mathematics

Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe. This single fact took the scientific world by storm. It completely revolutionized it. So many mathematical conferences got held in such good restaurants that many of the finest minds of a generation died of obesity and heart failure and the science of maths was put back by years.

I guess I think of lotteries as a tax on the mathematically challenged.

Essentially, all models are wrong, but some are useful

Math is a very peculiar thing, for in it all numbers have a double but not all have halves.

Certainly the best times were when I was alone with mathematics, free of ambition and pretense, and indifferent to the world.

If you plug in a number and the math starts getting creepy (anything involving fractions or negative numbers is creepy)...

The focus of history and philosophy of science scholar Arthur Miller__ (2010) "137: Jung and Pauli and the Pursuit of Scientific Obsession" is Jung and Pauli__mutual effort to discover the cosmic number or fine structure constant, which is a fundamental physical constant dealing with electromagnetism, or, from a different perspective, could be considered the philosopher__ stone of the mathematical universe.This was indeed one of Pauli and Jung__ collaborative passions, but it was not the only concentration of their relationship. Quantum physics could be seen as the natural progression from ancient alchemy, through chemistry, culminating in the abstract world of subatomic particles, wave functions, and mathematics. [Ancient Egypt and Modern Psychotherapy]

It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being linked by a complex of relations both among themselves and with those above and below. The lower the stratum, the deeper (and in general more difficult) the idea. Thus the idea of an __rrational_ is deeper than that of an integer; and Pythagoras__ theorem is, for that reason, deeper than Euclid__.

Mathematician need only peace of mind and occasionally, paper and pencil.

I could never have gone far in any science because on the path of every science the lion Mathematics lies in wait for you.

Mathematics isn__ just science, it is poetry _ our efforts to crystallise the unglimpsed connections between things. Poetry that bridges and magnifies the mysteries of the galaxy. But the signs and symbols and equations sentients employ to express these connections are not discoveries but the teasing out of secrets that have always existed.

It's a simple matter of mathematics.

I did the math. (I presume Americans don't pluralise mathematics because they only plan to do it once.)

It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.

The important thing to remember about mathematics is not to be frightened

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.

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our __reations_, are simply our notes of our observations. This view has been held, in one form or another, by many philosophers of high reputation from Plato onwards.

That's because, if correct, a mathematical formula expresses an eternal truth about the universe. Hence no one can claim ownership of it; it is ours to share. Rich or poor, black or white, young or old - no one can take these formulas away from us. Nothing in this world is so profound and elegant, and yet so available to all.