„I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia.“

—  John Nash

Statement of 1996, as quoted in Dr. Riemann's Zeros (2003) by Karl Sabbagh, p. 88
1990s

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John Nash8
matematico ed economista statunitense 1928 - 2015

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„For the great majority of mathematicians, mathematics is“

—  George Frederick James Temple British mathematician 1901 - 1992

100 Years of Mathematics: a Personal Viewpoint (1981)
Contesto: For the great majority of mathematicians, mathematics is... a whole world of invention and discovery—an art. The construction of a new theorem, the intuition of some new principle, or the creation of a new branch of mathematics is the triumph of the creative imagination of the mathematician, which can be compared to that of a poet, the painter and the sculptor.

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„I would not so dishonour God as to lend my voice to perpetuate all the mad and foolish things which men have dared to say of Him.“

—  James Anthony Froude, libro The Nemesis of Faith

Letter II
The Nemesis of Faith (1849)
Contesto: I would not so dishonour God as to lend my voice to perpetuate all the mad and foolish things which men have dared to say of Him. I believe that we may find in the Bible the highest and purest religion..... most of all in the history of Him in whose name we all are called. His religion — not the Christian religion, but the religion of Christ — the poor man's gospel; the message of forgiveness, of reconciliation, of love; and, oh, how gladly would I spend my life, in season and out of season, in preaching this! But I must have no hell terrors, none of these fear doctrines; they were not in the early creeds, God knows whether they were ever in the early gospels, or ever passed His lips. He went down to hell, but it was to break the chains, not to bind them.

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„Mathematics is written for mathematicians“

—  Nicolaus Copernicus Renaissance mathematician, Polish astronomer, physician 1473 - 1543

Translation as quoted in The Gradual Acceptance of the Copernican Theory of the Universe (1917) by Dorothy Stimson, p. 115
Contesto: If perchance there should be foolish speakers who, together with those ignorant of all mathematics, will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash. For it is not unknown that Lactantius, the writer celebrated in other ways but very little in mathematics, spoke somewhat childishly of the shape of the earth when he derided those who declared the earth had the shape of a ball. So it ought not to surprise students if such should laugh at us also. Mathematics is written for mathematicians to whom these our labors, if I am not mistaken, will appear to contribute something even to the ecclesiastical state the headship of which your Holiness now occupies. (Author's preface to de revolutionibus) http://la.wikisource.org/wiki/Pagina:Nicolai_Copernici_torinensis_De_revolutionibus_orbium_coelestium.djvu/8

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„All is madness. And there is no one who will dare to rise and say that all is not madness, and that the future does not so appear — as fatal and unchangeable as a memory.“

—  Henri Barbusse French novelist 1873 - 1935

Light (1919), Ch. XVI - De Profundis Clamavi
Contesto: All is madness. And there is no one who will dare to rise and say that all is not madness, and that the future does not so appear — as fatal and unchangeable as a memory.
But how many men will there be who will dare, in face of the universal deluge which will be at the end as it was in the beginning, to get up and cry "No!" who will pronounce the terrible and irrefutable issue: —
"No! The interests of the people and the interests of all their present overlords are not the same.

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„Mathematics is written for mathematicians, to whom these my labours“

—  Nicolaus Copernicus, libro De revolutionibus orbium coelestium

Preface Letter to Pope Paul III as quoted by Edwin Arthur Burtt in The Metaphysical Foundations of Modern Physical Science (1925)
De revolutionibus orbium coelestium (1543)
Contesto: Nor do I doubt that skilled and scholarly mathematicians will agree with me if, what philosophy requires from the beginning, they will examine and judge, not casually but deeply, what I have gathered together in this book to prove these things.... Mathematics is written for mathematicians, to whom these my labours, if I am not mistaken, will appear to contribute something.... What... I may have achieved in this, I leave to the decision of your Holiness especially, and to all other learned mathematicians.... If perchance there should be foolish speakers who, together with those ignorant of all mathematics, will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash.

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„One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.“

—  Paul Dirac theoretical physicist 1902 - 1984

The Evolution of the Physicist's Picture of Nature (1963)
Contesto: It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.

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„To say that a great genius is half-mad, while recognizing his artistic prowess, is worth as much as saying that he was rheumatic, or that he suffered from diabetes. Madness, in fact, is a medical expression to which a balanced critic should pay no more heed than he would to the accusation of heresy brought by the theologian, or to the accusation of immorality brought by the public prosecutor.“

—  James Joyce Irish novelist and poet 1882 - 1941

"Realism and Idealism in English Literature (Daniel Defoe - William Blake)," lecture, Università Popolare, Trieste (February 27-28, 1912), printed in James Joyce: Occasional, Critical and Political Writing (2002) edited by Kevin Barry [Oxford University Press, <small> ISBN 0-192-83353-7</small>], p. 179

„Calculus is the mathematics of change. …Change is characteristic of the world.“

—  Richard Hamming American mathematician and information theorist 1915 - 1998

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

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