the limit of a sum equal to the sum of limits?
negative_passages.docid: 41192
negative_passages.text: Neatest proof that set of finite subsets is countable?
negative_passages.docid: 32965
negative_passages.text: Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
negative_passages.docid: 142631
negative_passages.text: Show that A has the same cardinality as $A\setminus\{x,y,z\}$
negative_passages.docid: 3979
negative_passages.text: Limit comparison test proof
negative_passages.docid: 43044
negative_passages.text: All natural numbers are equal.
negative_passages.docid: 114770
negative_passages.text: Proof that a perfect set is uncountable
negative_passages.docid: 142840
negative_passages.text: Open axioms of equality
negative_passages.docid: 65316
negative_passages.text: Explaining Infinite Sets and The Fault in Our Stars