"Galileo's paradox" meaning in All languages combined

See Galileo's paradox on Wiktionary

Proper name [English]

Etymology: Named after the scientist Galileo, though he did not originate the concept. Head templates: {{en-proper noun}} Galileo's paradox
  1. (set theory) 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. Wikipedia link: Galileo's paradox Categories (topical): Set theory
    Sense id: en-Galileo's_paradox-en-name-40DduvgY Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Infinity, Paradoxes Topics: mathematics, sciences, set-theory
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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