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In the last three decades of the nineteenth century, Georg Cantor developed several ingenious methods by which characteristic differences between infinite sets of numbers were discovered and demonstrated: the sets of natural, integer, rational, and algebraic numbers are countable, while the sets of irrational, transcendental, and real numbers are uncountable.

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Georg Cantor—Explorer of the Infinite

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  • 发表日期：

    2026年

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  • Heinz Klaus Strick

摘要

In the last three decades of the nineteenth century, Georg Cantor developed several ingenious methods by which characteristic differences between infinite sets of numbers were discovered and demonstrated: the sets of natural, integer, rational, and algebraic numbers are countable, while the sets of irrational, transcendental, and real numbers are uncountable.