Galileo's paradox
id:
galileo-s-paradox-172-10040096
title:
Galileo's paradox
text:
Galileo's paradox is a demonstration of one of the surprising properties of infinite sets. In his final scientific work, Two New Sciences, Galileo Galilei made apparently contradictory statements about the positive integers. First, a square is an integer which is the square of an integer. Some numbers are squares, while others are not; therefore, all the numbers, including both squares and non-squares, must be more numerous than just the squares. And yet, for every number there is exactly one sq
brand slug:
wiki
category slug:
encyclopedia
description:
Paradox in set theory
original url:
https://en.wikipedia.org/wiki/Galileo%27s_paradox
date created:
2003-10-12T04:38:46Z
date modified:
2024-09-01T21:16:59Z
main entity:
{"identifier":"Q2915190","url":"https://www.wikidata.org/entity/Q2915190"}
image:
fields total:
13
integrity:
15