501 quotes by mathematicians for you to enjoy

Nothing can be divided into more parts than it can possibly be constituted of. But matter (i.e. finite) cannot be constituted of infinite parts. Isaac Newton

Matter Nothing Possibly More Finite Divided Parts Than Infinite Cannot

I there represent that I sent notice of my method to Mr. Leibnitz before he sent notice of his method to me, and left him to make it appear that he had found his method before the date of my letter. Isaac Newton

Me Before Date Had He Make Him Method His Left Represent Sent Notice Appear Found Letter

That the divided but contiguous particles of bodies may be separated from one another is a matter of observation; and, in the particles that remain undivided, our minds are able to distinguish yet lesser parts, as is mathematically demonstrated. Isaac Newton

Matter Our Minds Distinguish Able Remain Divided Observation Particles Another Parts Mathematically May Bodies Separated Lesser

In experimental philosophy, we are to look upon propositions inferred by general induction from phenomena as accurately or very nearly true, notwithstanding any contrary hypotheses that may be imagined, till such time as other phenomena occur by which they may either be made more accurate or liable to exceptions. Isaac Newton

Time Made Liable Other Philosophy General More Exceptions Hypotheses True Look Occur Till Very Contrary Accurate Accurately Any May Experimental Either Which Notwithstanding Nearly Phenomena Imagined

The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible? James C. Maxwell

Man Intelligence World Matter Space Mind Atoms Sense Divisible Equally Within Material Material World Exist Perplexed Questions Itself Infinite Infinitely Places Full Hard Hard Questions Many Extent

One must do no violence to nature, nor model it in conformity to any blindly formed chimera. Janos Bolyai

Nature Blindly Must Nor Model Any Formed Conformity Violence

I bought some books in order to learn the first principles of philosophy. Johann Heinrich Lambert

First Books Philosophy Some Bought Learn Principles Order

The place of my birth, and residence for nearly sixteen years, in the early part of my life, became endeared to my feelings and affections; and more especially so after I had quitted it for an unknown place, and to associate with strangers. John Britton

Life My Life Feelings Strangers Birth Unknown More Had Part Became Years Affections Sixteen After Place Residence Nearly Early Associate

I went to M.I.T. in the summer of 1951 as a 'C.L.E. Moore Instructor.' I had been an instructor at Princeton for one year after obtaining my degree in 1950. It seemed desirable more for personal and social reasons than academic ones to accept the higher-paying instructorship at M.I.T. John Forbes Nash, Jr.

Degree Princeton Year Summer Moore Seemed More Had Academic Instructor Obtaining Accept Been Than Personal After Social Reasons Desirable

Though I had success in my research both when I was mad and when I was not, eventually I felt that my work would be better respected if I thought and acted like a 'normal' person. John Forbes Nash, Jr.

Success Work Better Thought Research Respected Though Mad Would Would-Be Both Had Like Felt Normal Normal Person Person Acted Eventually

I seem to be thinking rationally again in the style that is characteristic of scientists. However, this is not entirely a matter of joy, as if someone returned from physical disability to good physical health. One aspect of this is that rationality of thought imposes a limit on a person's concept of his relation to the cosmos. John Forbes Nash, Jr.

Health Good Joy Matter Thought Style Thinking Relation One Aspect Characteristic Physical Cosmos Seem Someone Physical Health Entirely Rationality Rationally Disability Concept Returned Limit Scientists However His Person Again Aspect

You could see how money is different all of a sudden in Italy when they had the lire and now they have the euro. So they, in a revolutionary way, have gone from bad money to good money comparatively. But what about the rest of the world? John Forbes Nash, Jr.

Of course, the American education system is very inefficient in many ways compared to other countries in Europe or Japan, but it works in such a way that at least the few people who are going onto unusual careers and science can manage to get into that, even though they go through an earlier stage that doesn't give them much. John Forbes Nash, Jr.

Education Science People Few Stage Other Other Countries Way Ways Though System Give Through Onto Countries Unusual Course Inefficient Least Go Very Get American Manage Few People Going Japan Them Much Such A Way Who Europe Many Works Even Compared Earlier Careers

I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research. John Forbes Nash, Jr.

Myself Research Thinking Finally Circumstances Would More Hypotheses Delusional Return Renounce Revert Mathematical Human Conventional

I seem to be thinking rationally again in the style that is characteristic of scientists. However, this is not entirely a matter of joy as if someone returned from physical disability to good physical health. John Forbes Nash, Jr.

Health Good Joy Matter Style Thinking Characteristic Physical Seem Someone Physical Health Entirely Rationally Disability Returned Scientists However Again

I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959. John Forbes Nash, Jr.

Mathematics Spring Through Faculty Until Resigned

It has had a tremendous impact on my life, more than on the life of most Prize winners, because I was in an unusual situation. I was unemployed at the time. I was in good health, but I had reached the age of 66 and beginning to get social security, but I didn't have much of that. I had many years of unemployment before me. John Forbes Nash, Jr.

Life Time Health Good Good Health Me Age My Life Before Beginning Situation Tremendous Security Impact More Winners Had Most Reached Unusual Because Years Unemployed Unemployment Than Prize Get Social Much Many Social Security

I did have strange ideas during certain periods of time. John Forbes Nash, Jr.

Time Strange Ideas Periods Did Certain

I didn't become interested in derivatives until 1982, 1983. John Hull

Become Until Interested Derivatives

I guess any simple idea that is really good will catch on quickly. John Hull

Good Simple Will Guess Simple Idea Catch Idea Quickly Any Really

Yes, our tree has an interesting shape. The center branches reflect the shape of the zero curve. When extreme parts of the tree are reached the branching pattern changes to accommodate the mean reversion. John Hull

Reflect Tree Changes Our Extreme Shape Reached Parts Accommodate Yes Branches Center Curve Pattern Interesting Mean Zero

Briefly speaking, our conclusion is that stochastic volatility does not make a huge difference as far as the pricing is concerned if you get the average volatility right. It makes a big difference as far as hedging is concerned. John Hull

Quotes by Mathematicians