Questions of personal priority, however interesting they may be to the persons concerned, sink into insignificance in the prospect of any gain of deeper insight into the secrets of nature.
It is conceivable that animal life might have the attribute of using the heat of surrounding matter, at its natural temperature, as a source of energy for mechanical effect . . . .The influence of animal or vegetable life on matter is infinitely beyond the range of any scientific enquiry hitherto entered on. Its power of directing the motions of moving particles, in the demonstrated daily miracle of our human free-will, and in the growth of generation after generation of plants from a single seed, are infinitely different from any possible result of the fortuitous concurrence of atoms.
Mathematics is the only true metaphysics.
Science is bound, by the everlasting vow of honour, to face fearlessly every problem which can be fairly presented to it.
[Of the ether] it is no greater mystery at all events than the shoemakers' wax.
There cannot be a greater mistake than that of looking superciliously upon practical applications of science. The life and soul of science is its practical application.
Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
The vortex theory [of the atom] is only a dream. Itself unproven, it can prove nothing, and any speculations founded upon it are mere dreams about dreams.
[Referring to Fourier's mathematical theory of the conduction of heat] ... Fourier's great mathematical poem.
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