"The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as ‘All bachelors are unmarried’, but they also share the complete lack of empirical content which is associated with that certainty."
— Carl G. Hempel, philosopher (1905-1997)
"When it comes to atoms, language can be used only as in poetry. The poet, too, is not nearly so concerned with describing facts as with creating images. "
— Neils Bohr, physicist (1815-1962)
"Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two time two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas, the identity fades out of sight. "
— Johann von Goethe, poet/scientist (1749-1832)
"No amount of experimentation can ever prove me right; a single experiment can prove me wrong. "
— Albert Einstein, physicist (1879-1955)
"What we experience of nature is in models … "
— Buckminster Fuller, architect (1895-1983)
"We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry."
— Maria Mitchell, astronomer (1818-1889)