Mathematics Quotes - page 34
MacUser: Which person do you most admire?
Jef Raskin: For what attribute? Once again you ask a question that linearises a complex matter. I can name many. Let's start with people named George: George Cantor for moving infinity out of philosophy into mathematics, George Washington for showing how a leader should relinquish power, and George Bernard Shaw for his humanity... Or we can do it by subject and admire Aristotle, Isaac Newton and Albert Einstein for their pulling from nature comprehensible laws; or Euclid, Gauss and Gödel for their contributions to mathematics; or people who have influenced me very directly, in which case I'd mention my very admirable parents and the teacher who taught me to be intellectually independent, L R Genise; or how about Claude Shannon without whose work on information theory I would have been lost.
Jef Raskin
Newton... (after having remarked that geometry only requires two of the mechanical actions which it postulates, namely, to describe a straight line and a circle) says: geometry is proud of being able to achieve so much while taking so little from extraneous sources. One might say of metaphysics, on the other hand: it stands astonished, that with so much offered it by pure mathematics it can effect so little.
Immanuel Kant
Concept art was meant to replace all of mathematics with an endeavor which involved a Rorschach-blot semantics; and which did not claim to be cognitive, at least not in the inherited sense. Mathematics had already been disconnected from claims of realism; and I was extending that disavowal to a disconnection from claims of a priori truth. Concept art's value consisted in beauty, a beauty which was non-sentimental. Later I would say that its value consisted in "the invention of new mental abilities."
Henry Flynt
About drafting all the scientific students into the war effort. Maybe the war is good, but, Tomar, I'm working on my own project. All at once, the thing I want most in the world is to be left alone to work on it. And I want you, and I want to have a picnic. I'm nearly at the solution, and to have to stop and work on bomb sightings and missile trajectories...Tomar, there's a beauty in abstract mathematics that shouldn't be dulled with that sort of thing.
Samuel R. Delany
When you seek some unspecified and hidden property, you don't want extraneous complexity to interfere. In order to achieve homogeneity, I decided to make the motion end where it had started. The resulting motion biting its own tail created a distinctive new shape I call Brownian cluster. ... Today, after the fact, the boundary of Brownian motion might be billed as a "natural" concept. But yesterday this concept had not occurred to anyone. And even if it had been reached by pure thought, how could anyone have proceeded to the dimension 4/3? To bring this topic to life it was necessary for the Antaeus of Mathematics to be compelled to touch his Mother Earth, if only for one fleeting moment.
Benoît Mandelbrot
Any author who uses mathematics should always express in ordinary language the meaning of the assumptions he admits, as well as the significance of the results obtained. The more abstract his theory, the more imperative this obligation.
In fact, mathematics are and can only be a tool to explore reality. In this exploration, mathematics do not constitute an end in itself, they are and can only be a means.
Maurice Allais
... mathematicians are much more concerned for example with the structure behind something or with the whole edifice. Mathematicians are not really puzzlers. Those who really solve mathematical puzzles are the physicists. If you like to solve mathematical puzzles, you should not study mathematics but physics!
Carlo Beenakker
Bernays's publications extend over the most diverse fields of mathematics ... and are all marked by thoroughness and reliability ... He is distinguished by a deep-seated love for science as well as a trustworthy character and nobility of thought, and is highly valued by everyone. In all matters concerning fundamental questions in mathematics, he is the most knowledgeable expert and, especially for me, the most valuable and productive colleague.
Paul Bernays
