2011 | OriginalPaper | Buchkapitel
Countable and Uncountable Sets
verfasst von : Ulrich Daepp, Pamela Gorkin
Erschienen in: Reading, Writing, and Proving
Verlag: Springer New York
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Having mastered finite sets, we now turn to understanding the infinite. We know that ℕ is infinite, and we know that ℚ is infinite (see Problem 22.8). Are they equivalent? In some sense, we can count ℕ and it may feel as though we cannot count ℚ—that is, as though we cannot list a first element, second element, third element, and so on. However, we shall see that ℚ and ℕ are, in fact, equivalent.