Originally Posted by Sharas
also my common sense tells me, if one number can be represented as x/y, and other can't, they aren't equal. and if one number is irrational you can't know its true value and hence can't know what is between it and some other number...and if you can't know it doesn't have to mean there isn't anything
Commen Sense wise, yeah your right...
BUt this is math, and really, commen sense isn't going to work
Mathmatically, if there is no known number between 2 numbers...The numbers must be equal
Sure, you know that 0.8r and 1 aren't the same, despite 0.8r being a repeat...Because you DO know numbers between those 2...Despite one being rational and one being irrational