# Mathematics and Logic

- The most savage controversies are those about matters as to which there is no good evidence either way. Persecution is used in theology, not in arithmetic. ~Bertrand Russell
- Music is the pleasure the human mind experiences from counting without being aware that it is counting. ~Gottfried Leibniz
- Black holes result from God dividing the universe by zero. ~Author Unknown
- If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. ~John Louis von Neumann
- Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes. ~Eric T. Bell, The Development of Mathematics
- Pure mathematics is, in its way, the poetry of logical ideas. ~Albert Einstein
- The essence of mathematics is not to make simple things complicated, but to make complicated things simple. ~S. Gudder
- A mathematician is a device for turning coffee into theorems. ~Paul Erdos
- Still more astonishing is that world of rigorous fantasy we call mathematics. ~Gregory Bateson
- To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas. ~Ivars Peterson
- With my full philosophical rucksack I can only climb slowly up the mountain of mathematics. ~Ludwig Wittgenstein, Culture and Value
- The trouble with integers is that we have examined only the very small ones. Maybe all the exciting stuff happens at really big numbers, ones we can’t even begin to think about in any very definite way. Our brains have evolved to get us out of the rain, find where the berries are, and keep us from getting killed. Our brains did not evolve to help us grasp really large numbers or to look at things in a hundred thousand dimensions. ~Ronald L. Graham
- As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality. ~Albert Einstein, Sidelights on Relativity
- God does not care about our mathematical difficulties; He integrates empirically. ~Albert Einstein
- If there is a God, he’s a great mathematician. ~Paul Dirac
- Infinity is a floorless room without walls or ceiling. ~Author Unknown
- Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover. ~Bertrand Russell
- The laws of nature are but the mathematical thoughts of God. ~Euclid
- In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure. ~Hermann Hankel
- I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because like Spinoza’s God, it won’t love us in return. ~Bertrand Russell, 1912
- The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. ~John Kemeny
- As for everything else, so for a mathematical theory: beauty can be perceived but not explained. Arthur Cayley
- How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality? Max Wilhelm Dehn
- Number is the within of all things. Pythagoras
- Numbers are the highest degree of knowledge. It is knowledge itself. Plato
- Poets do not go mad, but chess players do. Mathematicians go mad, and cashiers, but creative artists very seldom. I am not, as will be seen, in any sense attacking logic: I only say that this danger does lie in logic, not in imagination. — G. K. Chesterton
- In many cases, mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug. Chess sometimes plays a similar role. In their unhappiness over the events of this world, some immerse themselves in a kind of self-sufficiency in mathematics. (Some have engaged in it for this reason alone.) ~ Stansilaw Ulam, Adventures of a Mathematician