--- title: "Meaning & Key Takeaway of: Some mathematicians didn't even perceive…" description: "\"Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by ..." image: "https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg" --- # Some mathematicians didn't even perceive of the… ![“Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.” quote by Benoit Mandelbrot](https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg) [Download](https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg) [Open image](https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg) > “Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.” [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Visual representations can dramatically improve machine learning performance, even when initially dismissed. **In simple terms:** Pictures help machines learn better. Key Takeaway Use visual data to enhance models. Themes learning visualization machine intelligence Mood curious analytical Type educational inspirational When to use this quote - image classification - pattern recognition - scientific research - educational tools Key Concepts fractal geometry data representation model improvement Questions to Reflect On - How can visuals be integrated without bias? - When do pictures mislead? A Different Perspective Visual intuition may not replace rigorous analysis. ★ ★ ★ ★ ★ No ratings yet [Bits](https://sms4smile.com/quotes/about/bits/) [Computers](https://sms4smile.com/quotes/about/computers/) [Contrary](https://sms4smile.com/quotes/about/contrary/) [Helpful](https://sms4smile.com/quotes/about/helpful/) [Little bit](https://sms4smile.com/quotes/about/little-bit/) [Littles](https://sms4smile.com/quotes/about/littles/) [Looking Pictures](https://sms4smile.com/quotes/about/looking-pictures-541674/) [Machines](https://sms4smile.com/quotes/about/machines/) [Machines Little](https://sms4smile.com/quotes/about/machines-little-5435631/) [Mathematician](https://sms4smile.com/quotes/about/mathematician/) [Mathematicians](https://sms4smile.com/quotes/about/mathematicians/) [Mathematicians Didn](https://sms4smile.com/quotes/about/mathematicians-didn-2321542/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Perceive](https://sms4smile.com/quotes/about/perceive/) [Pictures Hundreds](https://sms4smile.com/quotes/about/pictures-hundreds-5435630/) [Possibility](https://sms4smile.com/quotes/about/possibility/) ## Related quotes > [Mathematicians didn't invent infinity until 1877. So they thought it was impossible that Africans could be using fractal geometry.](https://sms4smile.com/quotes/ron-eglash/mathematicians-didn-t-invent-infinity-until-1877-so-they-thought-it/) [Ron Eglash](https://sms4smile.com/quotes/author/ron-eglash/) > [Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find…](https://sms4smile.com/quotes/benoit-mandelbrot/everybody-in-mathematics-had-given-up-for-100-years-or-200-years-the/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at…](https://sms4smile.com/quotes/michael-atiyah/in-the-broad-light-of-day-mathematicians-check-their-equations-and/) [Michael Atiyah](https://sms4smile.com/quotes/author/michael-atiyah/) > [The way in which mathematicians and physicists and historians talk is quite different, and what a physicist means by physical intuition and what a…](https://sms4smile.com/quotes/clifford-geertz/the-way-in-which-mathematicians-and-physicists-and-historians-talk-is/) [Clifford Geertz](https://sms4smile.com/quotes/author/clifford-geertz/) > [Oh these mathematicians make me tired! When you ask them to work out a sum they take a piece of paper, cover it with…](https://sms4smile.com/quotes/thomas-a-edison/oh-these-mathematicians-make-me-tired-when-you-ask-them-to-work-out-a/) [Thomas A. Edison](https://sms4smile.com/quotes/author/thomas-a-edison/) > [Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have always looked…](https://sms4smile.com/quotes/gian-carlo-rota/philosophers-and-psychiatrists-should-explain-why-it-is-that-we/) [Gian-Carlo Rota](https://sms4smile.com/quotes/author/gian-carlo-rota/) > [Mathematicians seem to have no difficulty in creating new concepts faster than the old ones become well understood.](https://sms4smile.com/quotes/edward-norton-lorenz/mathematicians-seem-to-have-no-difficulty-in-creating-new-concepts/) [Edward Norton Lorenz](https://sms4smile.com/quotes/author/edward-norton-lorenz/) > [I never got a pass mark in math... Just imagine - mathematicians now use my prints to illustrate their books. Funny me consorting with…](https://sms4smile.com/quotes/m-c-escher/i-never-got-a-pass-mark-in-math-just-imagine-mathematicians-now-use/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [If there should chance to be any mathematicians who, ignorant in mathematics yet pretending to skill in that science, should dare, upon the authority…](https://sms4smile.com/quotes/nicolaus-copernicus/if-there-should-chance-to-be-any-mathematicians-who-ignorant-in/) [Nicolaus Copernicus](https://sms4smile.com/quotes/author/nicolaus-copernicus/) > [It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something,…](https://sms4smile.com/quotes/g-h-hardy/it-is-a-melancholy-experience-for-a-professional-mathematician-to/) [G. H. Hardy](https://sms4smile.com/quotes/author/g-h-hardy/) > [Mathematicians, like cows in the dark, all look alike to me.](https://sms4smile.com/quotes/abraham-flexner/mathematicians-like-cows-in-the-dark-all-look-alike-to-me/) [Abraham Flexner](https://sms4smile.com/quotes/author/abraham-flexner/) > [In my experience most mathematicians are intellectually lazy and especially dislike reading experimental papers. He seemed to have very strong biological intuitions but unfortunately…](https://sms4smile.com/quotes/francis-crick/in-my-experience-most-mathematicians-are-intellectually-lazy-and/) [Francis Crick](https://sms4smile.com/quotes/author/francis-crick/) > [Some humans are mathematicians-others aren't.](https://sms4smile.com/quotes/jane-goodall/some-humans-are-mathematicians-others-aren-t/) [Jane Goodall](https://sms4smile.com/quotes/author/jane-goodall/) > [As for mathematicians themselves: don't expect too much help. Most of them are too far removed in their ivory towers to take up such…](https://sms4smile.com/quotes/apostolos-doxiadis/as-for-mathematicians-themselves-don-t-expect-too-much-help-most-of/) [Apostolos Doxiadis](https://sms4smile.com/quotes/author/apostolos-doxiadis/) > [If enough money is involved and enough people believe that two plus two equals five the media will report the story with a straight…](https://sms4smile.com/quotes/susan-jacoby/if-enough-money-is-involved-and-enough-people-believe-that-two-plus/) [Susan Jacoby](https://sms4smile.com/quotes/author/susan-jacoby/) ## More by Benoit Mandelbrot > [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/) > [It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made…](https://sms4smile.com/quotes/benoit-mandelbrot/it-was-astonishing-when-at-one-point-i-got-the-idea-of-how-to-make/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.](https://sms4smile.com/quotes/benoit-mandelbrot/pictures-were-completely-eliminated-from-mathematics-in-particular/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of…](https://sms4smile.com/quotes/benoit-mandelbrot/in-mathematics-and-science-definition-are-simple-but-bare-bones-until/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining…](https://sms4smile.com/quotes/benoit-mandelbrot/one-of-the-high-points-of-my-life-was-when-i-suddenly-realized-that/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and…](https://sms4smile.com/quotes/benoit-mandelbrot/my-life-has-been-extremely-complicated-not-by-choice-at-the-beginning/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may…](https://sms4smile.com/quotes/benoit-mandelbrot/the-extraordinary-fact-is-that-the-first-idea-i-had-which-motivated/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Most economists, when modeling market behavior, tend to sweep major fluctuations under the rug and assume they are anomalies. What I have found is…](https://sms4smile.com/quotes/benoit-mandelbrot/most-economists-when-modeling-market-behavior-tend-to-sweep-major/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [I don't seek power and do not run around](https://sms4smile.com/quotes/benoit-mandelbrot/i-don-t-seek-power-and-do-not-run-around/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the…](https://sms4smile.com/quotes/benoit-mandelbrot/i-conceived-and-developed-a-new-geometry-of-nature-and-implemented/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by,…](https://sms4smile.com/quotes/benoit-mandelbrot/if-you-look-at-a-shape-like-a-straight-line-what-s-remarkable-is-that/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [When I first began studying prices, it wasn't a topic that mathematicians were working on. Purely by accident, I saw a set of data…](https://sms4smile.com/quotes/benoit-mandelbrot/when-i-first-began-studying-prices-it-wasn-t-a-topic-that/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.](https://sms4smile.com/quotes/benoit-mandelbrot/the-rare-scholars-who-are-nomads-by-choice-are-essential-to-the/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of…](https://sms4smile.com/quotes/benoit-mandelbrot/science-would-be-ruined-if-like-sports-it-were-to-put-competition/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) > [Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial…](https://sms4smile.com/quotes/benoit-mandelbrot/many-painters-had-a-clear-idea-of-what-fractals-are-take-a-french/) [Benoit Mandelbrot](https://sms4smile.com/quotes/author/benoit-mandelbrot/) [Explore all 88 Benoit Mandelbrot quotes ](https://sms4smile.com/quotes/author/benoit-mandelbrot/) ## More Bits quotes > [ Brad \[Dourif\] would tell himself that he was not intentionally trying to mimic Jack Nicholson in any way. I think that actually bothers him… ](https://sms4smile.com/quotes/david-kirschner/brad-dourif-would-tell-himself-that-he-was-not-intentionally-trying/) [David Kirschner](https://sms4smile.com/quotes/author/david-kirschner/) > [There is only one party in the United States, the Property Party...and it has two right wings: Republican and Democrat. Republicans are a bit…](https://sms4smile.com/quotes/gore-vidal/there-is-only-one-party-in-the-united-states-the-property-party-and/) [Gore Vidal](https://sms4smile.com/quotes/author/gore-vidal/) > [I became a bit of a teacher's pet, and it became known in the school by both faculty and students that I really excelled…](https://sms4smile.com/quotes/paul-smith/i-became-a-bit-of-a-teacher-s-pet-and-it-became-known-in-the-school/) [Paul Smith](https://sms4smile.com/quotes/author/paul-smith/) > [The happy medium is television. And if you find a good suitor, you can do it for years. With movies, you roll the dice.…](https://sms4smile.com/quotes/bruce-campbell/the-happy-medium-is-television-and-if-you-find-a-good-suitor-you-can/) [Bruce Campbell](https://sms4smile.com/quotes/author/bruce-campbell/) > [If I had my brothers I think with just a little bit of the correct marketing, I'd like to be almost exclusively in small…](https://sms4smile.com/quotes/terry-bozzio/if-i-had-my-brothers-i-think-with-just-a-little-bit-of-the-correct/) [Terry Bozzio](https://sms4smile.com/quotes/author/terry-bozzio/) > [Talented people can predict with great accuracy what's about to happen just a tiny bit ahead of their competitors. It might be two seconds…](https://sms4smile.com/quotes/kevin-maney/talented-people-can-predict-with-great-accuracy-what-s-about-to/) [Kevin Maney](https://sms4smile.com/quotes/author/kevin-maney/) > [He referred to me as an 'insufferable puffed-up prat'. This is a bit rich coming from a man who actually married his own mother.](https://sms4smile.com/quotes/steven-morrissey/he-referred-to-me-as-an-insufferable-puffed-up-prat-this-is-a-bit/) [Steven Morrissey](https://sms4smile.com/quotes/author/steven-morrissey/) > [It won't do you a bit of good to know everything if you don't do anything with it.](https://sms4smile.com/quotes/louise-fitzhugh/it-won-t-do-you-a-bit-of-good-to-know-everything-if-you-don-t-do/) [Louise Fitzhugh](https://sms4smile.com/quotes/author/louise-fitzhugh/) > [I was told I had brain damage. I always knew it was an unfair label. Now I have a clearer understanding of what's wrong…](https://sms4smile.com/quotes/susan-boyle/i-was-told-i-had-brain-damage-i-always-knew-it-was-an-unfair-label/) [Susan Boyle](https://sms4smile.com/quotes/author/susan-boyle/) > [I think that's the beauty of the current setup, is that Legends is meant to be a bit of a revolving door.](https://sms4smile.com/quotes/wentworth-miller/i-think-that-s-the-beauty-of-the-current-setup-is-that-legends-is/) [Wentworth Miller](https://sms4smile.com/quotes/author/wentworth-miller/) > [We, as pop stars, are people not androids. We’ve got views. I’ve got opinions and I don’t see why I shouldn’t use a bit…](https://sms4smile.com/quotes/roger-meddows-taylor/we-as-pop-stars-are-people-not-androids-we-ve-got-views-i-ve-got/) [Roger Meddows Taylor](https://sms4smile.com/quotes/author/roger-meddows-taylor/) > [In terms of style, too, I think I've been working with a somewhat limited -- although intentionally limited -- set of tools. So I'm…](https://sms4smile.com/quotes/kelly-link/in-terms-of-style-too-i-think-i-ve-been-working-with-a-somewhat/) [Kelly Link](https://sms4smile.com/quotes/author/kelly-link/) > [ Donald Trump has opened \[ politically correct enforcement\] up wide. He's made a very bold statement and he's backed it back just a little… ](https://sms4smile.com/quotes/ted-cruz/donald-trump-has-opened-politically-correct-enforcement-up-wide-he-s/) [Ted Cruz](https://sms4smile.com/quotes/author/ted-cruz/) > [When my name started popping up I was quite irritated and a little bit in shock.](https://sms4smile.com/quotes/michael-snow/when-my-name-started-popping-up-i-was-quite-irritated-and-a-little/) [Michael Snow](https://sms4smile.com/quotes/author/michael-snow/) > [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/) [Browse all 5,709 Bits quotes ](https://sms4smile.com/quotes/about/bits/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.", "creator": { "@type": "Person", "name": "Benoit Mandelbrot" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/benoit-mandelbrot/some-mathematicians-didn-t-even-perceive-of-the-possibility-of-a/", "about": { "@type": "Thing", "name": "Bits" }, "@id": "https://sms4smile.com/quotes/benoit-mandelbrot/some-mathematicians-didn-t-even-perceive-of-the-possibility-of-a/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg", "contentUrl": "https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg", "url": "https://sms4smile.com/quotes/i/8b1/benoit-mandelbrot-7685_bits_some-mathematicians-didn-t-even-perceive_2300287.jpg", "width": 1080, "height": 1080, "caption": "“Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I…” — Benoit Mandelbrot", "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": "Benoit Mandelbrot", "item": "https://sms4smile.com/quotes/author/benoit-mandelbrot/" }, { "@type": "ListItem", "position": 4, "name": "Some mathematicians didn't even perceive of...", "item": "https://sms4smile.com/quotes/benoit-mandelbrot/some-mathematicians-didn-t-even-perceive-of-the-possibility-of-a/" } ], "@id": "https://sms4smile.com/quotes/benoit-mandelbrot/some-mathematicians-didn-t-even-perceive-of-the-possibility-of-a/#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 } } ] } ```