Quote:
Originally Posted by SarK0Y
Ã…ctually, no :) 2 is 2, but when you deal with rationals you cannot treat them like natural numbers. for example..
<<some red herring>>

Don't get distracted.
Observe: a p/q is a rational number, where p
is an integer and q
is an integer..
Done with rationals. Now all you have are integer numbers until the end of Euclid's proof.
Now, are you saying that it's not true that all integer numbers are either even or odd?
Hint: they are!