By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible. Such a thing is either a quantity or a unique relation, which is only determined by careful examination. What one searches for in the algebraic art are the relations which lead from the known to the unknown, to discover which is the object of Algebra as stated above. The perfection of this art consists in knowledge of the scientific method by which one determines numerical and geometric unknowns.
Omar KhayyámRelated topics
above absolute algebra art assistance determination examination help known knowledge lead measurable method numbers numerical object perfection possible precious quantity relation say thing unique unknown relations thingsRelated quotes
I was able to compare the sexual equipment of the various men I made love with and there were amazing differences, in both length and massiveness. One handsome married man, who used to arrive with two Danishes from a very good bakery, had a penis about the size and shape of a lead pencil; he shall remain nameless. In my experience there was usually a relation to height, as Philip Rahv and Bill Mangold, both tall men, bore out. There may be dwarfish men with monstrously large organs, but I have never known one. It was not until later, after my second divorce, that I met an impotent man or a pervert (two of the latter)... None of my partners, the reader will be relieved to hear, had a venereal disease.
Mary McCarthy
Experience is, in fever and anguish, the putting into question (to the test) of that which a man knows of being. Should he in this fever have any apprehension whatsoever, he cannot say: "I have seen God, the absolute, or the depths of the universe”; he can only say "that which I have seen eludes understanding”-and God, the absolute, the depths of the universe are nothing if they are not categories of the understanding.
If I said decisively, "I have seen God,” that which I see would change. Instead of the inconceivable unknown-wildly free before me, leaving me wild and free before it-there would be a dead object and the thing of the theologian, to which the unknown would be subjugated.
Georges Bataille
Thus, all unknown quantities can be expressed in terms of a single quantity, whenever the problem can be constructed by means of circles and straight lines, or by conic sections, or even by some other curve of degree not greater than the third or fourth.
But I shall not stop to explain this in more detail, because I should deprive you of the pleasure of mastering it yourself, as well as of the advantage of training your mind by working over it, which is in my opinion the principal benefit to be derived from this science. Because, I find nothing here so difficult that it cannot be worked out by anyone at all familiar with ordinary geometry and with algebra, who will consider carefully all that is set forth in this treatise.
René Descartes
It is not possible, I think, to rise from the perusal of the arguments of Clark and Spinoza without a deep conviction of the futility of all endeavors to establish, entirely à priori, the existence of an Infinite Being, His attributes, and His relation to the universe. The fundamental principle of all such speculations, viz. that whatever we can clearly conceive, must exist, fails to accomplish its end, even when its truth is admitted. For how shall the finite comprehend the infinite? Yet must the possibility of such conception be granted, and in something more than the sense of a mere withdrawal of the limits of phænomal existence, before any solid ground can be established for the knowledge, à priori, of things infinite and eternal.
George Boole
Had Mr. Darwin written a work on the change of species, as determined by observation and experiment, without any other object but that of advancing natural science, he would have obtained a high place among philosophical naturalists. But after reading his work in which the name of the Creator is never distinctly mentioned, we can hardly believe that scientific truth was the only object the author had in view. Researches, conducted under the influence of other motives, are not likely to stand the test of a rigorous scrutiny; and some of Mr. Darwin's not unfriendly critics have produced ample evidence that the idol of speculation has been occasionally worshipped at the expense of truth.
David Brewster
