query: cardinality of a set of finite sequences of natural numbers
positive_passages.docid: 23907
positive_passages.text: $Seq (\mathbb{N})$ of all finite sequences of elements of $\mathbb{N}$ is countable.
negative_passages.docid: 20085
negative_passages.text: What's the cardinality of all sequences with coefficients in an infinite set?
negative_passages.docid: 109968
negative_passages.text: Let $X= \{ A \subset \mathbb{N} : \mathbb{N} \backslash A \text{ is finite}\}$. What is the cardinality of $X$? Prove it.
negative_passages.docid: 123847
negative_passages.text: Cardinality of $GL_n(K)$ when $K$ is finite
negative_passages.docid: 41661
negative_passages.text: Show that the set of all finite subsets of $\mathbb{N}$ is countable.
negative_passages.docid: 122947
negative_passages.text: What is the cardinality of the set of infinite cardinalities?
negative_passages.docid: 127233
negative_passages.text: Cardinality of order types in $\mathbb{N}$
negative_passages.docid: 70164
negative_passages.text: Proof exercise that the cardinal number of a set in $\mathbb R^2$ is $\frak c$
negative_passages.docid: 3217
negative_passages.text: Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
negative_passages.docid: 24582
negative_passages.text: Is the set of sequences of natural numbers with trailing zeros countable?
negative_passages.docid: 151928
negative_passages.text: How to prove that $N\setminus A$ is finite?
negative_passages.docid: 77171
negative_passages.text: How to find unique multisets of n naturals of a given domain and their numbers?
negative_passages.docid: 9651
negative_passages.text: Cardinality of cartesian product of an infinite set with N
negative_passages.docid: 144735
negative_passages.text: Possible cardinality of power sets
negative_passages.docid: 66301
negative_passages.text: The cardinality of the set of countably infinite subsets of an infinite set
negative_passages.docid: 73850
negative_passages.text: Cardinality of set of functions
negative_passages.docid: 72402
negative_passages.text: Summation of natural number set with power of $m$