--- title: "Meaning & Key Takeaway of: If one looks at the different problems of…" description: "\"If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, i..." image: "https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg" --- # If one looks at the different problems of the integral… ![“If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.” quote by Henri Poincare](https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg) [Download](https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg) [Open image](https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg) > “If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.” [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The deep connections between calculus and physics reveal striking analogies that inspire insight across disciplines. **In simple terms:** Calculus and physics share powerful parallels. Key Takeaway Explore interdisciplinary analogies to deepen understanding. Themes mathematics physics analogy interdisciplinary inspiration Mood inquisitive analytical inspired Type educational scientific When to use this quote - research - education - problem solving - theory development - cross‑field collaboration Key Concepts calculus theoretical physics conceptual mapping Questions to Reflect On - What analogies have you found most fruitful? - How do you test an analogy’s validity? A Different Perspective The quote assumes all analogies are helpful, but some may be misleading or superficial. ★ ★ ★ ★ ★ No ratings yet [Analogies](https://sms4smile.com/quotes/about/analogies/) [Analogies Existing](https://sms4smile.com/quotes/about/analogies-existing-4478833/) [Arise](https://sms4smile.com/quotes/about/arise/) [Calculus](https://sms4smile.com/quotes/about/calculus/) [Different](https://sms4smile.com/quotes/about/different/) [Impossible](https://sms4smile.com/quotes/about/impossible/) [Integral calculus](https://sms4smile.com/quotes/about/integral-calculus/) [Looks](https://sms4smile.com/quotes/about/looks/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Parts Physics](https://sms4smile.com/quotes/about/parts-physics-4478835/) [Physics](https://sms4smile.com/quotes/about/physics/) [Struck Analogies](https://sms4smile.com/quotes/about/struck-analogies-4478834/) ## Related quotes > [I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus.](https://sms4smile.com/quotes/albert-einstein/i-never-failed-in-mathematics-before-i-was-fifteen-i-had-mastered/) [Albert Einstein](https://sms4smile.com/quotes/author/albert-einstein/) > [I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral,…](https://sms4smile.com/quotes/w-s-gilbert/i-m-very-good-at-integral-and-differential-calculus-i-know-the/) [W. S. Gilbert](https://sms4smile.com/quotes/author/w-s-gilbert/) > [ But just as much as it is easy to find the differential \[derivative\] of a given quantity, so it is difficult to find the… ](https://sms4smile.com/quotes/johann-bernoulli/but-just-as-much-as-it-is-easy-to-find-the-differential-derivative-of/) [Johann Bernoulli](https://sms4smile.com/quotes/author/johann-bernoulli/) > [The great trick of regarding small departures from the truth as the truth itself - on which is founded the entire integral calculus -…](https://sms4smile.com/quotes/georg-c-lichtenberg/the-great-trick-of-regarding-small-departures-from-the-truth-as-the/) [Georg C. Lichtenberg](https://sms4smile.com/quotes/author/georg-c-lichtenberg/) > [Science is the Differential Calculus of the mind. Art the Integral Calculus; they may be beautiful when apart, but are greatest only when combined.](https://sms4smile.com/quotes/ronald-ross/science-is-the-differential-calculus-of-the-mind-art-the-integral/) [Ronald Ross](https://sms4smile.com/quotes/author/ronald-ross/) > [ I see with much pleasure that you are working on a large work on the integral Calculus \[ ... \] The reconciliation of the… ](https://sms4smile.com/quotes/pierre-simon-laplace/i-see-with-much-pleasure-that-you-are-working-on-a-large-work-on-the/) [Pierre-Simon Laplace](https://sms4smile.com/quotes/author/pierre-simon-laplace/) > [In my free time I do differential and integral calculus.](https://sms4smile.com/quotes/karl-marx/in-my-free-time-i-do-differential-and-integral-calculus/) [Karl Marx](https://sms4smile.com/quotes/author/karl-marx/) > [I am the very model of a modern major general](https://sms4smile.com/quotes/w-s-gilbert/i-am-the-very-model-of-a-modern-major-general/) [W. S. Gilbert](https://sms4smile.com/quotes/author/w-s-gilbert/) > [Those interested in celestial navigation are advised to first obtain a rudimentary knowledge of integral calculus, phlebotomy, astral physics and related subjects. The use…](https://sms4smile.com/quotes/henry-miller/those-interested-in-celestial-navigation-are-advised-to-first-obtain/) [Henry Miller](https://sms4smile.com/quotes/author/henry-miller/) > [The effects of heat are subject to constant laws which cannot be discovered without the aid of mathematical analysis. The object of the theory…](https://sms4smile.com/quotes/joseph-fourier/the-effects-of-heat-are-subject-to-constant-laws-which-cannot-be/) [Joseph Fourier](https://sms4smile.com/quotes/author/joseph-fourier/) > [The chief difficulty of modern theoretical physics resides not in the fact that it expresses itself almost exclusively in mathematical symbols, but in the…](https://sms4smile.com/quotes/celia-green/the-chief-difficulty-of-modern-theoretical-physics-resides-not-in-the/) [Celia Green](https://sms4smile.com/quotes/author/celia-green/) > [Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to…](https://sms4smile.com/quotes/felix-klein/every-one-who-understands-the-subject-will-agree-that-even-the-basis/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far…](https://sms4smile.com/quotes/isaac-asimov/after-years-of-finding-mathematics-easy-i-finally-reached-integral/) [Isaac Asimov](https://sms4smile.com/quotes/author/isaac-asimov/) > [“There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In…](https://sms4smile.com/quotes/carl-sagan/there-is-a-mathematical-underpinning-that-you-must-first-acquire/) [Carl Sagan](https://sms4smile.com/quotes/author/carl-sagan/) > [So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language;…](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/) ## 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/) [Explore all 130 Henri Poincare quotes ](https://sms4smile.com/quotes/author/henri-poincare/) ## More Analogies quotes > [I always use the analogy that when you go to a jeans store and put on a new pair of jeans, it's a pair…](https://sms4smile.com/quotes/eric-bana/i-always-use-the-analogy-that-when-you-go-to-a-jeans-store-and-put-on/) [Eric Bana](https://sms4smile.com/quotes/author/eric-bana/) > [ Kanye \[West\] just says the funniest analogies that are so random. I should start keeping a book - in 20 years, I'll have a… ](https://sms4smile.com/quotes/kim-kardashian/kanye-west-just-says-the-funniest-analogies-that-are-so-random-i/) [Kim Kardashian](https://sms4smile.com/quotes/author/kim-kardashian/) > [Historical analogy is the last refuge of people who can't grasp the current situation.](https://sms4smile.com/quotes/anonymous/historical-analogy-is-the-last-refuge-of-people-who-can-t-grasp-the/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Calvin: Today for show and tell, I've brought a tiny miracle of nature: a single snowflake! I think we might all learn a lesson…](https://sms4smile.com/quotes/bill-watterson/calvin-today-for-show-and-tell-i-ve-brought-a-tiny-miracle-of-nature/) [Bill Watterson](https://sms4smile.com/quotes/author/bill-watterson/) > [For some people, getting pregnant is as easy as catching cold." And there certainly was an analogy there: Colds and babies were both caused…](https://sms4smile.com/quotes/kurt-vonnegut/for-some-people-getting-pregnant-is-as-easy-as-catching-cold-and/) [Kurt Vonnegut](https://sms4smile.com/quotes/author/kurt-vonnegut/) > [That is why the analogy of stealing does not work. With a thief, we want to know how much money he or she stole,…](https://sms4smile.com/quotes/lukas-foss/that-is-why-the-analogy-of-stealing-does-not-work-with-a-thief-we/) [Lukas Foss](https://sms4smile.com/quotes/author/lukas-foss/) > [The nude does not simply represent the body, but relates it, by analogy, to all structures that have become part of our imaginative experience.](https://sms4smile.com/quotes/kenneth-clark/the-nude-does-not-simply-represent-the-body-but-relates-it-by-analogy/) [Kenneth Clark](https://sms4smile.com/quotes/author/kenneth-clark/) > [His lessons were chock-full of analogies for a variety of musical situations. Those little things were my favorites. 'No . . . that's too…](https://sms4smile.com/quotes/manny-laureano/his-lessons-were-chock-full-of-analogies-for-a-variety-of-musical/) [Manny Laureano](https://sms4smile.com/quotes/author/manny-laureano/) > [E-books are impervious to analogy.](https://sms4smile.com/quotes/scott-adams/e-books-are-impervious-to-analogy/) [Scott Adams](https://sms4smile.com/quotes/author/scott-adams/) > [Imagination runs out. But it makes sense, right? We probably just imagine things based on what we already know, and we run out of…](https://sms4smile.com/quotes/robin-sloan/imagination-runs-out-but-it-makes-sense-right-we-probably-just/) [Robin Sloan](https://sms4smile.com/quotes/author/robin-sloan/) > [Apt analogies are among the most formidable weapons of the rhetorician.](https://sms4smile.com/quotes/winston-churchill/apt-analogies-are-among-the-most-formidable-weapons-of-the-rhetorician/) [Winston Churchill](https://sms4smile.com/quotes/author/winston-churchill/) > [In my photographic work I'm generally attracted to places that contain memories, history, atmospheres and stories. I'm interested in the places where people have…](https://sms4smile.com/quotes/michael-kenna/in-my-photographic-work-i-m-generally-attracted-to-places-that/) [Michael Kenna](https://sms4smile.com/quotes/author/michael-kenna/) > [There is then no analogy whatever between the operations of the Chess-Player, and those of the calculating machine of Mr. Babbage , and if…](https://sms4smile.com/quotes/edgar-allan-poe/there-is-then-no-analogy-whatever-between-the-operations-of-the-chess/) [Edgar Allan Poe](https://sms4smile.com/quotes/author/edgar-allan-poe/) > [The real achievement in discoveries... is seeing an analogy where no one saw one before... The essence of discovery is that unlikely marriage of…](https://sms4smile.com/quotes/arthur-koestler/the-real-achievement-in-discoveries-is-seeing-an-analogy-where-no-one/) [Arthur Koestler](https://sms4smile.com/quotes/author/arthur-koestler/) > [The expressive techniques of painting are capable of conveying an analogy but not an impossible photograph of a moment.](https://sms4smile.com/quotes/edouard-vuillard/the-expressive-techniques-of-painting-are-capable-of-conveying-an/) [Edouard Vuillard](https://sms4smile.com/quotes/author/edouard-vuillard/) [Browse all 311 Analogies quotes ](https://sms4smile.com/quotes/about/analogies/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.", "creator": { "@type": "Person", "name": "Henri Poincare" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/henri-poincare/if-one-looks-at-the-different-problems-of-the-integral-calculus-which/", "about": { "@type": "Thing", "name": "Analogies" }, "@id": "https://sms4smile.com/quotes/henri-poincare/if-one-looks-at-the-different-problems-of-the-integral-calculus-which/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg", "contentUrl": "https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg", "url": "https://sms4smile.com/quotes/i/b9e/henri-poincare-3339_arise_if-one-looks-at-the-different-problems-o_2144327.jpg", "width": 1080, "height": 1080, "caption": "“If one looks at the different problems of the integral calculus which arise naturally when one wishes to go…” — Henri Poincare", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "Henri Poincare", "item": "https://sms4smile.com/quotes/author/henri-poincare/" }, { "@type": "ListItem", "position": 4, "name": "If one looks at the different...", "item": "https://sms4smile.com/quotes/henri-poincare/if-one-looks-at-the-different-problems-of-the-integral-calculus-which/" } ], "@id": "https://sms4smile.com/quotes/henri-poincare/if-one-looks-at-the-different-problems-of-the-integral-calculus-which/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```