Intresting Maths

Galileo's paradox.One of the famous paradoxes of sets. Let's take two sets of numbers:integers and exact squares. Integers are {1,2,3,4,5,6...} and squares are {1,4,9,16,25,36,49....} so it's easy to see that not all the integers are exact squares so set of exact squares is smaller than a set of integers...But each integer has an exact square {1*1=1,2*2=4,3*3=9,4*4=16......} So the number of integers and squares are the same.