No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.
I did what I could to inflate the rumor I was on my way to stardom. What I was on my way to, by any mathematical standards known to man, was oblivion, by way of obscurity.
Mark all mathematical heads which be wholly and only bent on these sciences, how solitary they be themselves, how unfit to live with others, how unapt to serve the world.
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures.
And for mathematical science, he that doubts their certainty hath need of a dose of hellebore.
Eccentric doesn't bother me. 'Eccentric' being a poetic interpretation of a mathematical term meaning something that doesn't follow the lines - that's okay.
Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex.
Mathematical discoveries, small or great are never born of spontaneous generation.
As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.
Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.
Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.
There has to be a mathematical explanation for how bad that tie is.
I actually wanted to be an astronaut, but I don't have a mathematical brain.
Game theory is a branch of, originally, applied mathematics, used mostly in economics and political science, a little bit in biology, that gives us a mathematical taxonomy of social life, and it predicts what people are likely to do and believe others will do in cases where everyone's actions affect everyone else.
I know this world is ruled by infinite intelligence. Everything that surrounds us- everything that exists - proves that there are infinite laws behind it. There can be no denying this fact. It is mathematical in its precision.
I picked economics at the end of my undergraduate time because it seemed to be a really nice combination of theory, including mathematical theory on one hand, and things that are quite practical that you can touch and see and feel. So I picked it, and I consciously thought of it as an experiment to see if I liked it. And it worked.
I never, ever drink while writing. Never have from the start, and I'm happy that I never have to. A lot of my stuff is plot-driven and mathematical, and I think you need a clean and sober mind to pin down the logistics of that.
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
I've always had a more spatial mind, mathematical, than literal.
We will never fully explain the world by appealing to something outside it that must simply be accepted on faith, be it an unexplained God or an unexplained set of mathematical laws.
As long as there is a mathematical chance, we have to keep on going.
One of the most important tools in critical thinking about numbers is to grant yourself permission to generate wrong answers to mathematical problems you encounter. Deliberately wrong answers!
We've gone from the image of India as land of fakirs lying on beds of nails, and snake charmers with the Indian rope trick, to the image of India as a land of mathematical geniuses, computer wizards, software gurus.
Bitcoin may herald the dawning of a new age in currency. It holds superior traits as a form of 'good money.' As a tangible form of asset (its core tangibility being its mathematical basis), it could become an incredibly important building block for the 21st century's global economy.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
The building blocks of mathematical thinking are requisite for more advanced conceptualization. If a student is not ready to move on, then the teacher must take time to assist that learner.
The big mathematical challenge for flying robots is making them move in six dimensions: x, y, z, pitch, yaw and roll. We create 3-D obstacle courses in the lab - windows, doors, hula-hoops taped to posts - and ask the robots to fly through. It looks like a Harry Potter Quidditch match.
In terms of merit, sports has mathematical statistics. That's how you know who the best player is.
One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden.
I have my hopes, & very distinct ones, too, of one day getting cerebral phenomena such that I can put them into mathematical equations: in short, a law or laws for the mutual actions of the molecules of the brain (equivalent to the law of gravitation for the planetary & sideral world).
I don't believe you can reduce the world to a mathematical formula. I start with the world, assume it's complicated, and ask where can I get help from a whole range of disciplines.
I was in charge of the Bureau of Labor Statistics. So I had some of the most brilliant mathematical statistical minds in the country, who would put together the modern technology, if you like, of understanding the economy and tracking it and trying to influence it.
Ultimately, my Ph.D. is in mathematical physics, focusing on quantum field theory and curved space-time, and I worked with Stephen Hawking.
