Mathematics rightly viewed possesses not only truth but supreme beauty.
Numbers constitute the only universal language.
Life is good for only two things, discovering mathematics and teaching mathematics.
Mighty is geometry; joined with art, resistless.
I feel like I'm playing some giant video game, or trying to solve a really complicated math equation. 'One girl is trying to avoid forty raiding parties of between fifteen to twenty people each, spread out across a radius of seven miles. If she has to make it 2.7 miles through the center, what is the probablitiy she will wake up tomorrow morning in a jail cell? Please feel free to round pi to 3.14'.
It should seem that it is easier to square the circle than to get round a mathematician.
Where there is matter, there is geometry.
Mathematics is as much an aspect of culture as it is a collection of algorithms.
The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.
One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers.
Mathematics seems to endow one with something like a new sense.
Mathematics is a body of knowledge, but it contains no truths.
Logic doesn't apply to the real world.
We are all concerned about the future of American education. But as I tell my students, you do not enter the future - you create the future. The future is created through hard work.
"Ganas is all you need."
Numbers are the highest degree of knowledge. It is knowledge itself.
Numerical precision is the very soul of science.
Although I am almost illiterate mathematically, I grasped very early in life that any one who can count to ten can count upward indefinitely if he is fool enough to do so.
I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.
All of us are slaves to the prejudices of our own dimension.
When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn't even ask.
In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide - a relief from daily life, an anodyne to the practical workaday world.
Looking at numbers as groups of rocks may seem unusual, but actually it's as old as math itself. The word "calculate" reflects that legacy - it comes from the Latin word calculus, meaning a pebble used for counting. To enjoy working with numbers you don't have to be Einstein (German for "one stone"), but it might help to have rocks in your head.
Algebra reverses the relative importance of the factors in ordinary language.
...a consistency proof for [any] system ... can be carried out only by means of modes of inference that are not formalized in the system ... itself.
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