Calculating Quote by Archimedes

[The infinitely small] neither have nor can have theory; it is a dangerous instrument in the hands of beginners [ ... ] anticipating, for…

— Francois-Joseph Servois

Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.

— Antony Garrett Lisi

The work of mathematicians on 'pure' problems has often yielded ideas that have waited to be rediscovered by physicists. The work of Euclid, Apollonius…

— Dominic Cummings

Every new body of discovery is mathematical in form, because there is no other guidance we can have.

— Charles Darwin

Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be…

— Henri Poincare

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional…

— George Polya

It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus…

— Thomas Reid

It has been a fortunate fact in the modern history of physical science that the scientist constructing a new theoretical system has nearly always…

— R. B. Braithwaite

“Mathematicians have, according to Wright, been "unreasonably successful" in finding applications to apparently useless theorems, and often years after the theorems were first discovered.”

— Alex Bellos

“Using freshman level calculus you can show that the one and only shape that has the smallest surface area for an enclosed volume is…

— Neil deGrasse Tyson

I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn…

— William Thurston