“Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.” -- Bertrand Russell
“Mathematics is made of 50 percent formulas, 50 percent proofs, and 50 percent imagination.”
“Mathematics is the art of giving the same name to different things.” -- J. H. Poincare
“Philosophy is a game with objectives and no rules. Mathematics is a game with rules and no objectives.”
"Mathematics is a game played according to certain simple rules with meaningless marks on paper." -- David Hilbert
"Mathematics consists in proving the most obvious thing in the least obvious way." -- George Polya
"In mathematics, you don't understand things. You just get used to them." -- Johann von Neumann
"A tragedy of mathematics is a beautiful conjecture ruined by an ugly fact.”
“Mathematics is like love; a simple idea, but it can get complicated.”
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
“Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.” -- Plato
"The essence of mathematics is not to make simple things complicated, but to make complicated things simple." -- S. Gudder
"There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else -- but persistent." -- Raoul Bott
"Obvious is the most dangerous word in mathematics." -- E.T. Bell
"Arithmetic is being able to count up to twenty without taking off your shoes." -- Mickey Mouse
"The greatest unsolved theorem in mathematics is why some people are better at it than others." -- Adrian Mathesis
"Mathematics is not a deductive science – that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork." -- Paul Halmos
“The different branches of Arithmetic are Ambition, Distraction, Uglification, and Derision.” – Lewis Caroll
"Mathematics is written for mathematicians." – Copernicus
"Mathematics should be fun." -- Peter J. Hilton
"Small minds discuss persons. Average minds discuss events. Great minds discuss ideas. Really great minds discuss mathematics."
"But in the new (math) approach, the important thing is to understand what you're doing, rather than to get the right answer." -- Tom Lehrer
"Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life." -- Y. Manin
Arithmetic is where numbers fly like pigeons in and out of your head. ~Carl Sandburg, "Arithmetic"
Arithmetic is numbers you squeeze from your head to your hand to your pencil to your paper till you get the answer. ~Carl Sandburg, "Arithmetic"
Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere. ~W.S. Anglin
Mathematics is the supreme judge; from its decisions there is no appeal. ~Tobias Dantzig
Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It's free. It can be played anywhere - Archimedes did it in a bathtub. ~Richard J. Trudeau, Dots and Lines
The essence of mathematics resides in its freedom.
Mathematics is a great motivator for all humans.. Because its career starts with zero and it never end (infinity).
The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.