Math Quotes - Page 48

I concluded that I might take as a general rule the principle that all things which we very clearly and obviously conceive are true: only observing, however, that there is some difficulty in rightly determining the objects which we distinctly conceive.

If I found any new truths in the sciences, I can say that they follow from, or depend on, five or six principal problems which I succeeded in solving and which I regard as so many battles where the fortunes of war were on my side.

When writing about transcendental issues, be transcendentally clear.

All my family has very good mathematical abilities - like, so dorky. I was the dork then in school - on any maths exams I'd get 100%. I just knew how to do maths and most people would hate it, but for some reason it just came.

I've always had a more spatial mind, mathematical, than literal.

... being perpetually charmed by his familiar siren, that is, by his geometry, he neglected to eat and drink and took no care of his person; that he was often carried by force to the baths, and when there he would trace geometrical figures in the ashes of the fire, and with his finger draws lines upon his body when it was anointed with oil, being in a state of great ecstasy and divinely possessed by his science.

The ludicrous state of solid geometry made me pass over this branch.

Such is the advantage of a well constructed language that its simplified notation often becomes the source of profound theories.

Gradually, at various points in our childhoods, we discover different forms of conviction. There's the rock-hard certainty of personal experience ("I put my finger in the fire and it hurt,"), which is probably the earliest kind we learn. Then there's the logically convincing, which we probably come to first through maths, in the context of Pythagoras's theorem or something similar, and which, if we first encounter it at exactly the right moment, bursts on our minds like sunrise with the whole universe playing a great chord of C Major.

The numbers are a catalyst that can help turn raving madmen into polite humans.

Mathematics is for lazy people.

Computation involves going from a question to an answer. Mathematics involves going from an answer to a question.

I was excellent at English and Drama. Maths and Science I was terrible at. I didn't have any interest in them. I was happiest at lunchtime, playing with my friends. But I love science now, that's the funny thing. And I'd be so good at geography, as I've been fortunate enough to travel the world.

In the physical world, one cannot increase the size or quantity of anything without changing its quality. Similar figures exist only in pure geometry.

Before the math and the momentum overwhelm us all, we are going to solve this nation's economic problems. And I'm going to level with you: We don't have that much time. But if we are serious, and smart, and we lead, we can do this.

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.

Mathematics is not a language, it's an adventure

Mathematics is the purest of the arts, as well as the most misunderstood.

The computer is important, but not to mathematics.

... the student skit at Christmas contained a plaintive line: "Give us Master's exams that our faculty can pass, or give us a faculty that can pass our Master's exams."

Many teachers are concerned about the amount of material they must cover in a course. One cynic suggested a formula: since, he said, students on the average remember only about 40% of what you tell them, the thing to do is to cram into each course 250% of what you hope will stick.

The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. There is no logical reason why the second method should be possible at all, but one has found in practice that it does work and meets with reasonable success.

You're sure your new roommate won't be like the last one who wore tinfoil socks and had a tendency to occasionally urinate in the refrigerator. You're sure you'll pass Math 106 this time around. You're determined to actually join some clubs this year and not just sit around in your dorm eating spray cheese from a can and watching youtube videos about cats.

Mathematicians boast of their exacting achievements, but in reality they are absorbed in mental acrobatics and contribute nothing to society.

The advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil.