Charles Gustave Jacob Jacobi citations

Charles Gustave Jacob Jacobi: 4 citations 0 J'aime

Charles Gustave Jacob Jacobi: Citations en anglais

“Any progress in the theory of partial differential equations must also bring about a progress in Mechanics.”

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Carl Gustav Jacob Jacobi

Vorlesungen über Dynamik http://archive.org/details/cgjjacobisvorle00lottgoog [Lectures on Dynamics] (1842/3; publ. 1884).

“Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori, and it will be your task to find out the false deduction in each case.”

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Carl Gustav Jacob Jacobi

Vorlesungen über analytische Mechanik [Lectures on Analytical Mechanics] (1847/48; edited by Helmut Pulte in 1996).

“It is true that M. Fourier had the opinion that the principal end of mathematics was the public utility and the explanation of natural phenomena; but such a philosopher as he is should have known that the unique end of science is the honor of the human mind, and that from this point of view a question of number is as important as a question of the system of the world.”

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Carl Gustav Jacob Jacobi

Letter to Legendre (July 2, 1830) in response to Fourier's report to the Paris Academy Science that mathematics should be applied to the natural sciences, as quoted in Science (March 10, 1911) Vol. 33 https://books.google.com/books?id=4LU7AQAAMAAJ&pg=PA359, p.359, with additional citations and dates from H. Pieper, "Carl Gustav Jacob Jacobi," Mathematics in Berlin (2012) p.46

“History knew a midnight, which we may estimate at about the year 1000 A. D., when the human race lost the arts and sciences even to the memory. The last twilight of paganism was gone, and yet the new day had not begun. Whatever was left of culture in the world was found only in the Saracens, and a Pope eager to learn studied in disguise in their unversities, and so became the wonder of the West. At last Christendom, tired of praying to the dead bones of the martyrs, flocked to the tomb of the Saviour Himself, only to find for a second time that the grave was empty and that Christ was risen from the dead. Then mankind too rose from the dead. It returned to the activities and the business of life; there was a feverish revival in the arts and in the crafts. The cities flourished, a new citizenry was founded. Cimabue rediscovered the extinct art of painting; Dante, that of poetry. Then it was, also, that great courageous spirits like Abelard and Saint Thomas Aquinas dared to introduce into Catholicism the concepts of Aristotelian logic, and thus founded scholastic philosophy. But when the Church took the sciences under her wing, she demanded that the forms in which they moved be subjected to the same unconditioned faith in authority as were her own laws. And so it happened that scholasticism, far from freeing the human spirit, enchained it for many centuries to come, until the very possibility of free scientific research came to be doubted. At last, however, here too daylight broke, and mankind, reassured, determined to take advantage of its gifts and to create a knowledge of nature based on independent thought. The dawn of the day in history is know as the Renaissance or the Revival of Learning.”

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Carl Gustav Jacob Jacobi

"Über Descartes Leben und seine Methode die Vernunft Richtig zu Leiten und die Wahrheit in den Wissenschaften zu Suchen," "About Descartes' Life and Method of Reason.." (Jan 3, 1846) C. G. J. Jacobi's Gesammelte werke Vol. 7 https://books.google.com/books?id=_09tAAAAMAAJ&pg=PA309 p.309, as quoted by Tobias Dantzig, Number: The Language of Science (1930).