Exception Quote by Luigi Luca Cavalli-Sforza

Many persons entertain a prejudice against mathematical language, arising out of a confusion between the ideas of a mathematical science and an exact science.…

— William Stanley Jevons

It is perplexing to see the flexibility of the so-called 'exact sciences' which by cast-iron laws of logic and by the infallible help of…

— Vasco Ronchi

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

— Charles Sanders Peirce

All mathematics is tautology.

— Ludwig Wittgenstein

I assert that, in any particular natural science, one encounters genuine scientific substance only to the extent that mathematics is present.

— Immanuel Kant

Philip Kitcher thinks that mathematics is surprisingly like empirical science. Few mathematicians would agree; philosophers too, from Socrates on, have held the opposite opinion.

— Ian Hacking

Except in pure mathematics, nothing is known for certain (although much is certainly false).

— Carl Sagan

Mathematicians are inexorably drawn to nature, not just describing what is to be found there, but in creating echoes of natural laws.

— Roger Lewin

The mathematicians are well acquainted with the difference between pure science, which has only to do with ideas, and the application of its laws…

— Samuel Johnson

Real science exists, then, only from the moment when a phenomenon is accurately defined as to its nature and rigorously determined in relation to…

— Claude Bernard

The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter.

— Carl Gustav Hempel