Aristotle Quotes - page 6
If we look at the parpens piled up on the building site or at the block of bronze, nothing about them manifests that they are suited to being a house or a statue. ... Aristotle speaks of the materials considered as such in terms of "the buildable" (I, 201a 16, b Bf), coining an adjective whose suffix expresses capacity (what he calls dunamis). This capacity, as we have seen, cannot be grasped after the manner of that with which perception provides us (color, hardness, etc.); it requires a gaze capable of probing more deeply, of proceeding from the real to the possible-as when Michelangelo "sees" a David in the formless block abandoned by other sculptors.
Rémi Brague
Aristotle ...who summarized the theories of earlier thinkers, developed the view that all substances were made of a primary matter... On this, different forms could be impressed... so the idea of the transmutation of the elements arose. Aristotle's elements are really fundamental properties of matter.
J. R. Partington
Aristotle based his opposition to common ownership not only on logical but also, and principally, on utilitarian grounds. It is impractical because no one takes proper care of objects that are not his: ‘How immeasurable greater is the pleasure, when a man feels a thing to be his own, for surely the love of self is a feeling implanted by nature...
Richard Pipes
Aristotle argues, possessions enable men to rise to a higher ethical level by giving them the opportunity to be generous: ‘liberality consists in the use which is made of property'-an argument which would greatly appeal to Christian theologians of the Middle Ages. Aristotle's preferred regime was one founded on a middle class, with an equitable distribution of assets.
Richard Pipes
The people of Sybaris, a city in Calabria, are proverbial on account of their effeminancy; and it is said that they taught their horses to dance to the music of the pipe; for which reason, their enemies the Crotonians, at a time when they were at war with them, brought a great number of pipers into the field, and at the commencement of the battle, they played upon their pipes; the Sybarian horses, hearing the sound of the music, began to dance; and their riders, unable to manage them as they ought to have done, were thrown into confusion, and defeated with prodigious slaughter. This circumstance is mentioned by Aristotle; and, if not strictly true, proves, at least that the teaching of animals to exceed the bounds of action prescribed by nature was not unknown to the ancients.
Joseph Strutt
The Pythagoreans discovered the existence of incommensurable lines, or of irrationals. This was, doubtless, first discovered with reference to the diagonal of a square which is incommensurable with the side, being in the ratio to it of √2 to 1. The Pythagorean proof of this particular case survives in Aristotle and in a proposition interpolated in Euclid's Book X.; it is by a reductio ad absurdum proving that, if the diagonal is commensurable with the side, the same number must be both odd and even. This discovery of the incommensurable... showed that the theory of proportion invented by Pythagoras was not of universal application and therefore that propositions proved by means of it were not really established.... The fatal flaw thus revealed in the body of geometry was not removed till Eudoxus discovered the great theory of proportion (expounded in Euclid's Book V.), which is applicable to incommensurable as well as to commensurable magnitudes.
Thomas Little Heath
The actual writers of Elements of whom we hear were the following. Leon, a little younger than Eudoxus, was the author of a collection of propositions more numerous and more serviceable than those collected by Hippocrates. Theudius of Magnesia, a contemporary of Menæchmus and Dinostratus, "put together the elements admirably, making many partial or limited propositions more general". Theudius's book was no doubt the geometrical text-book of the Academy and that used by Aristotle.
Thomas Little Heath
Some consider... all wants of the body as shame, disgrace, and defect to which they are compelled to attend; this is chiefly the case with the sense of touch, which is a disgrace to us according to Aristotle, and which is the cause of our desire for eating, drinking, and sensuality. Intelligent persons must, as much as possible, reduce these wants, guard against them, abstain from speaking of them, discussing them, and attending to them in company of others. Man must have control over all these desires, reduce them as much as possible, and only retain of them as much as is indispensable. His aim must be the aim of man as man, viz., the formation of ideas, and nothing else. The best and sublimest among them is the idea which man forms of God, angels, and the rest of the creation according to his capacity. Such men are always with God, and of them it is said, "Ye are princes, and all of you are children of the Most High."
Maimonides
If A is A, a philosopher should equal a philosopher. But that's not the way the cosmos works. Similar things set themselves apart from one another. ...What's more, opposites are joined at the hip. Einstein says that most creative acts come from opposition. They come from pitting yourself against someone with another point of view. They come from the law of differentiation. And that was true of Aristotle and his law of identity, his law of noncontradiction, his construction for the base for A is A. Aristotle came up with his idea... to fling a finger in the face of another philosopher [Heraclitus]...
Howard Bloom
