Eternal Quote by Cassius Jackson Keyser

Mathematics is purely hypothetical: it produces nothing but conditional propositions.

— Charles Sanders Peirce

“Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such…

— Bertrand Russell

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then suchand such another…

— Bertrand Russell

Mathematics is, I believe, the chief source of the belief in eternal and exact truth, as well as a sensible intelligible world.

— Bertrand Russell

“Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt…

— Charles Proteus Steinmetz

The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also…

— Carl Gustav Hempel

When the mathematician says that such and such a proposition is true of one thing, it may be interesting, and it is surely safe.…

— Edward Kasner

Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need,…

— Ludwig Wittgenstein

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

— Carl Gustav Hempel

Mathematical Reasoning is not only exact; it has its own criteria of reality.

— Paul Feyerabend

. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even…

— Anonymous

“That’s right, but it’s not a mathematical proposition. It’s a sociological observation and there is always the possibility of exceptions to such observations." -…

— Isaac Asimov