Unlike mathematical theorems, scientific results can't be proved. They can only be tested again and again, until only a fool would not… — Seth Lloyd Copy Share Image
The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw… — Isaac Newton Copy Share Image
Mathematics is not yet capable of coping with the naïveté of the mathematician himself. — Abraham Kaplan Copy Share Image
The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols… — Tobias Dantzig Copy Share Image
It strikes me that mathematical writing is similar to using a language. To be understood you have to follow some grammatical rules.… — Jean-Pierre Serre Copy Share Image
We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are… — Irving Kaplansky Copy Share Image
Our federal income tax law defines the tax y to be paid in terms of the income x; it does so in… — Hermann Weyl Copy Share Image
[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary… — Cassius Jackson Keyser Copy Share Image
Even with the most stupid video games, kids learn more about learning than they ever did before, because they want to learn… — Seymour Papert Copy Share Image
The mind is complicated and you can't trace the roots of its processes, but there is something about mathematical and algorithmic patterns… — Aleksandar Hemon Copy Share Image
If there was some sort of mathematical equation for beauty, I don't know if I would be the algorithm. I've always been… — Lady Gaga Copy Share Image
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and… — Mary Somerville Copy Share Image
You kind of alluded to it in your introduction. I mean, for the last 300 or so years, the exact sciences have… — Stephen Wolfram Copy Share Image
Russell's books should be bound in two colours, those dealing with mathematical logic in red - and all students of philosophy should… — Ludwig Wittgenstein Copy Share Image
Mathematical discoveries, like springtime violets in the woods, have their season which no man can hasten or retard. — Janos Bolyai Copy Share Image
Logical investigations can obviously be a useful tool for philosophy. They must, however, be informed by a sensitivity to the philosophical significance… — Saul Kripke Copy Share Image
In modern times the belief that the ultimate explanation of all things was to be found in Newtonian mechanics was an adumbration… — Alfred North Whitehead Copy Share Image
Here is a quilted book about mathematical practice, each patch wonderfully prepared. Part invitation to number theory, part autobiography, part sociology of… — Peter Galison Copy Share Image
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and… — Alan Turing Copy Share Image
The next grand extensions of mathematical physics will, in all likelihood, be furnished by quaternions. — Peter Tait Copy Share Image
Einstein's theory of General Relativity has a mathematical structure very similar to Yang-Mills theory. — Chen-Ning Yang Copy Share Image
The principle is so perfectly general that no particular application of it is possible. — George Polya Copy Share Image
There is something in statistics that makes it very similar to astrology. — Gian-Carlo Rota Copy Share Image
The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them… — Martin Heidegger Copy Share Image