As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was “out there” all along I just couldn’t see it. And now I can! This is really what keeps me in the math game– the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods.
I tell them that if they will occupy themselves with the study of mathematics they will find in it the best remedy against the lusts of the flesh.
Too large a proportion of recent “mathematical” economics are mere concoctions, as imprecise as the initial assumptions they rest on, which allow the author to lose sight of the complexities and interdependencies of the real world in a maze of pretentious and unhelpful symbols.
In every department of physical science there is only so much science, properly so-called, as there is mathematics.
With mathematics we stand precisely at that intersection of bondage and freedom that is the essence of the human itself.
Math is my Passion. Engineering is my Profession.
Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.
The algebraic sum of all the transformations occurring in a cyclical process can only be positive, or, as an extreme case, equal to nothing.
[Statement of the second law of thermodynamics, 1862]
I lose faith in mathematics, logical and rigid. What with those that even zero doesn’t accept?