Categories Quote by Felix Klein

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

— Morris Kline

Mathematicians care no more for logic than logicians for mathematics.

— Augustus De Morgan

The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear…

— Willard Van Orman Quine

The one [the logician] studies the science of drawing conclusions, the other [the mathematician] the science which draws necessary conclusions.

— Charles Sanders Peirce

“Mathematicians think in symbols, physicists in objects, philosophers in concepts, geometers in images, jurists in constructs, logicians in operators, writers in impressions, and idiots…

— Nassim Nicholas Taleb

A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the…

— Stefan Banach

Mathematicians, who are only mathematicians, have exact minds, provided all things are explained to them by means of definitions and axioms; otherwise they are…

— Blaise Pascal

I read one or two other books which gave me a background in mathematics other than logic.

— Stephen Cole Kleene

There is a logic of language and a logic of mathematics.

— Thomas Merton

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein

A mathematician is an individual who calls himself a 'physicist' and does 'physics' and physical experiments with abstract concepts.

— Bill Gaede

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

— Alfred North Whitehead