Monetae cudendae ratio is a paper on coinage by which Renaissance- and Reformation-era mathematician and astronomer who formulated a model of the universe that placed the Sun rather than the Earth at the center of the universe?
Monetae cudendae ratio Monetae cudendae ratio (also spelled Monetæ cudendæ ratio; English: On the Minting of Coin or On the Striking of Coin; sometimes, Treatise on Money) is a paper on coinage by Nicolaus Copernicus (Polish: Mikołaj Kopernik). It was written in 1526 at the request of Sigismund I the Old, King of Poland, and presented to the Prussian Diet.
Galileo's paradox Galileo's paradox is a demonstration of one of the surprising properties of infinite sets. The ideas were not new with him, but his name has come to be associated with them. In his final scientific work, "Two New Sciences", Galileo Galilei made apparently contradictory statements about the positive integers. First, 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 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. This is an early use, though not the first, of the idea of one-to-one correspondence in the context of infinite sets.