Quotes About Mathematics

Eight years later, Daniel Bernoulli, Jacob's nephew and an equally distinguished mathematician and scientist, first defined the systematic process by which most people make choices and reach decisions. Even more important, he propounded the idea that the satisfaction resulting from any small increase in wealth "will be inversely proportionate to the quantity of goods previously possessed." With

a Greek epigram about Diophantus states that "his boyhood lasted 1 /6th of his life; his beard grew after 1/12th more; he married after 1 /7th more, and his son was born five years later; the son lived to half his father's age, and the father died four years after his son." How old was Diophantus when he died?7

Whetstone of Witte introduced the symbol "_" because "noe 2 thynges can be more equalle than a pair of paralleles.

What we're doing is an aesthetic pursuit. It involves craftsmanship as well as mathematics and it involves people skills and prose skills—all of these things that we don't necessarily think of as engineering but without which I don't think you'll ever be a really good engineer.

Of a techno-human culture that wants to be more than a successful barbarism, two things above all are required: psychological cultural formation and the cultural capacity for translation. Mathematicians must become poets, cyberneticists must become philosophers of religion, doctors must become composers, computer scientists must become shamans. Was humanity ever something other than the art of managing transitions?

We will focus attention on binary relations as these are by far the most important. If R ? S × S is a binary relation on S, it is common to use the notation aRb in place of (a, b) ? R.

The art of war lies in calculating the odds very closely to begin with, and then in adding exactly, almost mathematically, the factor of chance. Chance

You can count in binary on your fingers up to 1023.

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.

I believe that in my generation, the belief in a platonic mathematics has often been a substitute religion for people who have abandoned or even rejected traditional religions. Where can certainty be found in a chaotic universe that often seems meaningless? Mathematics has often been claimed to be the sole source of absolute certainty.

Thus, they do not need to understand the statistical and mathematical models in depth. However, marketers need to understand the fundamental ideas behind a predictive model so that they can guide the technical teams to select data to use and which patterns to find.

I have discovered a truly marvellous demonstration [of this general theorem] which this margin is too narrow to contain.

It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.

Cuius rei demostrationem mirabilem sane detexi hanc marginis exiquitas non caperet. Tengo una prueba verdaderamente maravillosa para esta afirmación, pero el margen es demasiado estrecho para contenerla.

In my own research when I'm working with equations, I never feel like I really understand what I'm doing if I'm solely relying on the mathematics for my understanding. I need to have a visual picture in my mind. I'm constantly translating from the math to some intuitive mind's-eye picture.

The reason bubbles are spherical is that a sphere is the smallest, most economical form possible to contain a given volume.

After preliminary work by a number of other distinguished mathematicians and economists, game theory as a systematic theory started with von Neumann and Morgenstern's book, 'Theory of Games and Economic Behavior,' published in 1944.

My first contact with game theory was a popular article in 'Fortune Magazine' which I read in my last high school year. I was immediately attracted to the subject matter, and when I studied mathematics, I found the fundamental book by von Neumann and Morgenstern in the library and studied it.

We are servants rather than masters in mathematics.

People seem to be afraid of science, and certainly, people seem to be afraid of mathematics. And I think that's such a shame, because I don't think it's as hard as people seem to think it is.

I knew a lot of black scientists, engineers, and mathematicians, and female mathematicians and engineers, women of all backgrounds. So this idea that anyone could be an engineer, a mathematician, or whatever, was something that I had grown up with and thought was really normal.

Googol?'' ''That's a one with one hundred zeroes after it.

Luego me midieron el dedo pulgar de la mano derecha, y no necesitaron más, pues por medio de un cálculo matemático, según el cual dos veces la circunferencia del dedo pulgar es una vez la circunferencia de la muñeca

Some time after, asking a friend at court how they came to fix on that determinate number, he told me that his majesty's mathematicians, having taken the height of my body by the help of a quadrant, and finding it to exceed theirs in the proportion of twelve to one, they concluded from the similarity of their bodies, that mine must contain at least 1724 of theirs, and consequently would require as much food as was necessary to support that number of Lilliputians. By