It seems we're using different definitions of words here. Maybe I should clarify a bit.
The definition of rationality I use (and I needed to think about this a bit) is a set of rules that must, by their nature, correlate with reality. Pragmatic considerations do not correlate with reality, no matter how pressing they may seem.
Rather than a rational obligation, it is a fact that if a person is irrational then they have no reason to believe that their beliefs correlate with the truth, as they do not. It is merely an assumption they have.
I've raised arguments for philosophical scepticism before, which have mostly been argued against in a Popper-esque manner of arguing that even if we don't know anything with certainty, we can have legitimate knowledge on probabilities.
The problem with this, however, is how you answer a sceptic about the notion of probability having a correlation with reality. Probability depends upon axioms of probability- how are said axioms to be justified? It can't be by definition, or it has no correlation to reality.