Originally Posted by

**SlipEternal** You do not seem to understand that equality is transitive. If a=b and b=c then a=c.

You have 4 = (4,4). Now, on the RHS, we can replace 4 with (4,4), so (4,4) becomes ((4,4),4) or we can write (4,(4,4)), or we can write ((4,4),(4,4)).

I repeat, if you are not able to understand the basic rules of mathematics, then we are not going to be able to have a meaningful dialog. You seem to be picking and choosing rules to follow if you like them and ignoring them if they do not match what you "thought" it was supposed to be.