Mathematical Problems Quotes

Elegance; it lacks the intellect -
he is not a dancer who dances to the beat of love - on the other hand, the heart, can not solve mathematical problems. ~ Kristian Goldmund Aumann

If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could peer round the corner there might be an easy solution. There is nothing like having somebody else beside you, because he can usually peer round the corner. ~ Michael Atiyah

The measure of our intellectual capacity is the capacity to feel less and less satisfied with our answers to better and better problems. ~ C. West Churchman

Before a kid learns how to use a computer that can solve mathematical problems, he or she should know how to do arithmetic without a computer. ~ Andy Rooney

One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution. ~ George Polya

Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the laws of physics that their particles have been moved, moulded and conformed. They are no exceptions to the rule that God always geometrizes. Their problems of form are in the first instance mathematical problems, their problems of growth are essentially physical problems, and the morphologist is, ipso facto, a student of physical science. ~ D'Arcy Wentworth Thompson

Music is a secret and unconscious mathematical problem of the soul. ~ Gottfried Leibniz

An old French mathematician said: A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us. ~ David Hilbert

Mathematical problems, or puzzles, are important to real mathematics (like solving real-life problems), just as fables, stories and anecdotes are important to the young in understanding real life ~ Terence Tao

her on the dorm board. We had only twenty girls in a batch of two hundred. Goodlooking ones were rare; girls don't get selected to IIM for their looks. They get in because they can solve mathematical problems faster than 99.99% of India's population and crack the CAT. Most IIM girls are above shallow things like makeup, fitting clothes, contact lenses, removal of facial hair, body odour and feminine charm. Girls like Ananya, if and when they arrive by freak chance, become instant pin-ups in out testosterone-charged, estrogen-starved campus. ~ Anonymous

Mathematics, you see, is not a spectator sport. To understand mathematics means to be able to do mathematics. And what does it mean [to be] doing mathematics? In the first place, it means to be able to solve mathematical problems. ~ George Polya

By the time the average person finishes college, he or she will have taken over 2,600 tests, quizzes, and exams. The right answer approach becomes deeply ingrained in our thinking. This may be fine for some mathematical problems where there is in fact only one right answer. The difficulty is that most of life isn't this way. Life is ambiguous; there are many right answers- all depending on what you're looking for. But if you think there is only one right answer, then you'll stop looking as soon as you find one. ~ Roger Von Oech

I could quote enough Nietzsche to bore someone into a coma, solve mathematical problems so beautiful they'd make Pythagoras cry; I could talk so much bullshit the listener didn't know if I was coming or going, but I had gotten to know Rickie well enough to realize that I had no idea how a woman's mind worked. ~ T.J. Forrester

Even with the most stupid video games, kids learn more about learning than they ever did before, because they want to learn codes and moves before other kids figure them out. They're motivated to seek out someone or search the Net for help. A student who makes a video game has to solve mathematical problems to make special effects happen on the screen. ~ Seymour Papert

A philosopher is a mathematician, who might not be good at solving mathematical problems but knows 'which one' to solve and 'why' to solve it... ~ Victor Ghoshe

I combat the errors of ages; I meet the violence of mobs; I cope with illegal proceedings from executive authority; I cut the gordian knot of powers, and I solve mathematical problems of universities, with truth-diamond truth; and God is my 'right hand man'. ~ Joseph Smith Jr.

Ken appeared, was taller than she, wanted her, was acceptable and accepted on all sides; similarly, nagging mathematical problems abruptly crack open. Foxy could find no fault with him, and this challenged her, touched off her stubborn defiant streak. She felt between his handsomeness and intelligence a contradiction that might develop into the convoluted humour of her Jew. Ken looked lika a rich boy and worked like a poor one. From Farmington, he was the only son of a Hartford laywer who never lost a case. Foxy came to imagine his birth as cool and painless, without a tear or outcry. Nothing puzzled him. There were unknowns, but no mysteries. ( ... ) He was better-looking, better-thinking, a better machine. ~ John Updike

As a single atom man is an enigma: as a whole he is a mathematical problem. As an individual he is a free agent, as a species the offspring of necessity. ~ William Winwood Reade

This paper gives wrong solutions to trivial problems. The basic error,however, is not new. ~ Clifford Truesdell

Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems. ~ Carl Pomerance

The tantalizing and compelling pursuit of mathematical problems offers mental absorption, peace of mind amid endless challenges, repose in activity, battle without conflict, refuge from the goading urgency of contingent happenings, and the sort of beauty changeless mountains present to senses tried by the present day kaleidoscope of events. ~ Morris Kline

More people have access to education today than ever before. But I cannot help but feel that the modern educational experience is not preparing us adequately to attend the rich banquet of life. Certainly the young people of today have mastered the use of technology and are capable of solving complex scientific and mathematical problems, but who and what do these serve if they cannot think for themselves? If they have no understanding of the meaning and purpose of their own lives? If they do not know who they are as individuals? ~ Matthew Kelly

A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution. ~ David Hilbert

WORK MAKES MEN. A university is not merely a place for making scholars, it is a place for making Christians. A farm is not a place for growing corn, it is a place for growing character, and a man has no character except that which is developed by his life and thought. God's Spirit does the building through the acts which a man performs from day to day. A student who cons out every word in his Latin and Greek instead of consulting a translation finds that honesty is translated into his character. If he works out his mathematical problems thoroughly, he not only becomes a mathematician, but becomes a thorough man. It is by constant and conscientious attention to daily duties that thoroughness and conscientiousness and honorableness are imbedded in our beings. Character is ~ Henry Drummond

In my opinion, one of the greatest animal-welfare problems is the physical abuse of livestock during transportation ... Typical abuses I have witnessed with alarming frequency are; hitting, beating, use of badly maintained trucks, jabbing of short objects into animals, and deliberate cruelty. ~ Temple Grandin

The organizers first job is to create the issues or problems, and organizations must be based on many issues. The organizer must first rub raw the resentments of the people of the community; fan the latent hostilities of many of the people to the point of overt expression. He must search out controversy and issues, rather than avoid them, for unless there is controversy people are not concerned enough to act ... An organizer must stir up dissatisfaction and discontent. ~ Saul Alinsky

It was so difficult for the fans to understand my problems with baseball. ~ Curt Flood

Go to a playground: Little girls get called 'bossy' all the time, a word that's almost never used for boys. And that leads directly to the problems women face in the workforce. When a man does a good job, everyone says, 'That's great.' When a woman does that same thing, she'll get feedback that says things like, 'Your results are good, but your peers just don't like you as much' or 'maybe you were a little aggressive.' ~ Sheryl Sandberg

Instead of asking God to remove our problems so that our lives might be happy, we must purposefully try to learn as much as we can - and thereby become happier due to our insights and growth. ~ Karen Salmansohn

While I was studying film at the Academy, the problems started. I wasn't a political activist directly in the time of Saddam [Hussein], because the dictator was so cruel and brutal that no one could criticize or complain. I felt futile and empty. The only solution in Iraq was to run away. ~ Hassan Blasim

I always look on imagination as one of the most powerful things we can cultivate in young people. If they have a good, active imagination, they can cope with life better; they are ... able to imagine possibilities and to think around problems. ~ Michael Pryor

The Bible says not to let the sun go down on your anger,' Dad said. 'I've applied that to our marriage, and it's helped us work through plenty of problems and disappointments.'
'You've had problems?'
At the surprise in his tone, Mom laughed. 'Of course we have. We're both sinners, aren't we? ~ Jody Hedlund

I don't love you as if you were the salt-rose, topaz
or arrow of carnations that propagate fire:
I love you as certain dark things are loved,
secretly, between the shadow and the soul.
I love you as the plant that doesn't bloom and carries
hidden within itself the light of those flowers,
and thanks to your love, darkly in my body
lives the dense fragrance that rises from the earth.
I love you without knowing how, or when, or from where,
I love you simply, without problems or pride:
I love you in this way because I don't know any other way of loving
but this, in which there is no I or you,
so intimate that your hand upon my chest is my hand,
so intimate that when I fall asleep it is your eyes that close. ~ Pablo Neruda

Nature is an infinite sphere of which the center is everywhere and the circumference nowhere. ~ Blaise Pascal

Change Won't Happen Immediately, as Nigeria's Problems Didn't Start Overnight ~ Mo Abudu

Did you really ever think of me when you were kidnapped? Because I look at all the things you went through, and my first instinct is to shield you from my problems - but sometimes you act like nothing happened to you at all. ~ Lia Habel

The American people want solutions to the problems our country faces. They may disagree on exactly how to address the issues, but they want them addressed all the same. ~ Martha Roby

Nonfiction filmmakers were afflicted by two problems: one technical, the other spiritual. Technically, they did not have the equipment to do the sort of work I had in mind. Spiritually, they didn't care about the work because they'd been mistrained. ~ Robert Drew

While Indian CEOs in Non-Indian companies are getting all the praise and admiration from the Indians, startups born on Indian soil remain unrecognized - this is not a matter of pride, it's a matter of shame, especially for a population whose history is replete with mathematical, scientific and philosophical achievements. ~ Abhijit Naskar

The new OS is neither the classic communism of centralized planning without private property nor the undiluted selfish chaos of a free market. Instead, it is an emerging design space in which decentralized public coordination can solve problems and create things that neither pure communism nor pure capitalism can. ~ Kevin Kelly

Within childhood behaviors, there are known behaviors; there's teasing and there's name-calling, and different kinds of things happen as kids start to socialize. And then there's serious bullying, and then there's actual aggression and behavioral problems. But you can't put it all under the tent of bullying. ~ Julianne Moore

Not every situation has a perfect solution; often, you just have to take your pick from the array of poor choices spread out before you. ~ Drew Hayes

The essence of Hilbert's program was to find a decision process that would operate on symbols in a purely mechanical fashion, without requiring any understanding of their meaning. Since mathematics was reduced to a collection of marks on paper, the decision process should concern itself only with the marks and not with the fallible human intuitions out of which the marks were reduced. In spite of the prolonged efforts of Hilbert and his disciples, the Entscheidungsproblem was never solved. Success was achieved only in highly restricted domains of mathematics, excluding all the deeper and more interesting concepts. Hilbert never gave up hope, but as the years went by his program became an exercise in formal logic having little connection with real mathematics. Finally, when Hilbert was seventy years old, Kurt Godel proved by a brilliant analysis that the Entscheindungsproblem as Hilbert formulated it cannot be solved.

Godel proved that in any formulation of mathematics, including the rules of ordinary arithmetic, a formal process for separating statements into true and false cannot exist. He proved the stronger result which is now known as Godel's theorem, that in any formalization of mathematics including the rules of ordinary arithmetic there are meaningful arithmetical statements that cannot be proved true or false. Godel's theorem shows conclusively that in pure mathematics reductionism does not work. To decide whether a mathematical statement is true, it is not ~ Freeman Dyson

An important thing to remember is, just because a person has problems communicating, doesn't mean that person doesn't want to communicate with others. ~ Tomohito Oda

My problems are light as a feather 'cause God holds them for me. ~ Skylar Laine

Our country today is at a cross-point of several crises that were triggered by three groups of causes: the effects of the 2008 world crisis, the external political and economic pressure, and the internal problems and constraints that have built up in our economy ~ Dmitry Medvedev

After getting myself relatively educated in the area of national transformation, I have come to discover that it makes better sense to look at what I could do to fix the problems of the society rather than blaming others for what is wrong in the country. ~ Sunday Adelaja

If you have sensory issues yourself, keep in mind that sensory problems manifest differently in every person, and they can even differ from day to day. ~ Nancy Peske

I am beginning to realize, at the ripe old age of twenty-nine, that one of the problems I have in life is a tendency to completely romanticize how things will be in the future, which inevitably leads to disappointment because it's pretty much never, never, what I expect ~ Jane Green

Never let yourself be goaded into taking seriously problems about words and their meanings. What must be taken seriously are questions of fact, and assertions about facts: theories and hypotheses; the problems they solve; and the problems they raise. ~ Karl R. Popper

Problems come to our life not to give us pain, but to make us humble, kind, strong and fearless. ~ Debasish Mridha

Besides, it left the humans in the Culture free to take care of the things that really mattered in life, such as sports, games, romance, studying dead languages, barbarian societies and impossible problems, and climbing high mountains without the aid of a safety harness. ~ Iain M. Banks

In future, every time I was tempted to sit back and ask God to solve my problems, I'd be able to roll up my sleeve and be reminded of what I'd learned at the zoo.
That God gave us heaven and earth and loving hearts, and the rest is up to us. ~ Morris Gleitzman

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them. ~ George Polya

I see no constitutional problems with the identification, staving off and defusing of outside threats. ~ Thomas De Maiziere

Problems are only opportunities with thorns on them. ~ Hugh Miller

A misconception that really pisses me off is that therapy is a hippy-dippy cop out for those who are too weak to deal with their problems. [...] It takes enormous amounts of mental effort to arrive at a place where you can ask for help, and even more to believe your problems are valid and warrant being taken seriously by a third party. ~ Ruby Elliot

Walking around on the moon was significantly easier than we'd thought it would be. There weren't any balance problems, so you weren't tumbling over. ~ Buzz Aldrin

There is a certain oddity to Larry Fink having problems in Washington. He is a strong Democrat who has close ties to President Obama and has often been rumored as set to take a big administration job, such as Secretary of the Treasury. ~ Carol Loomis

One of the great problems of the world today is undoubtedly this problem of not being able to talk to scientists, because we don't understand science; they can't talk to us because they don't understand anything else, poor dears. ~ Michael Flanders

Everyone, in all walks of life, regardless of his professional occupation should feel concerned and play an active role to solve such problems which affect mankind ... ~ Haile Selassie

Our century is probably more religious than any other. How could it fail to be, with such problems to be solved? The only trouble is that it has not yet found a God it can adore. ~ Pierre Teilhard De Chardin

It's a weight problem isn't it; you can't wait for lunch. ~ Al Murray

It seems to me that the real problem is the mind itself, and not the problem which the mind has created and tries to solve. ~ Jiddu Krishnamurti