If you are arguing that there is no such thing as irrationality, then as I said before there would be no such thing as rationality. All statements would hold just as much value as any other. Whether or not there is randomness is a completely different argument which is best started at 2 am.

But if there is no such thing as an irrational statement, then we could not have a meaningful argument about this or anything else. I could assume that if I proved ducks can float on water then I win this argument and that would be just as valid as anything you came up with. But since we are having a "rational" argument about rationality it obviously exists. To further prove my point I will make one more statement. If there was no such thing as irrational thoughts, then Monty Python would not be funny, nor would most other forms of comedy.

Later,
Eck