infinite set in a sentence

Examples

1. What does it tell us about the size of infinite sets?
2. Thus Dedekind infinite sets contain subsets that correspond bijectively with the natural numbers.
3. In general, indices can range over any indexing set, including an infinite set.
4. Unlike finite sets, some infinite sets are equinumerous to proper subsets of themselves.
5. The Cartesian product of an infinite set and a nonempty set is infinite.
6. This is the smallest T 1 topology on any infinite set.
7. :To compare the sizes of infinite sets, mathematics uses cardinal numbers.
8. The set of all cofinite subsets of an infinite set is a filter.
9. It is possible for an infinite set of integers to be pairwise coprime.
10. Frege's distinction helped to clarify the notions of a empty and infinite sets.