Search Results for: Fodder roots
supported through axiomatic investigations of arithmetic). according to galileo, many of the natural numbers have squares, i.e. products resulting from the even multiplication of numbers into themselves. thus, we have another set, the squares { , , , ...} and galileo writes: [if] i inquire how many roots
there are, it cannot be denied that there are as many as the numbers because every number is the root of some square. this being granted, we must say that there are as many squares as there are numbers because they are just as numerous as their roots, and all the numbers are roots. yet at the outset...
http://infinityonline.valzorex.com/galileo.html
supported through axiomatic investigations of arithmetic). according to galileo, many of the natural numbers have squares, i.e. products resulting from the even multiplication of numbers into themselves. thus, we have another set, the squares { , , , ...} and galileo writes: [if] i inquire how many roots
there are, it cannot be denied that there are as many as the numbers because every number is the root of some square. this being granted, we must say that there are as many squares as there are numbers because they are just as numerous as their roots, and all the numbers are roots. yet at the outset...
https://infinityonline.valzorex.com/galileo.html