| 11. | What does it tell us about the size of infinite sets?
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| 12. | Thus Dedekind infinite sets contain subsets that correspond bijectively with the natural numbers.
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| 13. | In general, indices can range over any indexing set, including an infinite set.
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| 14. | Unlike finite sets, some infinite sets are equinumerous to proper subsets of themselves.
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| 15. | The Cartesian product of an infinite set and a nonempty set is infinite.
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| 16. | This is the smallest T 1 topology on any infinite set.
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| 17. | :To compare the sizes of infinite sets, mathematics uses cardinal numbers.
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| 18. | The set of all cofinite subsets of an infinite set is a filter.
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| 19. | It is possible for an infinite set of integers to be pairwise coprime.
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| 20. | Frege's distinction helped to clarify the notions of a empty and infinite sets.
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