--- title: "3 Axioms Quotes By David Hilbert" description: "3 Axioms quotes by David Hilbert. Plus more from David Hilbert and more Axioms sayings from other authors." image: "https://sms4smile.com/quotes/i/a7c/david-hilbert-12585_arithmetic_geometry-like-arithmetic-requires-for-it_110374.jpg" --- > [Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the…](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/) [Image](https://sms4smile.com/quotes/i/a7c/david-hilbert-12585_arithmetic_geometry-like-arithmetic-requires-for-it_110374.jpg) > [I do not want to presuppose anything as known. I see in my explanation in section 1 the definition of the concepts…](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/) [Image](https://sms4smile.com/quotes/i/c8b/david-hilbert-12585_add_i-do-not-want-to-presuppose-anything-as_519017.jpg) > [Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special…](https://sms4smile.com/quotes/david-hilbert/mathematics-is-a-presuppositionless-science-to-found-it-i-do-not-need/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) [Image](https://sms4smile.com/quotes/i/399/david-hilbert-12585_assumption_mathematics-is-a-presuppositionless-scie_2513562.jpg) ## Other authors on Axioms - [Mokokoma Mokhonoana 76 quotes](https://sms4smile.com/quotes/about/axioms/mokokoma-mokhonoana/) ## 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. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a…](https://sms4smile.com/quotes/david-hilbert/galileo-was-no-idiot-only-an-idiot-could-believe-that-science/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?](https://sms4smile.com/quotes/david-hilbert/if-i-were-to-awaken-after-having-slept-for-a-thousand-years-my-first/) [David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/) > [Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. 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/) > [One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs](https://sms4smile.com/quotes/david-hilbert/one-must-be-able-to-say-at-all-times-instead-of-points-straight-lines/) [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/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "ItemList", "@id": "https://sms4smile.com/quotes/about/axioms/david-hilbert/#itemlist", "name": "3 Axioms Quotes By David Hilbert", "numberOfItems": 3, "itemListElement": [ { "@type": "ListItem", "position": 1, "item": { "@type": "Quotation", "text": "Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. 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