Bachelors Quote by Carl Gustav Hempel

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

— Carl Gustav Hempel

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

The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were…

— Cassius Jackson Keyser

“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

“The implication is that logical or mathematical proofs cuts no ice in adjudicating competing claims of fact.[101] Analytic propositions “are entirely devoid of factual…

— Stephen R.C. Hicks

“The certainty of mathematics depends on its complete abstract generality.”

— Alfred North Whitehead

It is the mark of an educated mind to expect that amount of exactness which the nature of the particular subject admits. It is…

— Aristotle

The most distinctive characteristic which differentiates mathematics from the various branches of empirical science, and which accounts for its fame as the queen of…

— Carl Gustav Hempel

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is…

— Bertrand Russell

“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

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

Among the minor, yet striking characteristics of mathematics, may be mentioned the fleshless and skeletal build of its propositions; the peculiar difficulty, complication, and…

— Charles Sanders Peirce