Set Theory: Taming the Infinite
“I see it, but I don’t believe it!” This disbelief of Georg Cantor in his own creations exemplifies the great skepticism that his work on infinite sets inspired in the mathematical community of the late nineteenth century. With his discoveries he single-handedly set in motion a tremendous mathematical earthquake that shook the whole discipline to its core, enriched it immeasurably, and transformed it forever. Besides disbelief, Cantor encountered fierce opposition among a considerable number of his peers, who rejected his discoveries about infinite sets on philosophical as well as mathematical grounds.
KeywordsOrdinal Number Order Type Cardinal Number Continuum Hypothesis Large Cardinality
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