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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.

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Contributions to the Founding of the Theory of Transfinite Numbers, Georg Cantor

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Année de publication
2010
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11,49 €

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Titre
Contributions to the Founding of the Theory of Transfinite Numbers
Langue
Anglais
Publié
2010
Format
souple
Pages
222
ISBN10
1891396536
ISBN13
9781891396533
Séries
Description
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.