>>12813796You just don't get it. The set of reals and the set of rationals are both infinite, but there are different orders of infinity.
By that logic, you should be even more surprised by the fact that there are as many natural numbers as there are rational numbers.
>between any two successive positive integers (n and n+1), there is an infinite number of rationals>between any two successive positive integers, there are zero positive integers>yet there are as many positive integers as there are rational numbersIn the end, is like this guy
>>12813817 said, except that Wittgenstein didn't make sense either. Really, nothing much makes sense, so you shouldn't worry too much about the details. Just stick with whatever seems to work or you will become a deranged schizo like the infamous Norman Wildberger.