Quotes About Mathematics

In this era of globalisation, I believe that the only way to push the Philippines forward is to focus our energy on improving English, mathematics, science, and technology.

Negative gender stereotypes related to girls' education in science, technology, engineering, and mathematics begin as early as primary school and have the devastating effect of making them doubt their own potential.

Not a lot of people know this, but I'm very good at mathematics. When I was an angry teenager, I used to sit in my room and do quadratic equations to calm myself down.

My father's family hails from Banaras. My grandfather taught mathematics at Banaras Hindu University. Banaras is also dedicated to Lord Shiva, home to one of the great jyotirlings, the Kashi Vishwanath temple.

A Foundational system serves not so much to prop up the house of mathematics as to clarify the principles and methods by which the house was built in the first place.

the average number of legs in any human population is slightly less than two. So most people actually do have "more legs than average.

What is the sound of a soul made of numbers?

Mathematics has given economics rigor, but alas, also mortis.

Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bathe, and not make messes in the house.

Many of today's foremost Russian mobsters have Ph.D.'s in mathematics, engineering, or physics, helping them to acquire an expertise in advanced encryption and computer technology.

I have described to you why God must exist—or, at least, must have at one time existed—in mathematical terms that come as close to certainty as anything in science possibly could. And still you deny his existence." The pain was growing worse. It would subside, of course. "Yes," I said. "I deny God's existence.

terminal into compute mode, and made a quick calculation. "Seventy-seven microradians per second comes out to

obelus, the mathematical sign for division,

the relation of mathematics to the world of temporal change and of phenomenal particularity is direct: less by induction than by what Pierce called abduction – an imaginative jumping off from an open-ended series of particulars.

Every one of our conscious brains is woven from subtle physical ingredients that somehow enable us to take advantage of the profound organization of our mathematically underpinned universe-so that we, in turn, are capable of some kind of direct access, through that Platonic quality of 'understanding', to the very ways in which our universe behaves at many different levels.

The more deeply we probe the fundamentals of physical behaviour, the more that it is very precisely controlled by mathematics.

It is always the case, with mathematics, that a little direct experience of thinking over things on your own can provide a much deeper understanding than merely reading about them.

I am not so much concerned, at this stage, with how individual mathematicians might differently approach a mathematical problem, but more with what is universal about our understandings and our mathematical perceptions.

Support for the Platonic viewpoint (as opposed to the formalist one) was an important part of Godel's initial motivations. On the other hand, the arguments from Godel's theorem serve to illustrate the deeply mysterious nature of our mathematical perceptions. We do not just 'calculate' in order to form these perceptions, but something else is profoundly involved-something that would be impossible without the very conscious awareness that is, after all, what the world of perceptions is all about.

Whereas I reject mysticism in its negation of scientific criteria for the furtherance of knowledge, I believe that within an expanded science and mathematics there will be found sufficient mystery ultimately to accommodate even the mystery of mind.

Another example of a class of well-defined mathematical problems that have no algorithmic solution is the tiling problem. This is formulated as follows: given a set of polygonal shapes, decide whether those shapes will tile the plane; that is, is it possible to cover the entire Euclidean plane using only these particular shapes, without gaps or overlaps?

G* No individual mathematician ascertains mathematical truth solely by means of an algorithm that he or she knows to be sound.

there seems to be something non-algorithmic about our conscious thinking. In particular, a conclusion from the argument in Chapter 4, particularly concerning Gödel's theorem, was that, at least in mathematics, conscious contemplation can sometimes enable one to ascertain the truth of a statement in a way that no algorithm could.

It is a famous theorem first proved by the great (Italian-) French mathematician Joseph L. Lagrange in 1770 that every number is, indeed, the sum of four squares.