Transfinite number: Difference between revisions
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He showed that the rational numbers are [[countable set|countable]] while the real numbers are not, | He showed that the rational numbers are [[countable set|countable]] while the real numbers are not, | ||
and initiated the study of infinite numbers, now a major branch of [[set theory]]. | and initiated the study of infinite numbers, now a major branch of [[set theory]]. | ||
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Latest revision as of 06:01, 30 October 2024
A transfinite number is an infinite cardinal or ordinal number. (However, often simply infinite (cardinal or ordinal) number is used instead.) The term was first used by Georg Cantor when he discovered different "sizes" of the infinite. He showed that the rational numbers are countable while the real numbers are not, and initiated the study of infinite numbers, now a major branch of set theory.