--- title: "Meaning & Key Takeaway of: There is no branch of mathematics…" description: "\"There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.\" — Nikolai Lobachevsky" image: "https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png" --- # There is no branch of mathematics, however abstract, which… ![“There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.” quote by Nikolai Lobachevsky](https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png) [Download](https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png) [Open image](https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png) > “There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.” Nikolai Lobachevsky ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. All abstract mathematics eventually finds real‑world application, underscoring the long‑term utility of pure research. **In simple terms:** Even abstract math becomes useful someday. Key Takeaway Support curiosity‑driven scientific inquiry. Themes science mathematics abstraction application future utility Mood optimistic intellectual Type educational philosophical When to use this quote - STEM curricula - research funding debates - technology development Key Concepts theoretical research innovation pipeline educational philosophy Questions to Reflect On - What abstract ideas could shape tomorrow? - How do we value long‑term research? A Different Perspective The quote may overlook delayed or indirect benefits. ★ ★ ★ ★ ★ No ratings yet [Abstract](https://sms4smile.com/quotes/about/abstract/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Real world](https://sms4smile.com/quotes/about/real-world/) [Science](https://sms4smile.com/quotes/about/science/) [World](https://sms4smile.com/quotes/about/world/) ## Related quotes > [The Theory of Groups is a branch of mathematics in which one does something to something and then compares the result with the result…](https://sms4smile.com/quotes/anonymous/the-theory-of-groups-is-a-branch-of-mathematics-in-which-one-does/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [When a branch of mathematics ceases to interest any but the specialists, it is very near its death, or at any rate dangerously close…](https://sms4smile.com/quotes/andre-weil/when-a-branch-of-mathematics-ceases-to-interest-any-but-the/) [Andre Weil](https://sms4smile.com/quotes/author/andre-weil/) > [In abstract mathematics or abstract art, the purpose is to describe inner states of our mind, and to explore the limits of our own…](https://sms4smile.com/quotes/anjan-sundaram/in-abstract-mathematics-or-abstract-art-the-purpose-is-to-describe/) [Anjan Sundaram](https://sms4smile.com/quotes/author/anjan-sundaram/) > [All phenomena are real in some sense, unreal in some sense, meaningless in some sense, real and meaningless in some sense, unreal and meaningless…](https://sms4smile.com/quotes/robert-anton-wilson/all-phenomena-are-real-in-some-sense-unreal-in-some-sense-meaningless/) [Robert Anton Wilson](https://sms4smile.com/quotes/author/robert-anton-wilson/) > [Mathematics is the abstract key which turns the lock of the physical universe.](https://sms4smile.com/quotes/john-polkinghorne/mathematics-is-the-abstract-key-which-turns-the-lock-of-the-physical/) [John Polkinghorne](https://sms4smile.com/quotes/author/john-polkinghorne/) > [“These estimates may well be enhanced by one from F. Klein (1849-1925), the leading German mathematician of the last quarter of the nineteenth century.…](https://sms4smile.com/quotes/eric-temple-bell/these-estimates-may-well-be-enhanced-by-one-from-f-klein-1849-1925/) [Eric Temple Bell](https://sms4smile.com/quotes/author/eric-temple-bell/) > [In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of…](https://sms4smile.com/quotes/ada-lovelace/in-enabling-mechanism-to-combine-together-general-symbols-in/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [At present, when the prevailing forms of society have become hindrances to the free expression of human powers, it is precisely the abstract branches…](https://sms4smile.com/quotes/max-horkheimer/at-present-when-the-prevailing-forms-of-society-have-become/) [Max Horkheimer](https://sms4smile.com/quotes/author/max-horkheimer/) > [The more horrible this world (as today, for instance), the more abstract our art, whereas a happy world brings forth an art of the…](https://sms4smile.com/quotes/paul-klee/the-more-horrible-this-world-as-today-for-instance-the-more-abstract/) [Paul Klee](https://sms4smile.com/quotes/author/paul-klee/) > [Abstract Expressionism was invented by New York drunks.](https://sms4smile.com/quotes/joni-mitchell/abstract-expressionism-was-invented-by-new-york-drunks/) [Joni Mitchell](https://sms4smile.com/quotes/author/joni-mitchell/) > [“Happy is very abstract, you can't touch it.”](https://sms4smile.com/quotes/julius-veal/happy-is-very-abstract-you-can-t-touch-it/) [Julius Veal](https://sms4smile.com/quotes/author/julius-veal/) > [A little too abstract, a little too wise, It is time for us to kiss the earth again, It is time to let the…](https://sms4smile.com/quotes/robinson-jeffers/a-little-too-abstract-a-little-too-wise-it-is-time-for-us-to-kiss-the/) [Robinson Jeffers](https://sms4smile.com/quotes/author/robinson-jeffers/) > [Where human eyes have never seen, where human beings have never been, I build a world of abstract dreams, and I wait for you.](https://sms4smile.com/quotes/sun-ra/where-human-eyes-have-never-seen-where-human-beings-have-never-been-i/) [Sun Ra](https://sms4smile.com/quotes/author/sun-ra/) > [Wisdom is the abstract of the past, but beauty is the promise of the future.](https://sms4smile.com/quotes/anonymous/wisdom-is-the-abstract-of-the-past-but-beauty-is-the-promise-of-the/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Love is like that, fragile and light. No wonder it rests upon our hearts in intangible moments, bids us follow fleeting thoughts and ideas…](https://sms4smile.com/quotes/anonymous/love-is-like-that-fragile-and-light-no-wonder-it-rests-upon-our/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) ## More by Nikolai Lobachevsky > [In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet…](https://sms4smile.com/quotes/nikolai-lobachevsky/in-geometry-i-find-certain-imperfections-which-i-hold-to-be-the/) Nikolai Lobachevsky Explore all 2 Nikolai Lobachevsky quotes ## More Abstract quotes > [Love is like that, fragile and light. No wonder it rests upon our hearts in intangible moments, bids us follow fleeting thoughts and ideas…](https://sms4smile.com/quotes/anonymous/love-is-like-that-fragile-and-light-no-wonder-it-rests-upon-our/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Wisdom is the abstract of the past, but beauty is the promise of the future.](https://sms4smile.com/quotes/anonymous/wisdom-is-the-abstract-of-the-past-but-beauty-is-the-promise-of-the/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Where human eyes have never seen, where human beings have never been, I build a world of abstract dreams, and I wait for you.](https://sms4smile.com/quotes/sun-ra/where-human-eyes-have-never-seen-where-human-beings-have-never-been-i/) [Sun Ra](https://sms4smile.com/quotes/author/sun-ra/) > [A little too abstract, a little too wise, It is time for us to kiss the earth again, It is time to let the…](https://sms4smile.com/quotes/robinson-jeffers/a-little-too-abstract-a-little-too-wise-it-is-time-for-us-to-kiss-the/) [Robinson Jeffers](https://sms4smile.com/quotes/author/robinson-jeffers/) > [“Happy is very abstract, you can't touch it.”](https://sms4smile.com/quotes/julius-veal/happy-is-very-abstract-you-can-t-touch-it/) [Julius Veal](https://sms4smile.com/quotes/author/julius-veal/) > [Abstract Expressionism was invented by New York drunks.](https://sms4smile.com/quotes/joni-mitchell/abstract-expressionism-was-invented-by-new-york-drunks/) [Joni Mitchell](https://sms4smile.com/quotes/author/joni-mitchell/) > [The more horrible this world (as today, for instance), the more abstract our art, whereas a happy world brings forth an art of the…](https://sms4smile.com/quotes/paul-klee/the-more-horrible-this-world-as-today-for-instance-the-more-abstract/) [Paul Klee](https://sms4smile.com/quotes/author/paul-klee/) > [Describing comic sensibility is near impossible. It's sort of an abstract silliness, that sometimes the joke isn't the star.](https://sms4smile.com/quotes/dana-carvey/describing-comic-sensibility-is-near-impossible-it-s-sort-of-an/) [Dana Carvey](https://sms4smile.com/quotes/author/dana-carvey/) > [For people of color - especially African Americans - the idea that racist cops might frame members of their community is no abstract notion,…](https://sms4smile.com/quotes/tim-wise/for-people-of-color-especially-african-americans-the-idea-that-racist/) [Tim Wise](https://sms4smile.com/quotes/author/tim-wise/) > [The word of the Lord never comes to us as an opinion, no attempt is made to support it by argument, it comes as…](https://sms4smile.com/quotes/anthony-w-ivins/the-word-of-the-lord-never-comes-to-us-as-an-opinion-no-attempt-is/) Anthony W. Ivins > [A mobile is an abstract sculpture made chiefly out of sheet metal, steel rods, wire and wood. Some or all of these elements move,…](https://sms4smile.com/quotes/alexander-calder/a-mobile-is-an-abstract-sculpture-made-chiefly-out-of-sheet-metal/) [Alexander Calder](https://sms4smile.com/quotes/author/alexander-calder/) > [I'm this superphilosophical kind of person. Stuck in a prison of abstract ideas and overpowering emotions, I have this personality that makes it really…](https://sms4smile.com/quotes/natsuo-kirino/i-m-this-superphilosophical-kind-of-person-stuck-in-a-prison-of/) [Natsuo Kirino](https://sms4smile.com/quotes/author/natsuo-kirino/) > [Future lawyers should be more aware that law is not a system of abstract logic, but the web of arrangements, rooted in history but…](https://sms4smile.com/quotes/felix-frankfurter/future-lawyers-should-be-more-aware-that-law-is-not-a-system-of/) [Felix Frankfurter](https://sms4smile.com/quotes/author/felix-frankfurter/) > [The trouble is that when you read criticisms about the other films that I've made you get the impression that they're all about themes,…](https://sms4smile.com/quotes/michael-haneke/the-trouble-is-that-when-you-read-criticisms-about-the-other-films/) [Michael Haneke](https://sms4smile.com/quotes/author/michael-haneke/) > [Painting is... a richer language than words... Painting operates through signs which are not abstract and incorporeal like words. The signs of painting are…](https://sms4smile.com/quotes/jean-dubuffet/painting-is-a-richer-language-than-words-painting-operates-through/) [Jean Dubuffet](https://sms4smile.com/quotes/author/jean-dubuffet/) [Browse all 1,403 Abstract quotes ](https://sms4smile.com/quotes/about/abstract/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.", "creator": { "@type": "Person", "name": "Nikolai Lobachevsky" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/nikolai-lobachevsky/there-is-no-branch-of-mathematics-however-abstract-which-may-not-some/", "about": { "@type": "Thing", "name": "Abstract" }, "@id": "https://sms4smile.com/quotes/nikolai-lobachevsky/there-is-no-branch-of-mathematics-however-abstract-which-may-not-some/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png", "contentUrl": "https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png", "url": "https://sms4smile.com/quotes/i/d88/nikolai-lobachevsky-99020_abstract_there-is-no-branch-of-mathematics-howeve_1274341.png", "width": 1080, "height": 1080, "caption": "“There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the…” — Nikolai Lobachevsky", "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": "Nikolai Lobachevsky", "item": "https://sms4smile.com/quotes/author/nikolai-lobachevsky/" }, { "@type": "ListItem", "position": 4, "name": "There is no branch of mathematics,...", "item": "https://sms4smile.com/quotes/nikolai-lobachevsky/there-is-no-branch-of-mathematics-however-abstract-which-may-not-some/" } ], "@id": "https://sms4smile.com/quotes/nikolai-lobachevsky/there-is-no-branch-of-mathematics-however-abstract-which-may-not-some/#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 } } ] } ```