Galileo's Paradox Definition

A demonstration of a surprising property of infinite sets. Some positive integers are squares while others are not; therefore, all the numbers, including both squares and non-squares, must be more numerous than just the squares; yet for every square there is exactly one positive number that is its square root , and for every number there is exactly one square; hence, there cannot be more of one than of the other.


Origin of Galileo's Paradox

  • Named after the scientist Galileo, though he did not originate the concept.

    From Wiktionary

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