1.
To understand the Universe, you must understand the language in which it's written, the language of Mathematics.
Galileo Galilei
To decipher the Cosmos, one must comprehend the dialect in which it is composed, the tongue of Arithmetic.
2.
Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.
Archimedes
Mathematics unveils its mysteries only to those who approach it with ardent admiration, for its inherent loveliness.
3.
Mathematical reasoning may be regarded.
Alan Turing
Contemplating mathematics may be viewed.
4.
Either mathematics is too big for the human mind or the human mind is more than a machine.
Kurt Gödel
Either mathematics is beyond human comprehension or the human mind has capabilities that surpass machinery.
5.
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work-that is, correctly to describe phenomena from a reasonably wide area.
John von Neumann
6.
The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert.
John von Neumann
7.
It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.
Carl Friedrich Gauss
8.
Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
Benoit Mandelbrot
10.
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.
Jim Sanborn
11.
If only I had the Theorems! Then I should find the proofs easily enough.
Bernhard Riemann
12.
A line is length without breadth.
Euclid
13.
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. Hardy
14.
There is no smallest among the small and no largest among the large, but always something still smaller and something still larger.
Anaxagoras
16.
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
Edsger Dijkstra
17.
Logic and mathematics are nothing but specialised linguistic structures.
Jean Piaget
18.
I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus.
Albert Einstein
19.
The purpose of life is to conjecture and prove.
Paul Erdos
20.
It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.
Edward Frenkel
21.
One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
Paul Dirac
22.
The best way to learn is to do; the worst way to teach is to talk.
Paul Halmos
23.
You want to know how to rhyme, then learn how to add. It's mathematics.
Mos Def
24.
A chemist who does not know mathematics is seriously handicapped.
Irving Langmuir
25.
If I had inherited a fortune I should probably not have cast my lot with mathematics.
Joseph-Louis Lagrange
26.
A mathematician who is not also something of a poet will never be a complete mathematician.
Karl Weierstrass
27.
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.
Walter Kohn
28.
Being exposed to theory, stimulated by a basic love of concepts and mathematics, was a marvelous experience.
Rudolph A. Marcus
30.
The essence of mathematics lies precisely in its freedom.
Georg Cantor
31.
Mathematics rightly viewed possesses not only truth but supreme beauty.
Bertrand Russell
32.
The new art must be based upon science - in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.
Albrecht Durer
33.
A set is a Many that allows itself to be thought of as a One.
Georg Cantor
35.
The unreasonable efficiency of mathematics in science is a gift we neither understand nor deserve.
Eugene Wigner
36.
The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules.
Kurt Gödel
37.
Science advances one funeral at a time.
Max Planck
38.
Before creation, God did just pure mathematics. Then He thought it would be a pleasant change to do some applied.
John Edensor Littlewood
39.
It is insufficient to protect ourselves with laws; we need to protect ourselves with mathematics.
Bruce Schneier
41.
Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.
Shakuntala Devi
42.
I protest against the use of infinite magnitude ..., which is never permissible in mathematics.
Carl Friedrich Gauss
43.
But however measurable, there is much more life in music than mathematics or logic ever dreamed of.
Gabriel Marcel
44.
One geometry cannot be more true than another; it can only be more convenient.
Henri Poincare
46.
To be successful, you should concentrate on the world of companies, not arcane accounting mathematics.
Warren Buffett
47.
Every human activity, good or bad, except mathematics, must come to an end.
Paul Erdos
48.
Applied mathematics will always need pure mathematics just as anteaters will always need ants.
Paul Halmos
50.
There is no national science, just as there is no national multiplication table; what is national is no longer science.
Anton Chekhov