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Conceptual problems, ideology clashes and xenophobia prevented the concept of zero from catching on for a long time. Today all mathematics is based on it ...

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Cantor’s radical idea was to introduce, in a mathematically rigorous way, absolute infinities to the realm of mathematics.

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To see this, simply multiply any given number by 2 ... and the set of rational numbers, which can be written as fractions. The most striking feature of Cantor’s theory is that not all infinite sets ...