So, you can show the Real numbers between 0 and 1 is larger than the number of Natural numbers.<p>There are an infant number of points between 0 and 1 and an infinite number of points between 0 and 2.  The distance between 0 and 2 is larger.  The number of points between 0 and 1 is smaller than the number of points on the unit circle AND they are a different class of infinity.