---
title: "14 Mathematical Quotes By Henri Poincare"
description: "14 Mathematical quotes by Henri Poincare. Plus more from Henri Poincare and more Mathematical sayings from other authors."
image: "https://sms4smile.com/quotes/i/3c4/henri-poincare-3339_error_how-is-error-possible-in-mathematics-233_2335610.jpg"
---

> [How is error possible in mathematics?](https://sms4smile.com/quotes/henri-poincare/how-is-error-possible-in-mathematics/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/3c4/henri-poincare-3339_error_how-is-error-possible-in-mathematics-233_2335610.jpg)

> [A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.](https://sms4smile.com/quotes/henri-poincare/a-sane-mind-should-not-be-guilty-of-a-logical-fallacy-yet-there-are/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/28a/henri-poincare-3339_fallacy_a-sane-mind-should-not-be-guilty-of-a-lo_1208015.jpg)

> [Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him…](https://sms4smile.com/quotes/henri-poincare/talk-with-m-hermite-he-never-evokes-a-concrete-image-yet-you-soon/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/d75/henri-poincare-3339_abstract_talk-with-m-hermite-he-never-evokes-a-co_3221712.jpg)

> [Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.](https://sms4smile.com/quotes/henri-poincare/later-generations-will-regard-mengenlehre-set-theory-as-a-disease/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/2f3/henri-poincare-3339_disease_later-generations-will-regard-mengenlehr_3071202.jpg)

> [Mathematical discoveries, small or great are never born of spontaneous generation.](https://sms4smile.com/quotes/henri-poincare/mathematical-discoveries-small-or-great-are-never-born-of-spontaneous/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/2d4/henri-poincare-3339_born_mathematical-discoveries-small-or-great_956701.jpg)

> [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/fac/henri-poincare-3339_adapted_by-natural-selection-our-mind-has-adapte_30378.jpg)

> [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by-2/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/089/henri-poincare-3339_analogies_the-mathematical-facts-worthy-of-being-s_3114578.jpg)

> [Mathematics is the art of giving the same name to different things. \[As opposed to the quotation: Poetry is the art of…](https://sms4smile.com/quotes/henri-poincare/mathematics-is-the-art-of-giving-the-same-name-to-different-things-as/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/a20/henri-poincare-3339_art_mathematics-is-the-art-of-giving-the-sam_1662907.jpg)

> [Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well…](https://sms4smile.com/quotes/henri-poincare/mathematical-discoveries-small-or-great-are-never-born-of-spontaneous-2/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/82f/henri-poincare-3339_born_mathematical-discoveries-small-or-great_1494840.jpg)

> [...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling,…](https://sms4smile.com/quotes/henri-poincare/the-feeling-of-mathematical-beauty-of-the-harmony-of-numbers-and-of/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/eef/henri-poincare-3339_aesthetic_the-feeling-of-mathematical-beauty-of-th_2415778.jpg)

> [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/39c/henri-poincare-3339_absolutes_absolute-space-that-is-to-say-the-mark-t_92401.jpg)

> [Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer…](https://sms4smile.com/quotes/henri-poincare/thus-be-it-understood-to-demonstrate-a-theorem-it-is-neither-2/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/041/henri-poincare-3339_alive_thus-be-it-understood-to-demonstrate-a-t_3144034.jpg)

> [This harmony that human intelligence believes it discovers in nature - does it exist apart from that intelligence? No, without doubt, a…](https://sms4smile.com/quotes/henri-poincare/this-harmony-that-human-intelligence-believes-it-discovers-in-nature/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/eb6/henri-poincare-3339_analysis_this-harmony-that-human-intelligence-bel_1169709.jpg)

> [So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a…](https://sms4smile.com/quotes/henri-poincare/so-is-not-mathematical-analysis-then-not-just-a-vain-game-of-the-mind/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

[Image](https://sms4smile.com/quotes/i/392/henri-poincare-3339_analogies_so-is-not-mathematical-analysis-then-not_2979976.jpg)

## Other authors on Mathematical

## More by Henri Poincare

> [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation…](https://sms4smile.com/quotes/henri-poincare/if-we-knew-exactly-the-laws-of-nature-and-the-situation-of-the/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Science is facts.](https://sms4smile.com/quotes/henri-poincare/science-is-facts/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary-2/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [All of mathematics is a tale about groups.](https://sms4smile.com/quotes/henri-poincare/all-of-mathematics-is-a-tale-about-groups/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.](https://sms4smile.com/quotes/henri-poincare/a-cat-is-witty-he-has-nerve-he-knows-how-to-do-precisely-the-right/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [In the old days when people invented a new function they had something useful in mind.](https://sms4smile.com/quotes/henri-poincare/in-the-old-days-when-people-invented-a-new-function-they-had/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Intuition is more important to discovery than logic.](https://sms4smile.com/quotes/henri-poincare/intuition-is-more-important-to-discovery-than-logic/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical…](https://sms4smile.com/quotes/henri-poincare/mathematics-has-a-threefold-purpose-it-must-provide-an-instrument-for/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [Experiment is the sole source of truth.](https://sms4smile.com/quotes/henri-poincare/experiment-is-the-sole-source-of-truth/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [“ Qu'une goutee de vin tombe dans un verre d'eau; quelle que soit la loi du movement interne du liquide, nous verrons bientôt se…](https://sms4smile.com/quotes/henri-poincare/qu-une-goutee-de-vin-tombe-dans-un-verre-d-eau-quelle-que-soit-la-loi/)

[Henri Poincaré](https://sms4smile.com/quotes/author/henri-poincare/)

> [If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the…](https://sms4smile.com/quotes/henri-poincare/if-that-enabled-us-to-predict-the-succeeding-situation-with-the-same/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [“ Le savant doit ordonner ; on fait la science avec des faits comme une maison avec des pierres ; mais une accumulation de…](https://sms4smile.com/quotes/henri-poincare/le-savant-doit-ordonner-on-fait-la-science-avec-des-faits-comme-une/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

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                        "text": "...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know",
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                        "text": "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… The two propositions: \"The earth turns round\" and \"it is more convenient to suppose the earth turns round\" have the same meaning; there is nothing more in the one than in the other.",
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                        "text": "Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be replaced by the \"logic piano\" imagined by Stanley Jevons; or, if you choose, a machine might be imagined where the assumptions were put in at one end, while the theorems came out at the other, like the legendary Chicago machine where the pigs go in alive and come out transformed into hams and sausages. No more than these machines need the mathematician know what he does.",
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                        "text": "This harmony that human intelligence believes it discovers in nature - does it exist apart from that intelligence? No, without doubt, a reality completely independent of the spirit which conceives it, sees it or feels it, is an impossibility. A world so exterior as that, even if it existed, would be forever inaccessible to us. But what we call objective reality is, in the last analysis, that which is common to several thinking beings, and could be common to all; this common part, we will see, can be nothing but the harmony expressed by mathematical laws.",
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                        "text": "So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language; but isn't that a mediocre service, which after all we could have done without; and, it is not even to be feared that this artificial language be a veil, interposed between reality and the physicist's eye? Far from that, without this language most of the initimate analogies of things would forever have remained unknown to us; and we would never have had knowledge of the internal harmony of the world, which is, as we shall see, the only true objective reality.",
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