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Contributions to the Founding of the Theory of Transfinite Numbers
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Georg Cantor's groundbreaking contributions to mathematics include the invention of set theory and the exploration of infinite sets. He established the concept of one-to-one correspondence, revealing that real numbers outnumber natural numbers, leading to the idea of "infinity of infinities." His work on cardinal and ordinal numbers, particularly in "Contributions to the Founding of the Theory of Transfinite Numbers," delves into the philosophical implications of continuity and the infinite, making a lasting impact on mathematical thought.
Zakup książki
Contributions to the Founding of the Theory of Transfinite Numbers, Georg Cantor
- Język
- Rok wydania
- 2010
- Oprawa
- (miękka)
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- Tytuł
- Contributions to the Founding of the Theory of Transfinite Numbers
- Język
- angielski
- Autorzy
- Georg Cantor
- Wydawca
- Martino Fine Books
- Rok wydania
- 2010
- Oprawa
- miękka
- Liczba stron
- 222
- ISBN10
- 1891396536
- ISBN13
- 9781891396533
- Seria
- Kategorie
- Opis
- Georg Cantor's groundbreaking contributions to mathematics include the invention of set theory and the exploration of infinite sets. He established the concept of one-to-one correspondence, revealing that real numbers outnumber natural numbers, leading to the idea of "infinity of infinities." His work on cardinal and ordinal numbers, particularly in "Contributions to the Founding of the Theory of Transfinite Numbers," delves into the philosophical implications of continuity and the infinite, making a lasting impact on mathematical thought.