Category:Infinite Sets
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This category contains results about Infinite Sets.
Definitions specific to this category can be found in Definitions/Infinite Sets.
A set which is not finite is called infinite.
That is, it is a set for which there is no bijection between it and any $\N_n$, where $\N_n$ is the the set of all elements of $n$ less than $n$, no matter how big we make $n$.
Subcategories
This category has the following 7 subcategories, out of 7 total.
Pages in category "Infinite Sets"
The following 20 pages are in this category, out of 20 total.
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- Set is Infinite iff exist Subsets of all Finite Cardinalities
- Set of Finite Strings is Countably Infinite
- Set of Points on Line Segment is Infinite
- Set of Subset of Reals with Cardinality less than Continuum has not Interval in Union Closure
- Set of Subsets of Reals with Cardinality less than Continuum Cardinality of Local Minimums of Union Closure less than Continuum