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

— Carl Gustav Jacob Jacobi

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More quotes by Carl Gustav Jacob Jacobi

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.

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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Quote text and notes from Wikiquote: Carl Gustav Jacob Jacobi (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.