--- title: "Meaning & Key Takeaway of: One must be able to say at all…" description: "\"One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs\" — David Hilbert" image: "https://sms4smile.com/quotes/i/e44/david-hilbert-12585_able_one-must-be-able-to-say-at-all-times-ins_471759.jpg" --- # One must be able to say at all times--instead of points… ![“One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs” quote by David Hilbert](https://sms4smile.com/quotes/i/e44/david-hilbert-12585_able_one-must-be-able-to-say-at-all-times-ins_471759.jpg) [Download](https://sms4smile.com/quotes/i/e44/david-hilbert-12585_able_one-must-be-able-to-say-at-all-times-ins_471759.jpg) [Open image](https://sms4smile.com/quotes/i/e44/david-hilbert-12585_able_one-must-be-able-to-say-at-all-times-ins_471759.jpg) > “One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs” [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The quote suggests that practical objects and everyday life are as fundamental to mathematics as abstract points, lines, and planes. **In simple terms:** Everyday things matter in math too. Key Takeaway Value concrete examples in abstract thinking. Themes mathematics philosophy education abstraction practicality Mood inspirational thoughtful Type educational philosophical When to use this quote - classroom teaching - engineering design - architectural planning - product development Key Concepts formalism applied mathematics conceptual grounding Questions to Reflect On - How do tangible examples aid understanding? - When should abstraction dominate over practicality? A Different Perspective Focusing on concrete objects may limit exploration of pure theory. ★ ★ ★ ★ ★ No ratings yet [Able](https://sms4smile.com/quotes/about/able/) [Able Say](https://sms4smile.com/quotes/about/able-say-401705/) [All time](https://sms4smile.com/quotes/about/all-time/) [Beer](https://sms4smile.com/quotes/about/beer/) [Chairs](https://sms4smile.com/quotes/about/chairs/) [Chairs Beer](https://sms4smile.com/quotes/about/chairs-beer-4076364/) [Language](https://sms4smile.com/quotes/about/language/) [Lines](https://sms4smile.com/quotes/about/lines/) [Mug](https://sms4smile.com/quotes/about/mug/) [Planes](https://sms4smile.com/quotes/about/planes/) [Planes Tables](https://sms4smile.com/quotes/about/planes-tables-4076363/) [Points Straight](https://sms4smile.com/quotes/about/points-straight-451960/) [Straight line](https://sms4smile.com/quotes/about/straight-line/) [Straight lines](https://sms4smile.com/quotes/about/straight-lines/) [Tables](https://sms4smile.com/quotes/about/tables/) [Time](https://sms4smile.com/quotes/about/time/) ## Related quotes > [The shortest distance between two points is a straight line.](https://sms4smile.com/quotes/anonymous/the-shortest-distance-between-two-points-is-a-straight-line/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [In philosophy, as in politics, the longest distance between two points is a straight line.](https://sms4smile.com/quotes/will-durant/in-philosophy-as-in-politics-the-longest-distance-between-two-points/) [Will Durant](https://sms4smile.com/quotes/author/will-durant/) > [I do not want to presuppose anything as known. 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Parker](https://sms4smile.com/quotes/author/k-j-parker/) ## More by David Hilbert > [ \[On Cantor's work:\] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity. ](https://sms4smile.com/quotes/david-hilbert/on-cantor-s-work-the-finest-product-of-mathematical-genius-and-one-of/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Geometry is the most complete science.](https://sms4smile.com/quotes/david-hilbert/geometry-is-the-most-complete-science/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next…](https://sms4smile.com/quotes/david-hilbert/who-of-us-would-not-be-glad-to-lift-the-veil-behind-which-the-future/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler…](https://sms4smile.com/quotes/david-hilbert/how-thoroughly-it-is-ingrained-in-mathematical-science-that-every/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Galileo was no idiot. 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These fundamental principles are called the axioms of…](https://sms4smile.com/quotes/david-hilbert/geometry-like-arithmetic-requires-for-its-logical-development-only-a/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first…](https://sms4smile.com/quotes/david-hilbert/a-mathematical-theory-is-not-to-be-considered-complete-until-you-have/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by numerous examples…](https://sms4smile.com/quotes/david-hilbert/besides-it-is-an-error-to-believe-that-rigour-is-the-enemy-of/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible…](https://sms4smile.com/quotes/david-hilbert/is-mathematics-doomed-to-suffer-the-same-fate-as-other-sciences-that/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.](https://sms4smile.com/quotes/david-hilbert/i-have-tried-to-avoid-long-numerical-computations-thereby-following/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts point, straight…](https://sms4smile.com/quotes/david-hilbert/i-do-not-want-to-presuppose-anything-as-known-i-see-in-my-explanation/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other…](https://sms4smile.com/quotes/david-hilbert/no-other-question-has-ever-moved-so-profoundly-the-spirit-of-man-no/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated…](https://sms4smile.com/quotes/david-hilbert/the-further-a-mathematical-theory-is-developed-the-more-harmoniously/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.](https://sms4smile.com/quotes/david-hilbert/i-didn-t-work-especially-hard-at-mathematics-at-school-because-i-knew/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) [Explore all 53 David Hilbert quotes ](https://sms4smile.com/quotes/author/david-hilbert/) ## More Able quotes > [I am certain that children always know more than they are able to tell, and that makes the big difference between them and adults,…](https://sms4smile.com/quotes/jacques-lusseyran/i-am-certain-that-children-always-know-more-than-they-are-able-to/) [Jacques Lusseyran](https://sms4smile.com/quotes/author/jacques-lusseyran/) > [I have observed this in my experience of slavery, - that whenever my condition was improved, instead of its increasing my contentment, it only…](https://sms4smile.com/quotes/frederick-douglass/i-have-observed-this-in-my-experience-of-slavery-that-whenever-my/) [Frederick Douglass](https://sms4smile.com/quotes/author/frederick-douglass/) > [There is something about the South that accepts the supernatural. 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