In the beginning of the year 1665 I found the Method of approximating series & the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found...

It seems to me that the poet has only to perceive that which others do not perceive, to look deeper than others look. And the mathematician must do the same thing.

One cool thing about mathematics is they (the audience) don’t have to be able to understand math to see the passion that makes it so exciting to them.

Further, the same Arguments which explode the Notion of Luck, may, on the other side, be useful in some Cases to establish a due comparison between Chance and Design: We may imagine Chance and Design...

A relativist is an individual who doesn’t know the difference between an adjective and an adverb.

Mathematics doesn’t care about those beyond the numbers.

Everyone now agrees that a physics lacking all connection with mathematics … would only be an historical amusement, fitter for entertaining the idle than for occupying the mind of a philosopher.

May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.

Littlewood, on Hardy’s own estimate, is the finest mathematician he has ever known. He was the man most likely to storm and smash a really deep and formidable problem; there was no one else who...

As a teacher, Tengo pounded into his students’ heads how voraciously mathematics demanded logic. Here things that could not be proven had no meaning, but once you had succeeded in proving something, the world’s riddles...

Is everyone with one face called a Milo?””Oh no,” Milo replied; “some are called Henry or George or Robert or John or lots of other things.””How terribly confusing,” he cried. “Everything here is called exactly...

Mathematics itself is a black hole of physics.

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

[Math] curriculum is obsessed with jargon and nomenclature seemingly for no other purpose than to provide teachers with something to test the students on.

I couldn’t claim that I was smarter than sixty-five other guys–but the average of sixty-five other guys, certainly!

Your Excellency, I have no need of this hypothesis.

Do not worry about your problems with mathematics, I assure you mine are far greater.

No one shall expel us from the paradise which Cantor has created for us.{Expressing the importance of Georg Cantor’s set theory in the development of mathematics.}

Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems—general and specific statements—can be deduced from the starting assumptions. It...

In the online math class, there was almost no meaningful student/teacher or student/student interaction. To equate this type of online learning with a real-world classroom experience is a major stretch.

From the age of 13, I was attracted to physics and mathematics. My interest in these subjects derived mostly from popular science books that I read avidly. Early on I was fascinated by theoretical physics...

[Regarding mathematics,] there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy. This may be true; indeed it is probable, since the sensational triumphs of Einstein, that stellar...

Like Molière’s M. Jourdain, who spoke prose all his life without knowing it, mathematicians have been reasoning for at least two millennia without being aware of all the principles underlying what they were doing. The...

eight plus nine is congruent to five, modulo twelve.

Physics depends on a universe infinitely centred on an equals sign.

Luck is the grand equalizer.

E per tutto il giorno mi riempivano la testa di stronzate che volevano farmi tenere a mente, come ad esempio le equazioni per calcolare la distanza fra il posto dove ci trovavamo e quelle in...

{Replying to G. H. Hardy’s suggestion that the number of a taxi (1729) was ‘dull’, showing off his spontaneous mathematical genius}No, it is a very interesting number; it is the smallest number expressible as a...

Mathematics, as much as music or any other art, is one of the means by which we rise to a complete self-consciousness. The significance of mathematics resides precisely in the fact that it is an...

In adolescence, I hated life and was continually on the verge of suicide, from which, however, I was restrained by the desire to know more mathematics.

Mr Baley”, said Quemot, “you can’t treat human emotions as though they were built about a positronic brain”.”I’m not saying you can. Robotics is a deductive science and sociology an inductive one. But mathematics can...

The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and...

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy’s main source of problems. That is why it is of...

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost...

Magic is like a lot of other disciplines that people have recently begun developing, in historic terms. Working with magic is a way of understanding the universe and how it functions. You can approach it...

Women have a passion for mathematics. They divide their age in half, double the price of their clothes, and always add at least five years to the age of their best friend.

With me, everything turns into mathematics.

By simple mathematics giving is key to the world you seek to live in. If I take I alone gain. If I give or share then two at least are enriched.

[The Old Astronomer to His Pupil]Reach me down my Tycho Brahe, I would know him when we meet,When I share my later science, sitting humbly at his feet;He may know the law of all things,...

Programmers are not mathematicians, no matter how much we wish and wish for it.

Yes, we have to divide up our time like that, between our politics and our equations. But to me our equations are far more important, for politics are only a matter of present concern. A...

A mathematician is a magician who converts adjectives into nouns: continuous into continuum, infinite into infinity, infinitesimal into location, 0D into point, 1D into line, curved into geodesic…

I lose faith in mathematics, logical and rigid. What with those that even zero doesn’t accept?

A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science:’The probability of an event is the reason we have to believe that it has taken place, or that it will...

Mathematics is the music of reason.

In every department of physical science there is only so much science, properly so-called, as there is mathematics.

Of course, reading novels was just another form of escape. As soon as he closed their pages he had to come back to the real world. But at some point Tengo noticed that returning to...

But that can never be,” said Milo, jumping to his feet.”Don’t be too sure,” said the child patiently, “for one of the nicest things about mathematics, or anything else you might care to learn, is...

Mathemata mathematicis scribuntur.

The issue, then, is not, What is the best way to teach? but, What is mathematics really all about?… Controversies about…teaching cannot be resolved without confronting problems about the nature of mathematics.