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 Proclus Diadochus 

Profession: mathematician.
This therefore is Mathematics:
    She reminds you of the invisible forms of the soul;
    She gives life to her own discoveries;
    She awakens the mind and purifies the intellect;
    She brings light to our intrinsic ideas;
    She abolishes oblivion and ignorance which are ours by birth.



Wherever there is number, there is beauty.





 Marcel Proust 

Profession: writer.
The real voyage of discovery consists not in seeking new landscapes, but in having new eyes.





 Pythagoras 

Profession: mathematician.
Geometry is knowledge of the eternally existent.


Number is the within of all things.


There is geometry in the humming of the strings.





 Lord Raleigh 

Examples ... show how difficult it often is for an experimenter to interpret his results without the aid of mathematics.





 Srinivasa Ramanujan 

Profession: mathematician.
An equation means nothing to me unless it expresses a thought of God.





 Charles Rickart 

Profession: mathematician.
Never say of a branch of mathematics, “There’s something I don’t need to know.” It always comes back to haunt you.
(Source: quoted by Jon Barwise)





 Abraham Robinson 

Profession: mathematician.
I’ve made it a policy to move every five years, either physically or in my research.
(Source: Quoted by Jon Barwise)





 Rudy Rucker 

Profession: mathematician, author.
The study of infinity is much more than a dry academic game. The intellectual pursuit of the absolute infinity is, as Georg Cantor realized, a form of the soul’s quest for God. Whether or not the goal is ever reached, an awareness of the process brings enlightenment.





 Bertrand Russell 

Profession: mathematician, philosopher.
Although this may seem a paradox, all exact science is dominated by the idea of approximation.


It can be shown that a mathematical web of some kind can be woven about any universe containing several objects. The fact that our universe lends itself to mathematical treatment is not a fact of any great philosophical significance.


Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of paintings or music, yet sublimely pure and capable of a stern perfection such as only the greatest art can show.


Mathematics takes us still further from what is human into the region of absolute necessity, to which not only the actual world, but every possible world, must conform.


Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.


The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.


To create a good philosophy you should renounce metaphysics but be a good mathematician.


What is best in mathematics deserves not merely to be learned as a task but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.


Zeno was concerned with three problems . . . These are the problem of the infinitesimal, the infinite, and continuity ... From his to our own day, the finest intellects of each generation in turn attacked these problems, but achieved broadly speaking nothing ... Weierstrass, Dedekind, and Cantor, ... have completely solved them. Their ... solutions are so clear as to leave no longer the slightest doubt or difficulty. This achievement is probably the greatest of which our age can boast.
   

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