Would Dean ever make such **irrational** and illogical decisions if faced with a test of his love?

It wasn't the money he objected to so much as the **irrational** logic.

The universe is merely blind Will, not thought; this Will is **irrational**, purposeless and therefore unhappy.

Bird), but then included, with many others, according to the **irrational**, vague and rudimentary notions of classification of the time, in what was termed the family " Muscicapinae."

The **irrational** discords of Strauss are also real phenomena in musical aesthetics.

The real numbers, which include **irrational** numbers, have now to be defined.

Under the general heading "Fundamental Notions" occur the subheadings "Foundations of Arithmetic," with the topics rational, **irrational** and transcendental numbers, and aggregates; "Universal Algebra," with the topics complex numbers, quaternions, ausdehnungslehre, vector analysis, matrices, and algebra of logic; and "Theory of Groups," with the topics finite and continuous groups.

Graphic methods also enter into the consideration of **irrational** numbers (ï¿½ 65).

1892), are more suitable for revision purposes; the second of these deals rather fully with **irrational** numbers.

P. Manning, **Irrational** Numbers (1906); J.

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.

The number of questions which Calvin failed to ask or eluded by absolutely **irrational** expedients frees him from any taint of modern rationalism.

8), after recognizing the necessity of external goods to happiness, it denies that fortune is due to divine grace, and simply defines it as **irrational** nature (&Xoyos 060-Ls).

If nature can instruct **irrational** animals, can it not much more men?"

We are forced to fall back on fatalism as an explanation of **irrational** events (that is to say, events the reasonableness of which we do not understand).