--- title: "Meaning & Key Takeaway of: Euclid taught me that without assumptions…" description: "\"Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.\" — Anonymous" image: "https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg" --- # Euclid taught me that without assumptions there is no… ![“Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.” quote by Anonymous](https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg) [Download](https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg) [Open image](https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg) > “Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.” [Anonymous](https://sms4smile.com/quotes/author/anonymous/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Assumptions are the foundation of logical proof; without them, arguments lack validity. **In simple terms:** Proof needs assumptions. Key Takeaway Identify hidden premises. Themes logic critical thinking philosophy Mood analytical inquisitive Type advice philosophical When to use this quote - debates - scientific research - legal cases - personal decisions Key Concepts epistemology foundationalism Questions to Reflect On - What assumptions underlie your conclusions? - Are they justified? A Different Perspective Assumptions can be biased or unexamined. ★ ★ ★ ★ ★ No ratings yet [Argument](https://sms4smile.com/quotes/about/argument/) [Assumption](https://sms4smile.com/quotes/about/assumption/) [Assumptions Proof](https://sms4smile.com/quotes/about/assumptions-proof-1838904/) [Euclid](https://sms4smile.com/quotes/about/euclid/) [Euclid Taught](https://sms4smile.com/quotes/about/euclid-taught-1838906/) [Examine Assumptions](https://sms4smile.com/quotes/about/examine-assumptions-1838910/) [Intelligence](https://sms4smile.com/quotes/about/intelligence/) [Proof](https://sms4smile.com/quotes/about/proof/) [Proof Argument](https://sms4smile.com/quotes/about/proof-argument-1838908/) [Taught](https://sms4smile.com/quotes/about/taught/) [Taught Assumptions](https://sms4smile.com/quotes/about/taught-assumptions-1838911/) ## Related quotes > [“The author called us to re-examine assumptions bequeathed to us from Greece and Rome. Just as a bridge built by the Roman Empire might…](https://sms4smile.com/quotes/francis-august-schaeffer/the-author-called-us-to-re-examine-assumptions-bequeathed-to-us-from/) [Francis August Schaeffer](https://sms4smile.com/quotes/author/francis-august-schaeffer/) > [Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess…](https://sms4smile.com/quotes/anonymous/reductio-ad-absurdum-which-euclid-loved-so-much-is-one-of-a/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the proof of…](https://sms4smile.com/quotes/oliver-heaviside/it-is-shocking-that-young-people-should-be-addling-their-brains-over/) [Oliver Heaviside](https://sms4smile.com/quotes/author/oliver-heaviside/) > [Euclid alone has looked on Beauty bare. Let all who prate of Beauty hold their peace, And lay them prone upon the earth and…](https://sms4smile.com/quotes/edna-st-vincent-millay/euclid-alone-has-looked-on-beauty-bare-let-all-who-prate-of-beauty-2/) [Edna St. Vincent Millay](https://sms4smile.com/quotes/author/edna-st-vincent-millay/) > [ As to writing another book on geometry \[to replace Euclid\] the middle ages would have as soon thought of composing another New Testament. ](https://sms4smile.com/quotes/augustus-de-morgan/as-to-writing-another-book-on-geometry-to-replace-euclid-the-middle/) [Augustus De Morgan](https://sms4smile.com/quotes/author/augustus-de-morgan/) > [The early study of Euclid made me a hater of geometry.](https://sms4smile.com/quotes/james-joseph-sylvester/the-early-study-of-euclid-made-me-a-hater-of-geometry/) [James Joseph Sylvester](https://sms4smile.com/quotes/author/james-joseph-sylvester/) > [I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to…](https://sms4smile.com/quotes/alain-badiou/i-would-say-if-you-like-that-the-party-is-like-an-out-moded/) [Alain Badiou](https://sms4smile.com/quotes/author/alain-badiou/) > [“ Euclid 's Elements has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing with the…](https://sms4smile.com/quotes/william-kingdon-clifford/euclid-s-elements-has-been-for-nearly-twenty-two-centuries-the/) [William Kingdon Clifford](https://sms4smile.com/quotes/author/william-kingdon-clifford/) > [ \[T\]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if Lord Hawkesbury… ](https://sms4smile.com/quotes/sydney-smith/t-he-47th-proposition-in-euclid-might-now-be-voted-down-with-as-much/) [Sydney Smith](https://sms4smile.com/quotes/author/sydney-smith/) > [Euclid alone has looked on Beauty bare. Let all who prate of Beauty hold their peace, And lay them prone upon the earth and…](https://sms4smile.com/quotes/edna-st-vincent-millay/euclid-alone-has-looked-on-beauty-bare-let-all-who-prate-of-beauty/) [Edna St. Vincent Millay](https://sms4smile.com/quotes/author/edna-st-vincent-millay/) > [I have given up newspapers in exchange for Tacitus and Thucydides, for Newton and Euclid; and I find myself much the happier.](https://sms4smile.com/quotes/thomas-jefferson/i-have-given-up-newspapers-in-exchange-for-tacitus-and-thucydides-for/) [Thomas Jefferson](https://sms4smile.com/quotes/author/thomas-jefferson/) > [The science of the church is neglected for the study of geometry, and they lose sight of Heaven while they are employed in measuring…](https://sms4smile.com/quotes/edward-gibbon/the-science-of-the-church-is-neglected-for-the-study-of-geometry-and/) [Edward Gibbon](https://sms4smile.com/quotes/author/edward-gibbon/) > [“Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and deprive you…](https://sms4smile.com/quotes/farkas-bolyai/please-give-it-up-fear-it-no-less-than-the-sensual-passion-because-it/) [Farkas Bolyai](https://sms4smile.com/quotes/author/farkas-bolyai/) > [Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…](https://sms4smile.com/quotes/benoit-mandelbrot/regular-geometry-the-geometry-of-euclid-is-concerned-with-shapes/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [“When one day Lagrange took out of his pocket a paper which he read at the Académe, and which contained a demonstration of the…](https://sms4smile.com/quotes/jean-baptiste-biot/when-one-day-lagrange-took-out-of-his-pocket-a-paper-which-he-read-at/) [Jean-Baptiste Biot](https://sms4smile.com/quotes/author/jean-baptiste-biot/) ## More by Anonymous > [And a tear rolled down her cheek, as she said goodbye; because she's walking away, and she's never looking back](https://sms4smile.com/quotes/anonymous/and-a-tear-rolled-down-her-cheek-as-she-said-goodbye-because-she-s/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Life is full of change. That's how we learn and grow.](https://sms4smile.com/quotes/anonymous/life-is-full-of-change-that-s-how-we-learn-and-grow/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [You'll seldom experience regret for anything that you've done. It is what you haven't done that will torment you. The message, therefore, is clear.…](https://sms4smile.com/quotes/anonymous/you-ll-seldom-experience-regret-for-anything-that-you-ve-done-it-is/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Scrabble - The game is available in Braille. That’s a nice fact. This makes me feel better about humanity for some reason. I can’t…](https://sms4smile.com/quotes/anonymous/scrabble-the-game-is-available-in-braille-that-s-a-nice-fact-this/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Everyone needs someone to love, and I choose you.](https://sms4smile.com/quotes/anonymous/everyone-needs-someone-to-love-and-i-choose-you/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [“THIS tale of my sore-troubled life I write,    To thank the God of nature, who conveyed    My soul to me, and with such care…](https://sms4smile.com/quotes/anonymous/this-tale-of-my-sore-troubled-life-i-write-to-thank-the-god-of-nature/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Put on my J's and dance the whole night away Im naughty by nature like Im hip-hop hooray With my hands in the sky,…](https://sms4smile.com/quotes/anonymous/put-on-my-j-s-and-dance-the-whole-night-away-im-naughty-by-nature/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Me.. I have been through a lot, but I still manage to have a smile on my face. Im not worried about the past…](https://sms4smile.com/quotes/anonymous/me-i-have-been-through-a-lot-but-i-still-manage-to-have-a-smile-on-my/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Distance is a test of love. many will fail for those who can't withstand it, but for those who can, theres only one answer…](https://sms4smile.com/quotes/anonymous/distance-is-a-test-of-love-many-will-fail-for-those-who-can-t/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Im sorry I ever tried...](https://sms4smile.com/quotes/anonymous/im-sorry-i-ever-tried/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Being betrayed by the one you love is the worst feeling in the world...](https://sms4smile.com/quotes/anonymous/being-betrayed-by-the-one-you-love-is-the-worst-feeling-in-the-world/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Let children support their parents or be imprisoned.](https://sms4smile.com/quotes/anonymous/let-children-support-their-parents-or-be-imprisoned/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [The only person I've ever purposely caused pain here is myself...By simply sharing, caring too much.](https://sms4smile.com/quotes/anonymous/the-only-person-i-ve-ever-purposely-caused-pain-here-is-myself-by/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [“Start a business, not a startup”](https://sms4smile.com/quotes/anonymous/start-a-business-not-a-startup/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [The truth is, of course, that the curtness of the Ten Commandments is an evidence, not of the gloom and narrowness of a religion,…](https://sms4smile.com/quotes/anonymous/the-truth-is-of-course-that-the-curtness-of-the-ten-commandments-is/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) [Explore all 162,899 Anonymous quotes ](https://sms4smile.com/quotes/author/anonymous/) ## More Argument quotes > [A flourishing, morally credible media is a vital component in the maintenance of genuinely public talk, argument about common good.](https://sms4smile.com/quotes/rowan-williams/a-flourishing-morally-credible-media-is-a-vital-component-in-the/) [Rowan Williams](https://sms4smile.com/quotes/author/rowan-williams/) > [Preaching to the choir actually arms the choir with arguments and elevates the choir's discourse. There's a reason the right does it and does…](https://sms4smile.com/quotes/dan-savage/preaching-to-the-choir-actually-arms-the-choir-with-arguments-and/) [Dan Savage](https://sms4smile.com/quotes/author/dan-savage/) > [Lutherans, whose arguments and mistakes will not be difficult to contest or discover, do not want to attribute any value to works, and they…](https://sms4smile.com/quotes/michael-servetus/lutherans-whose-arguments-and-mistakes-will-not-be-difficult-to/) [Michael Servetus](https://sms4smile.com/quotes/author/michael-servetus/) > [Any comprehensive doctrine, religious or secular, can be introduced into any political argument at any time, but I argue that people who do this…](https://sms4smile.com/quotes/john-rawls/any-comprehensive-doctrine-religious-or-secular-can-be-introduced/) [John Rawls](https://sms4smile.com/quotes/author/john-rawls/) > [As opposed to getting into arguments about, well, these folks have been treated fairly so now we're going to be doing things that, very…](https://sms4smile.com/quotes/barack-obama/as-opposed-to-getting-into-arguments-about-well-these-folks-have-been/) [Barack Obama](https://sms4smile.com/quotes/author/barack-obama/) > [There could be no more powerful argument against mixing religion and government than the success of independent African American churches in placing racial segregation…](https://sms4smile.com/quotes/susan-jacoby/there-could-be-no-more-powerful-argument-against-mixing-religion-and/) [Susan Jacoby](https://sms4smile.com/quotes/author/susan-jacoby/) > [The inner defenses are unconscious. They consist of a kind of magic aura which the mind builds around cherished belief. Arguments which penetrate into…](https://sms4smile.com/quotes/arthur-koestler/the-inner-defenses-are-unconscious-they-consist-of-a-kind-of-magic/) [Arthur Koestler](https://sms4smile.com/quotes/author/arthur-koestler/) > [On the stage, the characters express themselves more through words than images. So the arguments of the characters and the tension between characters -…](https://sms4smile.com/quotes/alan-alda/on-the-stage-the-characters-express-themselves-more-through-words/) [Alan Alda](https://sms4smile.com/quotes/author/alan-alda/) > [One argument goes that recessions are good for female artists because when money flies out the window, women are allowed in the house. The…](https://sms4smile.com/quotes/jerry-saltz/one-argument-goes-that-recessions-are-good-for-female-artists-because/) [Jerry Saltz](https://sms4smile.com/quotes/author/jerry-saltz/) > [All of the barriers to innovation in the energy sector are arguments for a big commitment to public investment. Only the public sector can…](https://sms4smile.com/quotes/ted-nordhaus/all-of-the-barriers-to-innovation-in-the-energy-sector-are-arguments/) [Ted Nordhaus](https://sms4smile.com/quotes/author/ted-nordhaus/) > [“Arguments led by subjectivity are a waste of time. And, if they take place online, add to that, a waste of one’s keyboard.”](https://sms4smile.com/quotes/mokokoma-mokhonoana/arguments-led-by-subjectivity-are-a-waste-of-time-and-if-they-take/) [Mokokoma Mokhonoana](https://sms4smile.com/quotes/author/mokokoma-mokhonoana/) > [If in the middle of an argument I suddenly fall silent it does not mean you have won... No it means you should probably…](https://sms4smile.com/quotes/hussein-nishah/if-in-the-middle-of-an-argument-i-suddenly-fall-silent-it-does-not/) [Hussein Nishah](https://sms4smile.com/quotes/author/hussein-nishah/) > [Don't get divorced after your first argument! I have a lot of friends that have one fight and that's it, they get divorced. I…](https://sms4smile.com/quotes/kelly-ripa/don-t-get-divorced-after-your-first-argument-i-have-a-lot-of-friends/) [Kelly Ripa](https://sms4smile.com/quotes/author/kelly-ripa/) > [“The motive behind my arguments have always been to come at truth. I am not interested in conquering anyone with my ideologies or seeking…](https://sms4smile.com/quotes/crystal-evans/the-motive-behind-my-arguments-have-always-been-to-come-at-truth-i-am/) [Crystal Evans](https://sms4smile.com/quotes/author/crystal-evans/) > [In presenting a mathematical argument the great thing is to give the educated reader the chance to catch on at once to the momentary…](https://sms4smile.com/quotes/john-edensor-littlewood/in-presenting-a-mathematical-argument-the-great-thing-is-to-give-the/) [John Edensor Littlewood](https://sms4smile.com/quotes/author/john-edensor-littlewood/) [Browse all 3,479 Argument quotes ](https://sms4smile.com/quotes/about/argument/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.", "creator": { "@type": "Person", "name": "Anonymous" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/anonymous/euclid-taught-me-that-without-assumptions-there-is-no-proof-therefore/", "about": { "@type": "Thing", "name": "Argument" }, "@id": "https://sms4smile.com/quotes/anonymous/euclid-taught-me-that-without-assumptions-there-is-no-proof-therefore/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg", "contentUrl": "https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg", "url": "https://sms4smile.com/quotes/i/c3a/anonymous-1_argument_euclid-taught-me-that-without-assumption_967942.jpg", "width": 1080, "height": 1080, "caption": "“Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the…” — Anonymous", "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": "Anonymous", "item": "https://sms4smile.com/quotes/author/anonymous/" }, { "@type": "ListItem", "position": 4, "name": "Euclid taught me that without assumptions...", "item": "https://sms4smile.com/quotes/anonymous/euclid-taught-me-that-without-assumptions-there-is-no-proof-therefore/" } ], "@id": "https://sms4smile.com/quotes/anonymous/euclid-taught-me-that-without-assumptions-there-is-no-proof-therefore/#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 } } ] } ```