Revolutions never occur in mathematics.
Historia Mathematica. 1975.
Loci: Convergence
Mathematical Quotations
Our library of quotations is organized alphabetically by surname of the author.
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D'Alembert, Jean Le Rond (1717-1783)
Thus metaphysics and mathematics are, among all the sciences that belong to reason, those in which imagination has the greatest role. I beg pardon of those delicate spirits who are detractors of mathematics for saying this .... The imagination in a mathematician who creates makes no less difference than in a poet who invents .... Of all the great men of antiquity, Archimedes may be the one who most deserves to be placed beside Homer.
D'Alembert, Jean Le Rond (1717-1783)
Just go on ... and
faith will soon
return.
[To a
friend hesitant with
respect to
infinitesimals.]
da Vinci, Leonardo (1452-1519)
Inequality is the cause of all local movements.
da Vinci, Leonardo (1452-1519)
No human investigation can be called real science if it cannot be demonstrated mathematically.
da Vinci, Leonardo (1452 - 1519)
Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics.
da Vinci, Leonardo (1452-1519)
He who loves practice without theory is like the sailor who boards ship without a rudder and compass and never knows where he may cast.
da Vinci, Leonardo (1452-1519)
Whoever despises the high wisdom of mathematics nourishes himself on delusion and will never still the sophistic sciences whose only product is an eternal uproar.
Dantzig
Neither in the subjective nor in the objective world can we find a criterion for the reality of the number concept, because the first contains no such concept, and the second contains nothing that is free from the concept. How then can we arrive at a criterion? Not by evidence, for the dice of evidence are loaded. Not by logic, for logic has no existence independent of mathematics: it is only one phase of this multiplied necessity that we call mathematics.
Dantzig
The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. To be sure, his art originated in the necessity for clothing such creatures, but this was long ago; to this day a shape will occasionally appear which will fit into the garment as if the garment had been made for it. Then there is no end of surprise and delight.
Darwin, Charles
Mathematics seems to endow one with something like a new sense.
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