Let us, however, acknowledge that among Mussulman philosophers none has better interpreted the doctrine of Aristotle than the latter. What others have handed down as his teaching is full of error, confusion, and obscurity adapted to disconcert the reader. The unintelligible can neither be accepted nor rejected. The philosophy of Aristotle, all serious knowledge of which we owe to the translation of these two learned men, may be divided into three portions: the first contains matter justly chargeable with impiety, the second is tainted with heresy, and the third we are obliged to reject absolutely. We proceed to details: _Divisions of the Philosophic Sciences_ These sciences, in relation to the aim we have set before us, may be divided into six sections: (1) Mathematics; (2) Logic; (3) Physics; (4) Metaphysics; (5) Politics; (6) Moral Philosophy. (1) _Mathematics._ Mathematics comprises the knowledge of calculation, geometry, and cosmography: it has no connection with the religious sciences, and proves nothing for or against religion; it rests on a foundation of proofs which, once known and understood, can not be refuted. Mathematics tend, however, to produce two bad results. The first is this: Whoever studies this science admires the subtlety and clearness of its proofs. His confidence in philosophy increases, and he thinks that all its departments are capable of the same clearness and solidity of proof as mathematics. But when he hears people speak of the unbelief and impiety of mathematicians, of their professed disregard for the Divine Law, which is notorious, it is true that, out of regard for authority, he echoes these accusations, but he says to himself at the same time that, if there was truth in religion, it would not have escaped those who have displayed so much keenness of intellect in the study of mathematics.