ID:24965
 
Abhishake: If you take all the numbers from 0 to 1 - you form a continuum of infinite numbers
Abhishake: Let's consider 3 numbers in the continuum, 0.123, 0.456 and 0.789.
Abhishake: Now let's say I pick a number whose first digit is 1 greater than the first number in the continuum
Abhishake: Let's say the first number was 0.123, then the first digit of my number is 0.2...
Abhishake: And the second digit of my number is one greater than the second digit of the second number in the continuum
Abhishake: The second number in the continuum = 0.456
Abhishake: So now my new number is 0.26...
Abhishake: The third digit is 1 greater than the third digit of the third number
Abhishake: The third number = 0.789
Abhishake: So my number is now 0.260...
Abhishake: So my new number 0.260... is different than 0.123 because the first digit is different
Abhishake: 0.260... is different than 0.456 because the second digit is different
Abhishake: 0.260... is different than 0.789 because the third digit is different
Abhishake: If you do this for the whole continuum
Abhishake: You will have produced a number that isn't part of the continuum
Abhishake: And since we said the continuum has ALL the numbers
Abhishake: There are numbers greater than infinity.

The book I mentioned below was going on about this.

Look up aleph null + the continuum hypothesis if you don't believe me =(.