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The notion of infinity is our greatest friend; it is also our greatest enemy of our peace of mind. - James Pierpont The Great Architect of the Universe now begins to appear as a pure mathematician. - James Jeans Logic is invincible because in order to combat logic it is necessary to use logic. - Pierre Boutroux A great truth is a truth whose opposite is also a great truth. - Christopher Morley No employment can be managed without arithmetic, no mechanical invention without geometry. - Benjamin Franklin The advancement and perfection of mathematics are intimately connected with the prosperity of the state. - Napoleon Bonaparte A Mathematician is someone who can take a cup of coffee and turn it into a theory. - Paul Erdos A mathematician who is not also a poet will never be a complete mathematician. - Karl Weierstrass It is easier to square a circle than to get round a mathematician. - Augustus De Morgan Numbers rule the Universe. – Pythagoras Mathematics is the Queen of Science, and Arithmetic the Queen of Mathematics. - C. F. Gauss Let no man ignorant of geometry enter - Sign over Plato's Academy in Athens There is no royal road to geometry.- Menaechmus to Alexander the Great To create a good philosophy you should renounce metaphysics but be a good mathematician. Bertrand Russell Mathematics is the only good metaphysics. - Lord Kelvin The Infinite! No other question has ever moved so profoundly the spirit of man. - David Hilbert "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 "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 “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 "A tragedy of mathematics is a beautiful conjecture ruined by an ugly fact.” "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