Similarly, take an infinite amount of numbers in order. Then take the 'odd' numbers away. How many are you left with? Many people would say "half of infinity", because you only have the 'even' half left. But the answer is still infinity. There are an infinite amount of 'even numbers' (and 'odd' numbers).
If you get the 'odd' numbers back, you wouldn't have double the amount of numbers, you would still have an infinite amount of numbers in total.
Just ignore me (moody sulking-Drew). When ya gotta sleep, ya gotta sleep. So if ya body says get into bed and don't spend all night frantically tossing back and forth (TWSS!), ya just gotta get into bed and lie there rigid until ya get off (TWHS!).