Mathematics Philosophy Quotes

I have tried, with little success, to get some of my friends to understand my amazement that the abstraction of integers for counting is both possible and useful. Is it not remarkable that 6 sheep plus 7 sheep makes 13 sheep; that 6 stones plus 7 stones make 13 stones? Is it not a miracle that the universe is so constructed that such a simple abstraction as a number is possible? To me this is one of the strongest examples of the unreasonable effectiveness of mathematics. Indeed, I find it both strange and unexplainable.

God exists since mathematics is consistent, and the Devil exists since we cannot prove it.

How is an error possible in mathematics?

A mathematical formula should never be "owned" by anybody! Mathematics belong to God.

Mathematicians do not study objects, but relations between objects.

The object of pure Mathematic (is) that of unfolding the laws of human intelligence.

One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.

Mathematicians are proud of the fact that, generally, they do their work with a piece of chalk and a blackboard. They value hand-done proofs above all else. A big question in mathematics today is whether or not computational proofs are legitimate. Some mathematicians won't accept computational proofs and insist that a real proof must be done by the human hand and mind, using equations.

To create a language all of a piece which would be a women's language, that I find quite insane. There does not exist a mathematics which is only a women's mathematics, or a feminine science.

God Bless Theoretical Mathematics And May It Never Be Of Use To Anyone

It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must bind divergent interests together.

Mathematics is the bold luxury of pure reason, one of the few that remain today.

Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them.