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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.
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Contributions to the Founding of the Theory of Transfinite Numbers, Georg Cantor
- Jazyk
- Rok vydání
- 2010
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- Titul
- Contributions to the Founding of the Theory of Transfinite Numbers
- Jazyk
- anglicky
- Autoři
- Georg Cantor
- Vydavatel
- Martino Fine Books
- Rok vydání
- 2010
- Vazba
- měkká
- Počet stran
- 222
- ISBN10
- 1891396536
- ISBN13
- 9781891396533
- Série
- Štítky
- Naučná literatura, Historické téma, Filosofická tématika, Filosofie, Klasika, Věda, Matematika, Logika
- Anotace
- 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.