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The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the 'hard' sciences so brilliantly successful.
Herbert Simon

We will never fully explain the world by appealing to something outside it that must simply be accepted on faith, be it an unexplained God or an unexplained set of mathematical laws.
Paul Davies

The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference to experience.
Muhammad Iqbal

It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth.
Jean Piaget

The computer can't tell you the emotional story. It can give you the exact mathematical design, but what's missing is the eyebrows.
Frank Zappa

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
George Boole

I regard it in fact as the great advantage of the mathematical technique that it allows us to describe, by means of algebraic equations, the general character of a pattern even where we are ignorant of the numerical values which will determine its particular manifestation.
Friedrich August von Hayek

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
Alan Turing

Much of what I make is geometric, and has a kind of almost mathematical logic to the form.
Anish Kapoor

Beyond basic mathematical aptitude, the difference between good programmers and great programmers is verbal ability.
Marissa Mayer

One of the things I've always liked about my husband is he's very good at lots of stuff. He was an English teacher when I met him. He wrote poetry and played the guitar. As time went on, he decided to go into economics, so he's very analytical and mathematical in addition to his artsy side.
Ally Condie

I remember from my school days Archimedes jumping into his bath and displacing water and coming up with his famous principle, and of course Isaac Newton being hit on the head with an apple. In other words, this realm of human knowledge - which is mathematical, essentially - can have a playful visual element to it.
James Marsh

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Arthur Cayley

It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the differential equation of Schroedinger and the matrix algebra of Heisenberg. The two apparently dissimilar approaches were proved to be mathematically equivalent.
Richard P. Feynman

The ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.
John Forbes Nash, Jr.

The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved.
Paul Dirac

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
G. H. Hardy

Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things.
Alexander Grothendieck

The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.
Marquis De Custine

All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
Roger Bacon

The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.
Edsger Dijkstra

Never had any mathematical conversations with anybody, because there was nobody else in my field.
Alonzo Church

By a combination of formal training and self study, the latter continuing systematically well into the 1940s, I was able to gain a broad base of knowledge in economics and political science, together with reasonable skills in advanced mathematics, symbolic logic, and mathematical statistics.
Herbert A. Simon

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