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Report Abuse. Not only are they infinite, but they are uncountably infinite. That means the set of irrationals between 0 and 1 is larger than the set of all integers. Look up Georg Cantor on the internet. He proved all kinds of things about infinity. Source(s): http://en.wikipedia.org/wiki/Georg_Canto...
Then our sets included integers. The universal set for that is all the integers. In fact, when doing Number Theory, this is almost always what the universal set is, as Number Theory is simply the study of integers. But in Calculus (also known as real analysis), the universal set is almost always the real numbers.