Top 1200 Mathematical Beauty Quotes & Sayings - Page 3

Love is beauty and beauty is truth, and that is why in the beauty of a flower we can see the truth of the universe.

Sex and beauty are inseparable, like life and consciousness. And the intelligence which goes with sex and beauty, and arises out of sex and beauty, is intuition.

Conventions of generality and mathematical elegance may be just as much barriers to the attainment and diffusion of knowledge as may contentment with particularity and literary vagueness... It may well be that the slovenly and literary borderland between economics and sociology will be the most fruitful building ground during the years to come and that mathematical economics will remain too flawless in its perfection to be very fruitful.

The taste of the more recent accessions to the leisure class proper and of the middle and lower classes still requires a pecuniary beauty to supplement the aesthetic beauty, even in those objects which are primarily admired for the beauty that belongs to them as natural growths.

As a man may be born with a mathematical faculty, and by training that faculty year after year may immensely increase his mathematical capacity, so may a man be born with certain faculties within him, faculties belonging to the soul, which he can develop by training and by discipline.

We turn outward, attracted by the beauty we see in created things without realizing that they are only a reflection of the real beauty. And the real beauty is within us.

Know, son, that everything in the universe is a pitcher brimming with wisdom and beauty, the universe is a drop of the 'Tigris of His beauty, this beauty was a Hidden Treasure so full it burst open and made the earth more radiant than the heavens.

Beauty is a key to the mystery and a call to transcendence. It is an invitation to savor life and to dream of the future. That is why the beauty of created things can never fully satisfy. It stirs that hidden nostalgia for God which a lover of beauty like Saint Augustine could express in incomparable terms: 'Late have I loved you, beauty so old and so new: late have I loved you!'.

But as the work proceeded I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was not more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.

If nature leads us to mathematical forms of great simplicity and beauty - by forms I am referring to coherent systems of hypothesis, axioms, etc. - to forms that no one has previously encountered, we cannot help thinking that they are "true," that they reveal a genuine feature of nature... You must have felt this too: The almost frightening simplicity and wholeness of relationships which nature suddenly spreads out before us and for which none of us was in the least prepared.

Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?

I have never understood models. I find it really hard to find beauty in that or to discover beauty because the beauty was so obvious.

The beauty that is there is also available for me, too. But I see a deeper beauty that isn't so readily available to others.... I don't see how studying a flower ever detracts from its beauty. It only adds

True love survives all shocks: an affection originally produced by admiration for unusual beauty may not only survive the loss of that beauty, but may become more intense if the beauty has changed into ugliness through causes that bind the lovers together in tender associations.

...What is the use of beauty? i have lived my life surrounded by painters, and still I do not know the answer. But i suspect, some days, that beauty helps protect the spirit of mankind, swaddle it and succor it, so that we might survive. Beauty is no end in itself, but if it makes or lives less miserable so that we might be more kind-well, then, lets have beauty, painted on our porcelain, hanging on our walls, ringing through our stories.

If you can visualize the whole of spring and see Paradise with the eye of belief, you may understand the utter majesty of everlasting Beauty. If you respond to that Beauty with the beauty of belief and worship, you will be a most beautiful creature.

Our inability to see the beauty doesn't suggest in the slightest that beauty is not there. Rather, it suggests that we are not looking carefully enough or with broad enough perspective to see the beauty.

The purpose of creation is beauty. Nature in all its various aspects develops towards beauty, and therefore it is plain that the purpose of life is to evolve towards beauty.

The strength that we want is not a brute, unregulated strength; the beauty that we want is no mere surface beauty; but we want a beauty on the surface of life that is from the central force of principle within, as the beauty on the cheek of health is from the central force at the heart.

It is the search for beauty...That is what it is. We find ourselves on this earth--gods and men--and we know that it is beautiful. That is one of the few things we understand--beauty; because it is there, in the world, and we can see it all about us. We want beauty. It requires our love. It just does.

I think the idea of the social construction of beauty - this idea that beauty is simply whatever culture or society says it is - is on the run. Of course, beauty does arise in a cultural context. No one ever denies that. But there's also a natural response people have to it.

The beauty of a woman is not in a facial mode but the true beauty in a woman is reflected in her soul. It is the caring that she lovingly gives the passion that she shows. The beauty of a woman grows with the passing years.

No sooner have you feasted on beauty with your eyes than your mind tells you that beauty is vain and beauty passes

Justice precedes beauty. Without justice, beauty is impossible, an obscenity. And when beauty has gone, what does a cameraman do with his eye?

But beauty is set apart, beauty is cast by the sea, a barren rock, beauty is set about with wrecks of ships.

Here is a quilted book about mathematical practice, each patch wonderfully prepared. Part invitation to number theory, part autobiography, part sociology of mathematical training, Mathematics without Apologies brings us into contemporary mathematics as a living, active inquiry by real people. Anyone wanting a varied, cultured, and penetrating view of today's mathematics could find no better place to engage.

There is a slow-growing beauty which only comes to perfection in old age.... I have seen sweeter smiles on a lip of seventy than I ever saw on a lip of seventeen. There is the beauty of youth, and there is also the beauty of holiness—a beauty much more seldom met; and more frequently found in the arm-chair by the fire, with grandchildren around its knee, than in the ball-room or the promenade.

Unless we look at a person and see the beauty there is in this person, we can contribute nothing to him. One does not help a person by discerning what is wrong, what is ugly, what is distorted. Christ looked at everyone he met, at the prostitute, at the thief, and saw the beauty hidden there. Perhaps it was distorted, perhaps damaged, but it was beauty none the less, and what he did was to call out this beauty.

It was the upward-reaching and fathomlessly hungering, heart-breaking love for the beauty of the world at its most beautiful, and, beyond that, for that beauty east of the sun and west of the moon which is past the reach of all but our most desperate desiring and is finally the beauty of Beauty itself, of Being itself and what lies at the heart of Being.

I was watching the Nina Simone documentary alone in my room, and I said out loud to myself, 'Why do we not know that this woman is beauty? She is beauty! Why did no one tell me this growing up? Why was her name not next to 'beauty' in the dictionary?'

Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.

Beauty is in the eye of the beholder. Should the beholder have poor eyesight, he can ask the nearest person which girls look good. Beauty is in the hand of the beer holder. Beauty is in the heart of the beholder.

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.

Suppose you stand on a high place to enjoy the beauty of the sparkling sea below. You need do nothing to create that beauty; you need only BE IN THE SAME PLACE WHERE IT IS, and let nature do the rest. So it is with the inner life. There is nothing we can DO to gain psychic beauty. It already exists without our effort. We need only be where we belong, that is, in self-union. Then, beauty IS.

Kant, discussing the various modes of perception by which the human mind apprehends nature, concluded that it is specially prone to see nature through mathematical spectacles. Just as a man wearing blue spectacles would see only a blue world, so Kant thought that, with our mental bias, we tend to see only a mathematical world.

Envying another's beauty will diminish your own. But when you praise beauty in others your own beauty deepens.

It's so hard to give beauty a meaning. I actually find quite a lot of beauty in really painful things. Really grotesque things. Things that are disturbing. I think as you go and as you see things in the world, your idea of beauty expands and I think I'm lucky because I've been exposed to so many different types of beauty and I've realized that any feeling you cherish is beautiful.

And yet--it is not beauty that inspires the deepest passion. Beauty without grace is the hook without the bait. Beauty, without expression, tires.

We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.

It is shallow people who think beauty is frivolous or excessive. If you are bringing beauty and god, you are enriching the country. Rice feeds the body, books feed the mind, beauty feeds the soul. It is one thing I can really be proud of and stand tall in the world.

We live in a time when people are afraid of beauty, because beauty passes; you can't hang on to it. And even if you see something or someone beautiful, the next time you hear it, it sounds different. So you can't cling to beauty; beauty passes and when that passes, you realize you pass too, and you will die. And that's why people cry at a beautiful view, a beautiful lecture, a beautiful painting, a new baby.

What I realized is that if we're going to be able to have a theory about what happens in, for example, nature there has to ultimately be some rule by which nature operates. But the issue is does that rule have to correspond to something like a mathematical equation, something that we have sort of created in our human mathematics? And what I realized is that now with our understanding of computation and computer programs and so on, there is actually a much bigger universe of possible rules to describe the natural world than just the mathematical equation kinds of things.

Most craft give a nod, however brief and unfriendly, towards beauty. Vogon ships did not nod towards beauty. They pulled on ski masks and mugged beauty in a dark alley They spat in the eye of beauty and bludgeoned their wait through the notions of aesthetics and aerodynamics. Vogon cruisers did not so much travel through space as defile it and toss it aside.

Beauty is also submitted to the taste of time, so a beautiful woman from the Belle Epoch is not exactly the perfect beauty of today, so beauty is something that changes with time.

In France, they call the beauty of youth 'the evil beauty.' You don't have it because of you but because you're born with it. The other kind of beauty is your own work, and it takes forever.

But there is a beauty every girl has—a gift from God, as pure as the sunlight, and as sacred as life. It is a beauty that all men love, a virtue that wins all men's souls. That beauty is chastity. Chastity without skin beauty may enkindle the soul; skin beauty without chastity can kindle only the eye. Chastity enshrined in the mold of true womanhood will hold true love eternally.

Beauty is more important in computing than anywhere else in technology because software is so complicated. Beauty is the ultimate defense against complexity. ... The geniuses of the computer field, on the the other hand, are the people with the keenest aesthetic senses, the ones who are capable of creating beauty. Beauty is decisive at every level: the most important interfaces, the most important programming languages, the winning algorithms are the beautiful ones.

Art as a political gesture is committed to making something beautiful, and then understanding what beauty is in your own time, because what we think of as beauty changes with time. The notion of beauty everywhere changes.

The refining influence is the study of art, which is the science of beauty; and I find that every man values every scrap of knowledge in art, every observation of his own in it, every hint he has caught from another. For the laws of beauty are the beauty of beauty, and give the mind the same or a higher joy than the sight of it gives the senses. The study of art is of high value to the growth of the intellect.

The first recognition of beauty was one of the most significant events in the evolution of human conciousness... seeing beauty in a flower could awaken humans, however briefly, to the beauty that is an essential part of their own innermost being, their true nature.

As I look into the future, I see radical changes in both how people 'attain beauty,' and how the world perceives beauty. In general, I believe traditional beauty will be less valuable - and more uniqueness will be heralded.

For external beauty, you put on things; for real beauty, you have to drop all things. For external beauty you have to have make-up; for real beauty you only have to realize that you are already made up.

Beauty feeds us. Anarchy is beauty. We are against the grey people. We want to decorate, like those fantastic Indian lorries which are covered with flowers. Beauty must conquer the lust for order; order is ugliness.

Color contributes to beauty, but it is not beauty. Color should have a minor part in the consideration of beauty, because it is not color but the structure that constitutes its essence.

Goldie Hawn has always been a beauty and fashion icon to me. She radiates joy and infuses beauty into everything through her smile and spirit. She is a great example of what real beauty means to me.

Beauty is the enemy . We try to conquer not feeling beautiful all our lives. It's a battle that can't be won. There's no definition of beauty. The only way to achieve beauty is to feel it from inside without breaking down into individual physical attributes.

Sring is the mantra of beauty. Traditionally it is connected with Lakshmi, the Indian goddess of beauty. Chant "Sring" slowly, elongating each sound. As you do, you will see the consciousness of beauty of everywhere.

People often say that 'beauty is in the eye of the beholder,' and I say that the most liberating thing about beauty is realizing that you are the beholder. This empowers us to find beauty in places where others have not dared to look, including inside ourselves.

As we all know, there is inner beauty and outer beauty. If we examine inner beauty, to me there is nothing more beautiful than inner peace, in a man or a woman.

Beauty has as many meanings as man has moods. Beauty is the symbol of symbols. Beauty reveals everything, because it expresses nothing. When it shows us itself, it shows us the whole fiery-coloured world.