and examine what mathematics, as a subject, really is. The premise of mathematics is to derive absolute truth from a few assumptions (which no one would deny). As a subject to pick on, you have not chosen wisely. True mathematics never has, or never will tell a lie. It will never tell you that a certain model will definately be the best for the current economic climate. It is never incorrect, in fact it is so thorough as a subject that it even manages to make claims about what it can achieve, through Gdel's incompleteness theorems, which you seem to have completely misunderstood. What exactly is meant by "the set of real numbers was incompletable" anyway? Mathematically, the reals are a totally ordered, complete field so I'm sure that this is not what you meant. There is no way that anyone of any intelligence could ever refute Cantor's argument. It is correct, and that's the end of it- the real numbers are not a countably infinite set (maybe this is the terminogy that was meant?). And this is not blind faith- if you ever did an undergraduate or postgraduate course in mathematics, you'd realise that most of the time is spent proving theorems which, to you, are often already self-evident. All mathematical theorems are accompanied by proofs, and in studying mathematics, you must understand why these proofs are completely irrefutable- that is the key to understanding them. I also hate this constant victimisation of physicists who are studying the idea