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    Infinity

    Basic definition

    Infinity is an unbounded quantity greater than every real (and every whole) number.

    Detailed definition

    Infinity, most often denoted as ∞, is an unbounded quantity that is greater than every real number. The symbol ∞ had been used as an alternative to M (1000) in Roman numerals until 1655, when John Wallis suggested it be used instead for infinity. Infinity is a very tricky concept to work with, as evidenced by some of the counterintuitive results that follow from Georg Cantor's treatment of infinite sets.

    Related Wolfram Language symbol

    Infinity

    Educational grade level

    high school level (California mathematical analysis standard)