Concept

Galileo's paradox

Overview

not all numbers are squares, so all the numbers, including both squares and non-squares, must be more numerous than just the squares; yet, for every number there is exactly one square, so there cannot be more of one than of the other

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

Related ideas

• Georg Cantor
• Infinite set
• Galileo Galilei
• Cantor's theorem
• Duns Scotus
• Dover Publications

Place in the tradition

Part of Fallibilism.

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