Galileo's Paradox
There are exactly as many square numbers as there are numbers, even though almost every number is not a square.
163813 min read
Italian natural philosophy and mathematics
Galileo Galilei
1564 – 1642
Pisan mathematician, astronomer and physicist. Beyond the telescope and the law of falling bodies, his final book — the Discorsi of 1638, written under house arrest — contains the first clear statement that the squares can be matched one-for-one with the whole numbers, and the first honest account of why that ought to worry you.