"We owe a lot to the Indians, who taught us how to count, without which no worthwhile scientific discovery could have been made."
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It is evidently equally foolish to accept probable reasoning from a mathematician and to demand from a rhetorician demonstrative proofs.
"Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena."
"As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality."
"Do not worry about your difficulties in Mathematics. I can assure you mine are still greater."
"Politics is for the present, but an equation is for eternity."
"A mathematical equation stands forever."
"Pure mathematics is, in its way, the poetry of logical ideas."
Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which... ...
The continuum is that which is divisible into indivisibles that are infinitely divisible.
In American math classes, we teach a lot of concepts poorly over many years. In the Asian systems they teach you very few concepts very well over a few years.
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful.