There must be a God who can miraculously endow the irrational mind of man with truth - so runs the new.
The soul is partly irrational, partly rational; and therefore there are two kinds of virtue.
It wasn't the money he objected to so much as the irrational logic.
The real numbers, which include irrational numbers, have now to be defined.
In this work, which is one of the most valuable contributions to the literature of algebra, Cardan shows that he was familiar with both real positive and negative roots of equations whether rational or irrational, but of imaginary roots he was quite ignorant, and he admits his inability to resolve the so-called lation of Arabic manuscripts.