Yeah, but there are different sizes of infinities - for example there isn't a 1 to 1 mapping from the integers to the real numbers, so there are more real numbers than integers - however there is a 1 to 1 mapping from the integers to the rational numbers, so there are the same number of integers as there are fractions. The question is really is the infinity of points that makes up the square larger than the infinity of points that makes up the line. Thanks for reading!
RE: Are there more points on a line or in a square? - Intresting bits of mathematics - week -2