Ideality is preëminently the foundation of Mathematics.
--
As quoted by Arnold B. Chace, in Benjamin Peirce, 1809-1880 : Biographical Sketch and Bibliography (1925) by R. C. ArchibaldBenjamin Peirce
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Among all the studies of natural causes and reasons Light chiefly delights the beholder; and among the great features of Mathematics the certainty of its demonstrations is what preeminently (tends to) elevate the mind of the investigator. Perspective, therefore, must be preferred to all the discourses and systems of human learning. In this branch [of science] the beam of light is explained on those methods of demonstration which form the glory not so much of Mathematics as of Physics and are graced with the flowers of both.
Leonardo da Vinci
The organic unity of mathematics is inherent in the nature of this science, for mathematics is the foundation of all exact knowledge of natural phenomena. That it may completely fulfil this high mission, may the new century bring it gifted masters and many zealous and enthusiastic disciples!
David Hilbert
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Bertrand Russell
We established [The Gloria Estefan Foundation] in 1993, because I was getting so many pitches from charities that I thought the best way to maximize our charity dollars was to establish a foundation, where you can do so many things. [The royalties from] four of my songs go directly to my foundation, and I don't have to bother people for money. I have been funding it myself all these years, from diffent concerts that I do that pay right to my foundation. It's what I love to do. It's something that makes me very happy. . . [The foundation has helped] from small things to large things. Every time there has been a natural disaster, we, thought the American Red Cross, have helped. Not just here , but in Nicaragua and Honduras. Obviously, Miami is very close to my heart.
Gloria Estefan
A possible explanation of the physicist's use of mathematics to formulate his laws of nature is that he is a somewhat irresponsible person. As a result, when he finds a connection between two quantities which resembles a connection well-known from mathematics, he will jump at the conclusion that the connection is that discussed in mathematics simply because he does not know of any other similar connection.
E. P. Wigner
Peirce, Benjamin
Peirce, Charles Sanders
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