Quotes by Mathematicians

If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws. Henri Poincare
Situation Predict Say Approximation Laws Had Governed Been Same Predicted Succeeding Us Require Should Phenomenon
It is far better to foresee even without certainty than not to foresee at all. Henri Poincare
Better Without Foresee Than Far Certainty Even
Science is facts. Henri Poincare
Science Facts
In the old days when people invented a new function they had something useful in mind. Henri Poincare
People Old Mind Something Invented Had New Days Old Days Useful Function
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration? Henri Poincare
Feeling Indeed Solution Gives Demonstration Us Elegance
A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. Henri Poincare
Work Great Nature Pleasure Worthy About Name Scientist His Mathematician Impression Same Artist Experiences
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence. Henri Poincare
Space Mark Earth Say Would Would-Be Objective Absolute Know Refer Existence Moves Whether Which Really Necessary
Facts do not speak. Henri Poincare
Speak Facts
To invent is to discern, to choose. Henri Poincare
Invent Discern Choose
A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance. Henri Poincare
Cause Considerable Our Say We Cannot See Determines Small Fail Due Effect Very Escapes Cannot Which Then Notice Chance
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment. Henri Poincare
Nature Situation Predict Universe Exactly Laws Could Knew Same Succeeding Moment Initial
Because men believe not in Providence, therefore they do so greedily scrape and hoard. They do not believe in any reward for charity, therefore they will part with nothing. Isaac Barrow
Charity Reward Will Men Nothing Believe Part Because Providence Scrape Hoard Any Therefore
Facetiousness is allowable when it is the most proper instrument of exposing things apparently base and vile to due contempt. Isaac Barrow
Vile Proper Most Instrument Contempt Due Apparently Exposing Base Things
It is safe to make a choice of your thoughts, scarcely ever safe to express them all. Isaac Barrow
Thoughts Scarcely Safe Make Them Choice Your Express Ever
Even private persons in due season, with discretion and temper, may reprove others, whom they observe to commit sin, or follow bad courses, out of charitable design, and with hope to reclaim them. Isaac Barrow
Hope Design Others Reclaim Out Bad Temper Charitable Follow Observe Sin Courses Due Private Discretion Commit May Them Persons Even Whom Season
I pass by that it is very culpable to be facetious in obscene and smutty matters. Isaac Barrow
Matters Obscene Pass Very
If men are wont to play with swearing anywhere, can we expect they should be serious and strict therein at the bar or in the church. Isaac Barrow
Strict Church Men Expect Wont Anywhere Bar Swearing Should Therein Serious Play
That justice should be administered between men, it is necessary that testimonies of fact be alleged; and that witnesses should apprehend themselves greatly obliged to discover the truth, according to their conscience, in dark and doubtful cases. Isaac Barrow
Truth Justice Dark Men Apprehend Alleged Cases Obliged Fact Between Witnesses Discover According Greatly Themselves Should Doubtful Conscience Necessary
That men should live honestly, quietly, and comfortably together, it is needful that they should live under a sense of God's will, and in awe of the divine power, hoping to please God, and fearing to offend Him, by their behaviour respectively. Isaac Barrow
God Together Will Men Power Sense Live Honestly Please Respectively Hoping Fearing Divine Him Comfortably Offend Quietly Behaviour Should Awe
Wherefore for the public interest and benefit of human society it is requisite that the highest obligations possible should be laid upon the consciences of men. Isaac Barrow
Obligations Men Society Benefit Possible Highest Human Wherefore Laid Interest Public Should Public Interest Requisite Human Society
It is reasonable that forces directed toward bodies depend on the nature and the quantity of matter of such bodies, as happens in the case of magnetic bodies. Isaac Newton
Nature Matter Depend Case Directed Magnetic Toward Forces Quantity Happens Bodies Reasonable
We are to admit no more causes of natural things than such as are both true and sufficient to explain their appearances. Isaac Newton
Natural Admit More Both True Causes Than Explain Appearances Sufficient Things
Absolute space, in its own nature, without regard to anything external, remains always similar and immovable. Relative space is some movable dimension or measure of the absolute spaces, which our senses determine by its position to bodies, and which is vulgarly taken for immovable space. Isaac Newton
Nature Space Own Our Relative Dimension Immovable Some Determine Similar Absolute Remains Taken Without Always Movable Regard Anything Senses Spaces Which Bodies Measure External Position
The Ignis Fatuus is a vapor shining without heat. Isaac Newton
Without Shining Heat
We are certainly not to relinquish the evidence of experiments for the sake of dreams and vain fictions of our own devising; nor are we to recede from the analogy of Nature, which is wont to be simple and always consonant to itself. Isaac Newton
Dreams Nature Simple Own Vain Analogy Our Evidence Relinquish Devising Always Sake Nor Itself Wont Fictions Experiments Which Certainly Recede
I do not love to be printed on every occasion, much less to be dunned and teased by foreigners about mathematical things or to be thought by our own people to be trifling away my time about them when I should be about the king's business. Isaac Newton
Love Time Business People Thought King Own Every Our Trifling About My Time Occasion Printed Foreigners Mathematical Them Much Should Less Teased Away Things
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