1 + 1 = 3, for large values of 1.
A mathematician is a device for turning coffee into theorems.
-- P. Erdos
A sine curve goes off to infinity, or at least the end of the blackboard.
-- Prof. Steiner
All syllogisms have three parts, therefore this is not a syllogism.
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
"Contrariwise," continued Tweedledee, "if it was so, it might be, and if it were so, it would be; but as it isn't, it ain't. That's logic!"
-- Lewis Carroll, "Through the Looking Glass"
Everything should be made as simple as possible, but not simpler.
-- Albert Einstein
-- Albert Einstein
God made the integers; all else is the work of Man.
-- Kronecker
I have a theory that it's impossible to prove anything, but I can't prove it.
I have hardly ever known a mathematician who was capable of reasoning.
-- Plato
Mathematics is the only science where one never knows what one is talking about nor whether what is said is true.
-- Russell
Mathematics, rightly viewed, possesses not only truth but supreme beauty -- a beauty cold and austere, like that of a sculpture, without appeal to any part of our weaker nature, without the gorgeous trapping of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
-- Bertrand Russell
Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
-- Jules Henri Poincaré
The aim of science is to seek the simplest explanations of complex facts. Seek simplicity and distrust it.
-- Alfred North Whitehead
There is no choice before us. Either we must Succeed in providing the rational coordination of impulses and guts, or for centuries civilization will sink into a mere welter of minor excitements. We must provide a Great Age or see the collapse of the upward striving of the human race.
-- Alfred North Whitehead
There is no royal road to geometry.
-- Euclid
What is wanted is not the will to believe, but the will to find out, which is the exact opposite.
-- Bertrand Russell, "Skeptical Essays", 1928
The principal aim of mathematical education is to develop certain faculties of the mind, and among these intuition is not the least precious. It is through it that the mathematical world remains in touch with the real world, and even if pure mathematics could do without it, we should still have to have recourse to it to fill up the gulf that separates the symbol from reality.
-- Jules Henri Poincaré
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
-- David Hilbert
If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
-- Galileo Galilei
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
-- David Hilbert
Three Logicians walk into a bar, and the barkeeper asks "Would you all like something to drink?"
The 1st Logician says "I don't know,"
and the 2nd Logician says "I don't know."
Then the 3rd Logician says "yes."
-- author unknown
