--- title: "Meaning & Key Takeaway of: Mathematics in general is fundamentally…" description: "\"Mathematics in general is fundamentally the science of self-evident things.\" — Felix Klein" image: "https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png" --- # Mathematics in general is fundamentally the science of… ![“Mathematics in general is fundamentally the science of self-evident things.” quote by Felix Klein](https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png) [Download](https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png) [Open image](https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png) > “Mathematics in general is fundamentally the science of self-evident things.” [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematics is presented as a discipline built on self‑evident truths, emphasizing its foundational certainty. **In simple terms:** Math is the science of obvious truths. Key Takeaway Appreciate the logical certainty of math. Themes philosophy mathematics foundations Mood analytical reflective Type academic philosophical When to use this quote - education - research - problem solving Key Concepts logic axioms proofs Questions to Reflect On - How does this view affect teaching? - Can all truths be self‑evident? A Different Perspective Mathematical truths can be abstract for everyday life. ★ ★ ★ ★ ★ No ratings yet [Evident](https://sms4smile.com/quotes/about/evident/) [Fundamentally](https://sms4smile.com/quotes/about/fundamentally/) [Fundamentally Science](https://sms4smile.com/quotes/about/fundamentally-science-4483579/) [General Fundamentally](https://sms4smile.com/quotes/about/general-fundamentally-4483581/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Mathematics General](https://sms4smile.com/quotes/about/mathematics-general-4483580/) [Science](https://sms4smile.com/quotes/about/science/) [Science Self](https://sms4smile.com/quotes/about/science-self-254789/) [Self](https://sms4smile.com/quotes/about/self/) ## Related quotes > [Mathematicians have never been in full agreement on their science, though it is said to be the science of self-evident verities -- absolute, indisputable…](https://sms4smile.com/quotes/henri-lebesgue/mathematicians-have-never-been-in-full-agreement-on-their-science/) [Henri Lebesgue](https://sms4smile.com/quotes/author/henri-lebesgue/) > [Science is the only self-correcting human institution, but it also is a process that progresses only by showing itself to be wrong.](https://sms4smile.com/quotes/allan-sandage/science-is-the-only-self-correcting-human-institution-but-it-also-is/) [Allan Sandage](https://sms4smile.com/quotes/author/allan-sandage/) > [Scientists are human-they're as biased as any other group. But they do have one great advantage in that science is a self-correcting process.](https://sms4smile.com/quotes/cyril-ponnamperuma/scientists-are-human-they-re-as-biased-as-any-other-group-but-they-do/) [Cyril Ponnamperuma](https://sms4smile.com/quotes/author/cyril-ponnamperuma/) > [It would not become physical science to see in its self created, changeable, economical tools, molecules and atoms, realities behind phenomena... The atom must…](https://sms4smile.com/quotes/ernst-mach/it-would-not-become-physical-science-to-see-in-its-self-created/) [Ernst Mach](https://sms4smile.com/quotes/author/ernst-mach/) > [Science is a self-correcting discipline that can, in subsequent generations, show that previous ideas were not correct.](https://sms4smile.com/quotes/brian-greene/science-is-a-self-correcting-discipline-that-can-in-subsequent/) [Brian Greene](https://sms4smile.com/quotes/author/brian-greene/) > [In science, self-satisfaction is death. 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Some may consider this an…](https://sms4smile.com/quotes/carl-sagan/one-of-the-reasons-for-its-success-is-that-science-has-a-built-in/) [Carl Sagan](https://sms4smile.com/quotes/author/carl-sagan/) > [“There are many hypotheses in science that are wrong. That's perfectly alright; it's the aperture to finding out what's right. Science is a self-correcting…](https://sms4smile.com/quotes/carl-sagan/there-are-many-hypotheses-in-science-that-are-wrong-that-s-perfectly/) [Carl Sagan](https://sms4smile.com/quotes/author/carl-sagan/) > [Science is a self-sufficient activity.](https://sms4smile.com/quotes/jonathan-miller/science-is-a-self-sufficient-activity/) [Jonathan Miller](https://sms4smile.com/quotes/author/jonathan-miller/) > [The role of the church and the government are fundamentally different. The church must always show compassion - always.](https://sms4smile.com/quotes/rick-warren/the-role-of-the-church-and-the-government-are-fundamentally-different/) [Rick Warren](https://sms4smile.com/quotes/author/rick-warren/) > [Don't underestimate the power of your vision to change the world. Whether that world is your office, your community, an industry or a global…](https://sms4smile.com/quotes/leroy-hood/don-t-underestimate-the-power-of-your-vision-to-change-the-world/) [Leroy Hood](https://sms4smile.com/quotes/author/leroy-hood/) ## More by Felix Klein > [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/) > [It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.](https://sms4smile.com/quotes/felix-klein/it-is-well-known-that-the-central-problem-of-the-whole-of-modern/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity…](https://sms4smile.com/quotes/felix-klein/the-developing-science-departs-at-the-same-time-more-and-more-from/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal…](https://sms4smile.com/quotes/felix-klein/the-teacher-manages-to-get-along-still-with-the-cumbersome-algebraic/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.](https://sms4smile.com/quotes/felix-klein/everyone-knows-what-a-curve-is-until-he-has-studied-enough/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.](https://sms4smile.com/quotes/felix-klein/thus-in-a-sense-mathematics-has-been-most-advanced-by-those-who/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [The presentation of mathematics in schools should be psychological and not systematic. 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Berry Brazelton](https://sms4smile.com/quotes/author/t-berry-brazelton/) > [Class - or the economic status of individuals - is evident in all societies, some very well stratified by a rigid caste system determined…](https://sms4smile.com/quotes/f-sionil-jos/class-or-the-economic-status-of-individuals-is-evident-in-all/) [F. Sionil Jose](https://sms4smile.com/quotes/author/f-sionil-jos/) > [The effect of the discovery of printing was evident in the savage religious wars of the sixteenth and seventeenth centuries. Application of power to…](https://sms4smile.com/quotes/harold-innis/the-effect-of-the-discovery-of-printing-was-evident-in-the-savage/) [Harold Innis](https://sms4smile.com/quotes/author/harold-innis/) > [Popular thought appeals to crowds, gatherings and tribes, who use it as a way to guide the herd. It is very evident in protests…](https://sms4smile.com/quotes/corey-taylor/popular-thought-appeals-to-crowds-gatherings-and-tribes-who-use-it-as/) [Corey Taylor](https://sms4smile.com/quotes/author/corey-taylor/) > [A focus on people's health and well-being must be the core of family planning research and policy. This may seem self-evident, but the realities…](https://sms4smile.com/quotes/ruth-simmons/a-focus-on-people-s-health-and-well-being-must-be-the-core-of-family/) [Ruth Simmons](https://sms4smile.com/quotes/author/ruth-simmons/) > [ Quentin \[Taranino\] will say, "We've got it, but we're gonna do it one more time. Why?" And then, the entire cast and crew chimes… ](https://sms4smile.com/quotes/walton-goggins/quentin-taranino-will-say-we-ve-got-it-but-we-re-gonna-do-it-one-more/) [Walton Goggins](https://sms4smile.com/quotes/author/walton-goggins/) > [It is evident, indeed, that such a doctrine, taken by itself in a literal manner, had no future. The world, in continuing to exist,…](https://sms4smile.com/quotes/ernest-renan/it-is-evident-indeed-that-such-a-doctrine-taken-by-itself-in-a/) [Ernest Renan](https://sms4smile.com/quotes/author/ernest-renan/) > ['The Sound of Things Falling' may be a page turner, but it's also a deep meditation on fate and death. Even in translation, the…](https://sms4smile.com/quotes/edmund-white/the-sound-of-things-falling-may-be-a-page-turner-but-it-s-also-a-deep/) [Edmund White](https://sms4smile.com/quotes/author/edmund-white/) > [ It is self-evident that any and all paths must be open to a researcher during the actual course of his \[or her\] investigations. ](https://sms4smile.com/quotes/karl-weierstrass/it-is-self-evident-that-any-and-all-paths-must-be-open-to-a/) [Karl Weierstrass](https://sms4smile.com/quotes/author/karl-weierstrass/) > [it is clearly evident that our path travels through a valley of teas well known to all farm workers, because in all valleys the…](https://sms4smile.com/quotes/cesar-chavez/it-is-clearly-evident-that-our-path-travels-through-a-valley-of-teas/) [Cesar Chavez](https://sms4smile.com/quotes/author/cesar-chavez/) > [The genuinely significant creation, whether an idea, or a work of art, or a scientific discovery, is most likely to be seen at first…](https://sms4smile.com/quotes/carl-rogers/the-genuinely-significant-creation-whether-an-idea-or-a-work-of-art/) [Carl Rogers](https://sms4smile.com/quotes/author/carl-rogers/) [Browse all 545 Evident quotes ](https://sms4smile.com/quotes/about/evident/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Mathematics in general is fundamentally the science of self-evident things.", "creator": { "@type": "Person", "name": "Felix Klein" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/felix-klein/mathematics-in-general-is-fundamentally-the-science-of-self-evident/", "about": { "@type": "Thing", "name": "Evident" }, "@id": "https://sms4smile.com/quotes/felix-klein/mathematics-in-general-is-fundamentally-the-science-of-self-evident/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png", "contentUrl": "https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png", "url": "https://sms4smile.com/quotes/i/93a/felix-klein-38045_evident_mathematics-in-general-is-fundamentally_534522.png", "width": 1080, "height": 1080, "caption": "“Mathematics in general is fundamentally the science of self-evident things.” — Felix Klein", "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": "Felix Klein", "item": "https://sms4smile.com/quotes/author/felix-klein/" }, { "@type": "ListItem", "position": 4, "name": "Mathematics in general is fundamentally the...", "item": "https://sms4smile.com/quotes/felix-klein/mathematics-in-general-is-fundamentally-the-science-of-self-evident/" } ], "@id": "https://sms4smile.com/quotes/felix-klein/mathematics-in-general-is-fundamentally-the-science-of-self-evident/#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 } } ] } ```