Let there be m real numbers greater than 1, be called a set S. If we reciprocate every element in set S, all the numbers will lie between 0 to 1. Hence, number of real numbers between 0 to 1 is m.
1.Now, let us consider the number of real number between 1 to 2 be n. It is obvious that m>n.
2.If we add 1 to all the elements in set S we get a new set of real number (be called a set Q) which has all it's elements between 1 to 2 and the number of elements is m (as we are adding 1 to all the elements in set S).
In para (1) we are saying number of that the number of real numbers between 1 to 2 is n (which is less than m) and in para (2) we are saying that number of real number between 1 to 2 is m.
Why are these two contradicting each other?
And how can there be equal number of real number between 0 to 1 and 1 to infinity?