Speakur

Word Pronunciation & Dictionary

galileo's paradox

Word Rarity Very rare

Frequency: Zipf frequency 2.08 in modern English

Syllables
galileo's -para-dox
IPA
26
Scrabble Score
15
Letters
3
Syllables
11
Unique Chars

Meaning

name

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.

Etymology

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

Questions

What does galileo's paradox mean?
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.
Where does galileo's paradox come from?
Named after the scientist Galileo, though he did not originate the concept.

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