Quotes by Stanislaw Ulam - Page 1

Thoughts are steered in different ways.
Stanislaw Ulam / Mathematician
Different
Different Ways
Way
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Rota's personality is compatible with mine.
Stanislaw Ulam / Mathematician
Science
Mathematics
Personality
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Whatever is worth saying, can be stated in fifty words or less.
Stanislaw Ulam / Mathematician
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I am turned off when I see only formulas and symbols, and little text.
Stanislaw Ulam / Mathematician
Formulas
Littles
Turned Off
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According to recent studies, at least one star out of three is multiple.
Stanislaw Ulam / Mathematician
Stars
Study
Three
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The infinite we shall do right away. The finite may take a little longer.
Stanislaw Ulam / Mathematician
Infinite
Littles
May
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In mathematics, as in physics, so much depends on chance, on a propitious moment.
Stanislaw Ulam / Mathematician
Chance
Moments
Physics
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It is not so much whether a theorem is useful that matters, but how elegant it is.
Stanislaw Ulam / Mathematician
Elegant
Matter
Theorems
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... there's nothing new under the sun - everything can be traced back to Archimedes or even earlier.
Stanislaw Ulam / Mathematician
Nothing New
Nothing New Under The Sun
Sun
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Mathematics may be a way of developing physically, that is anatomically, new connections in the brain.
Stanislaw Ulam / Mathematician
Brain
Connections
May
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It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.
Stanislaw Ulam / Mathematician
Mathematics
Possession
Taken
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The mathematicians know a great deal about very little and the physicists very little about a great deal.
Stanislaw Ulam / Mathematician
Littles
Mathematician
Physicist
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I am always amazed how much a certain facility with a special and apparently narrow technique can accomplish.
Stanislaw Ulam / Mathematician
Certain
Special
Technique
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Knowing what is big and what is small is more important than being able to solve partial differential equations.
Stanislaw Ulam / Mathematician
Able
Important
Knowing
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Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has.
Stanislaw Ulam / Mathematician
Challenges
Fortresses
Mathematics
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What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.
Stanislaw Ulam / Mathematician
Defining
Exactly Is
Mathematics
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It is most important in creative science not to give up. If you are an optimist you will be willing to "try" more than if you are a pessimist.
Stanislaw Ulam / Mathematician
Creative
Giving Up
Important
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It is still an unending source of surprise for me how a few scribbles on a blackboard or on a piece of paper can change the course of human affairs.
Stanislaw Ulam / Mathematician
Change
Paper
Pieces
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For many years I was the youngest among my mathematical friends. It makes me melancholy to realize that I now have become the oldest in most groups of scientists.
Stanislaw Ulam / Mathematician
Groups
Realizing
Years
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Ada came from Lwów. She was a very good looking girl who was studying mathematics at the University of Geneva. For a few years I had an off-and-on romance with her.
Stanislaw Ulam / Mathematician
Girl
Romance
Years
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He [John von Neumann] had the invaluable faculty of being able to take the most difficult problem and separate it into its components, whereupon everything looked brlliantly simple.
Stanislaw Ulam / Mathematician
Learning
Able
Simple
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With sixty professors there are roughly eighteen hundred pairs of professors. Out of that many pairs it was not surprising that there were some whose members did not like one another.
Stanislaw Ulam / Mathematician
Hundred
Pairs
Professors
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Sometimes I feel that a more rational explanation for all that has happened during my lifetime is that I am still only thirteen years old, reading Jules Verne or H. G. Wells, and have fallen asleep.
Stanislaw Ulam / Mathematician
Reading
Sometimes
Years
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In many cases, mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug.
Stanislaw Ulam / Mathematician
Mathematical
Mathematics
Reality
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In its evolution from a more primitive nervous system, the brain, as an organ with ten or more billion neurons and many more connections between them must have changed and grown as a result of many accidents.
Stanislaw Ulam / Mathematician
Brain
Connections
Neurons
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I'm an agnostic. Sometimes I muse deeply on the forces that are for me invisible. When I am almost close to the idea of God, I feel immediately estranged by the horrors of this world, which he seems to tolerate.
Stanislaw Ulam / Mathematician
Agnostic
Ideas
World
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Thinking very hard about the same problem for several hours can produce a severe fatigue, close to a breakdown. I never really experienced a breakdown, but have felt "strange inside" two or three times during my life.
Stanislaw Ulam / Mathematician
Thinking
Three
Two
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Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?
Stanislaw Ulam / Mathematician
Technology
Impossible
Mathematics
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Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside mathematics. This lead quickly to very pleasant relationships.
Stanislaw Ulam / Mathematician
Civilization
Latin
Memories
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I was still very hopeful that much work lay ahead of me. Perhaps because much of what I had worked on or thought about had not yet been put into writing, I felt I still had things in reserve. Given this optimistic nature, I feel this way even now when I am past sixty.
Stanislaw Ulam / Mathematician
Optimistic
Hopeful
Past
Writing
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One conversation centered on the ever accelerating progress of technology and changes in the mode of human life, which gives the appearance of approaching some essential singularity in the history of the race beyond which human affairs, as we know them, could not continue.
Stanislaw Ulam / Mathematician
Technology
Giving
Race
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Very soon I discovered that if one gets a feeling for no more than a dozen other radiation and nuclear constants, one can imagine the subatomic world almost tangibly, and manipulate the picture dimensionally and qualitatively, before calculating more precise relationships.
Stanislaw Ulam / Mathematician
Feelings
Nuclear
World
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There may be such a thing as habitual luck. People who are said to be lucky at cards probably have certain hidden talents for those games in which skill plays a role. It is like hidden parameters in physics, this ability that does not surface and that I like to call "habitual luck".
Stanislaw Ulam / Mathematician
Games
Play
Skills
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By an incredible coincidence, Gamow and Edward Condon, who had discovered simultaneously and independently the explanation of radioactivity (one in Russia, the other in this country), came to spend the the last ten years of their lives within a hundred yards of each other in Boulder.
Stanislaw Ulam / Mathematician
Country
Russia
Years
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As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence.
Stanislaw Ulam / Mathematician
Brilliant
Complicated
Self Confidence
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What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.
Stanislaw Ulam / Mathematician
Exactly Is
Numbers
People
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