An approximate answer to the right problem is worth a good deal more than an exact answer to an approximate problem. — John Tukey
All exact science is dominated by the idea of approximation. — Bertrand Russell
It's better to solve the right problem approximately than to solve the wrong problem exactly. — John Tukey
Far better an approximate answer to the right question, which is often vague, than the exact answer to the wrong question, which can always be made precise. — John Tukey
All models are approximations. Essentially, all models are wrong, but some are useful. However, the approximate nature of the model must always be borne in mind. — George E. P. Box
Truth is much too complicated to allow anything but approximations. — John Von Neumann
Most important part of doing physics is the knowledge of approximation. — Lev Landau
One should always aim at being interesting, rather than exact. — Voltaire
Exaggerate the essential, leave the obvious vague. — Vincent Van Gogh
Vagueness is at times an indication of nearness to a perfect truth. — Charles Ives
Be precise. A lack of precision is dangerous when the margin of error is small. — Donald Rumsfeld
A translation can never equal the original; it can approach it, and its quality can only be judged as to accuracy by how close it gets. — Gregory Rabassa
Prediction is very difficult, especially if it's about the future. — Niels Bohr
I do not pretend to start with precise questions. I do not think you can start with anything precise. You have to achieve such precision as you can, as you go along. — Bertrand Russell
They should make risky and narrow predictions. — Naval Ravikant
A poor relation—is the most irrelevant thing in nature. — Charles Lamb
Eugene is located in western Oregon, approximately 278 billion miles from anything. — Dave Barry
A man only becomes wise when he begins to calculate the approximate depth of his ignorance. — Gian Carlo Menotti
The proportion of men must be reduced to and maintained at approximately 10% of the human race. — Sally Miller Gearhart
Zoo is an artificial territory, an approximation. Civilization is our natural territory. — Yann Martel
One hate crime is committed approximately every hour of every day in this country. — Anna Paquin
The ideal project does not exist, each time there is the opportunity to realize an approximation. — Paulo Mendes da Rocha
Flying from the United States to Tokyo takes approximately as long as law school. — Dave Barry
Every one of us sees 'green' differently. So everything is an approximation of understanding. — Nick Bantock
Approach Quotes
There is something that happens when you get emancipated. You approach life differently. You eat differently. You respect yourself more. You respect the gift you have been given. — Prince
Human development, as an approach, is concerned with what I take to be the basic development idea: namely, advancing the richness of human life, rather than the richness of the economy in which human beings live, which is only a part of it. — Amartya Sen
Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty. — Archimedes
Truth is one, though the sages know it as many . God is one, though different religions approach Him differently Call Him Shiva, Vishnu, Allah, Jesus or any other form of God that you believe in . Our paths may be different. Our destination is the same. — Amish Tripathi
What we find is that if you have a goal that is very, very far out, and you approach it in little steps, you start to get there faster. Your mind opens up to the possibilities. — Mae Jemison
There is no greater happiness for a man than approaching a door at the end of a day knowing someone on the other side of that door is waiting for the sound of his footsteps. — Ronald Reagan
Inhale, and God approaches you. Hold the inhalation, and God remains with you. Exhale, and you approach God. Hold the exhalation, and surrender to God. — Tirumalai Krishnamacharya
Experiences have clearly shown that an approach which 'de-medicalizes' birth, restores dignity and humanity to the process of childbirth, and returns control to the mother is also the safest approach. — Michel Odent
Science does not aim at establishing immutable truths and eternal dogmas; its aim is to approach the truth by successive approximations, without claiming that at any stage final and complete accuracy has been achieved. — Bertrand Russell
You must convince your heart that whatever Allah has decreed is most appropriate and most beneficial for you. — Al-Ghazali
Some people have a thick skin and you don’t. Your heart is really open and that is going to cause pain, but that is an appropriate response to this world. The cost is high, but the blessing of being compassionate is beyond your wildest dreams. — Anne Lamott
The strengthening of behavior which results from reinforcement is appropriately called 'conditioning'. In operant conditioning we 'strengthen' an operant in the sense of making a response more probable or, in actual fact, more frequent. — B. F. Skinner
The law which their prophet Mohamed has given to muslims is that any harm done to any one who does not accept their law and any appropriation of his goods, is no sin at all. — Marco Polo
Practically speaking, a life that is vowed to simplicity, appropriate boldness, good humor, gratitude, unstinting work and play, and lots of walking, brings us close to the actually existing world and its wholeness. — Gary Snyder
Aphorism Quotes
Be realistic, demand the impossible! — Che Guevara
Worrying is like paying a debt you don't owe. — Mark Twain
What the heart loves, the will chooses, and the mind justifies. — Thomas Cranmer
An aphorism ought to be entirely isolated from the surrounding world like a little work of art and complete in itself like a hedgehog. — Karl Wilhelm Friedrich Schlegel
An aphorism ought to be entirely isolated from the surrounding world like a little work of art and complete in itself like a hedgehog. — Friedrich Von Schlegel
Our live experiences, fixed in aphorisms, stiffen into cold epigrams. Our heart's blood, as we write it, turns to mere dull ink. — Francis H. Bradley
There are aphorisms that, like airplanes, stay up only while they are in motion. — Vladimir Nabokov
I got a note from my father, who said that Success is wonderful, if you don't inhale. That was his own aphorism, and I think it's the very best thing he could have said to me or anyone else on the subject. — Sam Waterston
How many of us have been attracted to reason; first learned to think, to draw conclusions, to extract a moral from the follies of life, by some dazzling aphorism. — Edward George BulwerLytton
How many of us have been first attracted to reason, first learned to think, to draw conclusions, to extract a moral from the follies of life, by some dazzling aphorism from Rochefoucauld or La Bruyere. — Bill Vaughan
Approximation Quotes
Simply from greening our energy system and eliminating fossil fuel pollution, we get so much healthier that the savings in health care alone are enough to pay the costs of the green energy transition and would repay those costs in approximately a decade and a half in savings. — Jill Stein
Approximately 80 % of our air pollution stems from hydrocarbons released by vegetation, so let's not go overboard in setting and enforcing tough emission standards from man-made sources. — Ronald Reagan
The fundamental problem of communication is that of reproducing at one point either exactly or approximately a message selected at another point. — Claude Shannon
You may consider yourself an individual, but as a cell biologist, I can tell you that you are in truth a cooperative community of approximately fifty trillion single-celled citizens. — Bruce H. Lipton
It is one thing to take as a given that approximately 70 percent of an entering high school freshman class will not attend college, but to assign a particular child to a curriculum designed for that 70 percent closes off for that child the opportunity to attend college. — James S. Coleman
The time evolution of human condition approximated as a Gaussian is more that of expanding variance than that of moving mean. — Andrej Karpathy
If those states which did not have right-to-carry concealed gun provisions had adopted them in 1992, approximately 1,570 murders; 4,177 rapes; and over 60,000 aggravate assaults would have been avoided yearly. — John R. Lott Jr.
Every normal person, in fact, is only normal on the average. His ego approximates to that of the psychotic in some part or other and to a greater or lesser extent. — Sigmund Freud
What happens after death is so unspeakably glorious that our imagination and our feelings do not suffice to form even an approximate conception of it. The dissolution of our time-bound form in eternity brings no loss of meaning. — Carl Jung
No one knows what the right algorithm is, but it gives us hope that if we can discover some crude approximation of whatever this algorithm is and implement it on a computer, that can help us make a lot of progress. — Andrew Ng
Experience is, for me, the highest authority. The touchstone of validity is my own experience. No other person's ideas, and none of my own ideas, are as authoritative as my experience. It is to experience that I must return again and again, to discover a closer approximation to truth as it is in the process of becoming me. — Carl Rogers
There are now about 1,100 functioning satellites in space, and at least 2,000 non-functioning ones. The Russians and Americans launched approximately 2,400 of the total, Japan and China 100 each, followed by a host of countries with far fewer. Below them are the space stations, where for the first time people live and work semi-permanently outside the confines of the earth’s gravity. — Tim Marshall
We can see several companies trying to mix an image of luxury with a mass-market approach. In order to be able to sell a product at a relatively high price, you have to offer the craftsmanship and quality that goes along with it. There’s an increase in products that have approximately the same look as luxury brands while providing a much lower standard. It’s not counterfeiting, but it is misleading. — Bernard Arnault
Much of the Greek coastline comprises steep cliffs and there are few coastal plains for agriculture. Inland are more steep cliffs, rivers that will not allow transportation, and few wide, fertile valleys. There is too little good agricultural land for Greece to become a major agricultural exporter, or to develop more than a handful of major urban areas containing highly educated, highly skilled, and technologically advanced populations. Its situation is further exacerbated by its location, with Athens positioned at the tip of the peninsula, almost cut off from land trade with Europe. It is reliant on the Aegean Sea for access to maritime trade in the region — but across that sea lies Turkey, a large potential enemy. Greece spends a vast amount of euros, which it doesn’t have, on defense. There are about 1,400 Greek islands 6,000 if you include various rocks sticking out of the Aegean of which approximately 200 are inhabited. It takes a decent navy just to patrol this territory, never mind one strong enough to defer any attempt to take the islands over. The result is a huge cost in military spending that Greece doesn’t have. During the Cold War, the Americans, and to a lesser extent, the British were content to underwrite some of the military requirements in order to keep the Soviet Union out of the Aegean and the Mediterranean. When the Cold War ended, so did the checks. — Tim Marshall
Properly understood, style is not a seductive decoration added to a functional structure; it is of the essence of a work of art. The necessary elements of style are lucidity, elegance, and individuality; these three qualities combine to form a preservative which ensures the nearest approximation to permanence in the fugitive art of letters. — Evelyn Waugh
Avoid pulpits, platforms, stages and pedestals. Keep to the hard ground. It is the only way you can judge your approximate status as a man. — Antonio Machado
You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals. — David Levithan
Domestic violence causes far more pain than the visible marks of bruises and scars. It is devastating to be abused by someone that you love and think loves you in return. It is estimated that approximately 3 million incidents of domestic violence are reported each year in the United States. — Dianne Feinstein
Photography is a contest between a photographer and the presumptions of approximate and habitual seeing. The contest can be held anywhere. — John Szarkowski
At 42,000' in approximately level flight, a third cylinder was turned on. Acceleration was rapid and speed increased to .98 Mach. The needle of the machmeter fluctuated at this reading momentarily, then passed off the scale. Assuming that the off-scale reading remained linear, it is estimated that 1.05 Mach was attained at this time. — Chuck Yeager
Whereas all humans have approximately the same life expectancy the life expectancy of stars varies as much as from that of a butterfly to that of an elephant. — George Gamow
A worker may be the hammer's master, but the hammer still prevails. A tool knows exactly how it is meant to be handled, while the user of the tool can only have an approximate idea. — Milan Kundera
A capitalist is someone who derives a substantial share of his income from his equity in producing companies. On this scale the figures are discouraging. Approximately ninety percent of the capital of this country is owned by five or less percent of the American people. — William F. Buckley, Jr.
Take of London fog 30 parts; malaria 10 parts, gas leaks 20 parts, dewdrops gathered in a brickyard at sunrise 25 parts; odor of honeysuckle 15 parts. Mix. The mixture will give you an approximate conception of a Nashville drizzle. — O. Henry
Take the so-called standard of living. What do most people mean by "living"? They don’t mean living. They mean the latest and closest plural approximation to singular prenatal passivity which science, in its finite but unbounded wisdom, has succeeded in selling their wives. — E. E. cummings
So long as the opposing forces are at the outset approximately equal in numbers and moral and there are no flanks to turn, a long struggle for supremacy is inevitable. — Douglas Haig
Six traits of effective leaders: 1. Make others feel important 2. Promote a vision 3. Follow the golden rule 4. Admit mistakes 5. Criticize others only in private 6. Stay close to the action Example has more followers than reason. We unconsciously imitate what pleases us, and approximate to the characters we most admire. — Christian Nestell Bovee
Over the long run, the price of gold approximates the total amount of money in circulation divided by the size of the gold stock. If the market price of gold moves a long way from this level, it may indicate a buying or selling opportunity. — Ray Dalio
In Conclusion
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