--- title: "Meaning & Key Takeaway of: Secondly, figures, the symbols of…" description: "\"Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever ..." image: "https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg" --- # Secondly, figures, the symbols of numerical magnitude, are… ![“Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms have a shifting meaning, independent sets of considerations are liable to become complicated together, and reasoning and results are…” quote by Ada Lovelace](https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg) [Download](https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg) [Open image](https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg) > “Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms have a shifting meaning, independent sets of considerations are liable to become complicated together, and reasoning and results are frequently falsified.” [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematical symbols can represent both values and operations, causing ambiguity when meanings shift, which can lead to flawed reasoning. **In simple terms:** Symbols can mean numbers or actions, creating confusion. Key Takeaway Beware of ambiguous notation. Themes mathematics logic notation Mood cautious analytical Type theoretical educational When to use this quote - programming - engineering - education - research Key Concepts symbolic representation dual meaning Questions to Reflect On - How can we design clearer symbolic systems? - When does dual meaning enhance understanding? A Different Perspective Ambiguity may be unavoidable in complex systems. ★ ★ ★ ★ ★ No ratings yet [Consideration](https://sms4smile.com/quotes/about/consideration/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Reasoning](https://sms4smile.com/quotes/about/reasoning/) [Symbols](https://sms4smile.com/quotes/about/symbols/) ## Related quotes > [We are not entirely sure of the meaning of all of the symbolic stones and their placement. Neither Joseph Smith nor Brigham Young said…](https://sms4smile.com/quotes/loren-c-dunn/we-are-not-entirely-sure-of-the-meaning-of-all-of-the-symbolic-stones/) [Loren C. Dunn](https://sms4smile.com/quotes/author/loren-c-dunn/) > [None are more liable to mistakes than those who act only on second thoughts.](https://sms4smile.com/quotes/luc-de-clapiers/none-are-more-liable-to-mistakes-than-those-who-act-only-on-second/) [Luc de Clapiers](https://sms4smile.com/quotes/author/luc-de-clapiers/) > [All men are liable to error; and most men are, in many points, by passion or interest, under temptation to it.](https://sms4smile.com/quotes/john-locke/all-men-are-liable-to-error-and-most-men-are-in-many-points-by/) [John Locke](https://sms4smile.com/quotes/author/john-locke/) > [It appears to be uncertain whether the journey of Mary with her husband was obligatory or voluntary. . . . Women were liable to…](https://sms4smile.com/quotes/frederic-farrar/it-appears-to-be-uncertain-whether-the-journey-of-mary-with-her/) [Frederic Farrar](https://sms4smile.com/quotes/author/frederic-farrar/) > [Every single means of communication amongst the public, the government has antennae into, to find out who is liable to be sympathetic and who…](https://sms4smile.com/quotes/david-lloyd/every-single-means-of-communication-amongst-the-public-the-government/) [David Lloyd](https://sms4smile.com/quotes/author/david-lloyd/) > [But Hey, Guess What Crazy means I'm not liable for my actions. So screw it, I'll go home, propped up on Prozac against distractions](https://sms4smile.com/quotes/ellen-hopkins/but-hey-guess-what-crazy-means-i-m-not-liable-for-my-actions-so-screw/) [Ellen Hopkins](https://sms4smile.com/quotes/author/ellen-hopkins/) > [Courage, like cowardice, is undoubtedly contagious, but some persons are not liable to catch it.](https://sms4smile.com/quotes/george-d-prentice/courage-like-cowardice-is-undoubtedly-contagious-but-some-persons-are/) [George D. Prentice](https://sms4smile.com/quotes/author/george-d-prentice/) > [We are far more liable to catch the vices than the virtues of our associates.](https://sms4smile.com/quotes/denis-diderot/we-are-far-more-liable-to-catch-the-vices-than-the-virtues-of-our/) [Denis Diderot](https://sms4smile.com/quotes/author/denis-diderot/) > [True charity is liable to excesses and transports.](https://sms4smile.com/quotes/jean-baptiste-massillon/true-charity-is-liable-to-excesses-and-transports/) [Jean Baptiste Massillon](https://sms4smile.com/quotes/author/jean-baptiste-massillon/) > [Inspiration is highly overrated. If you sit around and wait for the clouds to part, it's not liable to ever happen. More often than…](https://sms4smile.com/quotes/chuck-close/inspiration-is-highly-overrated-if-you-sit-around-and-wait-for-the/) [Chuck Close](https://sms4smile.com/quotes/author/chuck-close/) > [Men cannot labor on always. They must have intervals of relaxation. They cannot sleep through these intervals. What are they to do? Why, if…](https://sms4smile.com/quotes/orville-dewey/men-cannot-labor-on-always-they-must-have-intervals-of-relaxation/) [Orville Dewey](https://sms4smile.com/quotes/author/orville-dewey/) > [With respect to where we are now, we have a voluntary army. And if we ever go back to conscription I hope that at…](https://sms4smile.com/quotes/colin-powell/with-respect-to-where-we-are-now-we-have-a-voluntary-army-and-if-we/) [Colin Powell](https://sms4smile.com/quotes/author/colin-powell/) > [Printers shall be liable to legal prosecution for printing and publishing false facts injurious to the party prosecuting: but they shall be under no…](https://sms4smile.com/quotes/thomas-jefferson/printers-shall-be-liable-to-legal-prosecution-for-printing-and/) [Thomas Jefferson](https://sms4smile.com/quotes/author/thomas-jefferson/) > [That's the only way I can control my movie. If you shoot everything, then everything is liable to end up in the movie. If…](https://sms4smile.com/quotes/debbie-allen/that-s-the-only-way-i-can-control-my-movie-if-you-shoot-everything/) [Debbie Allen](https://sms4smile.com/quotes/author/debbie-allen/) > [The emerging church movement has come to believe that the ultimate context of the spiritual aspirations of a follower of Jesus Christ is not…](https://sms4smile.com/quotes/samir-selmanovic/the-emerging-church-movement-has-come-to-believe-that-the-ultimate/) [Samir Selmanovic](https://sms4smile.com/quotes/author/samir-selmanovic/) ## More by Ada Lovelace > [If you can't give me poetry, can't you give me poetical science?](https://sms4smile.com/quotes/ada-lovelace/if-you-can-t-give-me-poetry-can-t-you-give-me-poetical-science/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [The ideas which led to the Analytical Engine occurred in a manner wholly independent of any that were connected with the Difference Engine. These…](https://sms4smile.com/quotes/ada-lovelace/the-ideas-which-led-to-the-analytical-engine-occurred-in-a-manner/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [Those who incline to very strictly utilitarian views may perhaps feel that the peculiar powers of the Analytical Engine bear upon questions of abstract…](https://sms4smile.com/quotes/ada-lovelace/those-who-incline-to-very-strictly-utilitarian-views-may-perhaps-feel/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves.](https://sms4smile.com/quotes/ada-lovelace/we-may-say-most-aptly-that-the-analytical-engine-weaves-algebraical/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [Indeed we may consider the engine as the material and mechanical representative of analysis, and that our actual working powers in this department of…](https://sms4smile.com/quotes/ada-lovelace/indeed-we-may-consider-the-engine-as-the-material-and-mechanical/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [This one fact implies everything; and it is scarcely necessary to point out, for instance, that while the Difference Engine can merely tabulate, and…](https://sms4smile.com/quotes/ada-lovelace/this-one-fact-implies-everything-and-it-is-scarcely-necessary-to/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform... But it…](https://sms4smile.com/quotes/ada-lovelace/the-analytical-engine-has-no-pretensions-whatever-to-originate/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of…](https://sms4smile.com/quotes/ada-lovelace/in-enabling-mechanism-to-combine-together-general-symbols-in/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [The object of the engine is in fact to give the utmost practical efficiency to the resources of numerical interpretations of the higher science…](https://sms4smile.com/quotes/ada-lovelace/the-object-of-the-engine-is-in-fact-to-give-the-utmost-practical/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [“The Analytical Engine weaves algebraic patterns, just as the Jacquard loom weaves flowers and leaves.”](https://sms4smile.com/quotes/ada-lovelace/the-analytical-engine-weaves-algebraic-patterns-just-as-the-jacquard/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [In considering any new subject, there is frequently a tendency, first, to overrate what we find to be already interesting or remarkable; and, secondly,…](https://sms4smile.com/quotes/ada-lovelace/in-considering-any-new-subject-there-is-frequently-a-tendency-first/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [ Many persons who are not conversant with mathematical studies imagine that because the business of \[Babbage’s Analytical Engine\] is to give its results in… ](https://sms4smile.com/quotes/ada-lovelace/many-persons-who-are-not-conversant-with-mathematical-studies-imagine/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [I have my hopes, & very distinct ones, too, of one day getting cerebral phenomena such that I can put them into mathematical equations:…](https://sms4smile.com/quotes/ada-lovelace/i-have-my-hopes-very-distinct-ones-too-of-one-day-getting-cerebral/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and throw themselves…](https://sms4smile.com/quotes/ada-lovelace/it-is-however-pretty-evident-on-general-principles-that-in-devising/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) > [Owing to some peculiarity in my nervous system, I have perception of some things, which no one else has; or at least very few,…](https://sms4smile.com/quotes/ada-lovelace/owing-to-some-peculiarity-in-my-nervous-system-i-have-perception-of/) [Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/) [Explore all 63 Ada Lovelace quotes ](https://sms4smile.com/quotes/author/ada-lovelace/) ## More Complicated quotes > [Of course I like you. It's because I like you I don't wanna be with you. It's a complicated emotion.](https://sms4smile.com/quotes/marlin/of-course-i-like-you-it-s-because-i-like-you-i-don-t-wanna-be-with/) Marlin > [“Why the hell did he have to be so complicated? One minute he was charming, the next he withdrew behind his internal walls.”](https://sms4smile.com/quotes/lia-davis/why-the-hell-did-he-have-to-be-so-complicated-one-minute-he-was/) [Lia Davis](https://sms4smile.com/quotes/author/lia-davis/) > [Life is more complicated than we think, yet far simpler than anyone dares to imagine](https://sms4smile.com/quotes/lawrence-durrell/life-is-more-complicated-than-we-think-yet-far-simpler-than-anyone/) [Lawrence Durrell](https://sms4smile.com/quotes/author/lawrence-durrell/) > [I think adoption becomes complicated whenever the biological parents are alive.](https://sms4smile.com/quotes/james-haven/i-think-adoption-becomes-complicated-whenever-the-biological-parents/) [James Haven](https://sms4smile.com/quotes/author/james-haven/) > [We animals are the most complicated things in the known universe.](https://sms4smile.com/quotes/richard-dawkins/we-animals-are-the-most-complicated-things-in-the-known-universe/) [Richard Dawkins](https://sms4smile.com/quotes/author/richard-dawkins/) > [Programmers are always surrounded by complexity; we cannot avoid it… If our basic tool, the language in which we design and code our programs,…](https://sms4smile.com/quotes/tony-hoare/programmers-are-always-surrounded-by-complexity-we-cannot-avoid-it-if/) [Tony Hoare](https://sms4smile.com/quotes/author/tony-hoare/) > [“Just because it's complicated, just because you think you can't ever know everything about another person, it doesn't mean you can't try.”](https://sms4smile.com/quotes/maria-semple/just-because-it-s-complicated-just-because-you-think-you-can-t-ever/) [Maria Semple](https://sms4smile.com/quotes/author/maria-semple/) > [The one thing I absolutely hate about social media are the people who abuse it. Whenever I see a person who constantly posts negative…](https://sms4smile.com/quotes/jazmin-garcia/the-one-thing-i-absolutely-hate-about-social-media-are-the-people-who/) [Jazmin Garcia](https://sms4smile.com/quotes/author/jazmin-garcia/) > [I think the ethics and morals of genetic engineering are very complicated. It intrigues me.](https://sms4smile.com/quotes/roger-spottiswoode/i-think-the-ethics-and-morals-of-genetic-engineering-are-very/) [Roger Spottiswoode](https://sms4smile.com/quotes/author/roger-spottiswoode/) > [Your Starbucks order is directly proportional to how complicated your personality is.](https://sms4smile.com/quotes/kevin/your-starbucks-order-is-directly-proportional-to-how-complicated-your/) [Kevin](https://sms4smile.com/quotes/author/kevin/) > [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/) [Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/) > [I have learned so much from my dad. Perhaps the biggest thing I've learned from my dad is how to be prepared at all…](https://sms4smile.com/quotes/jay-sekulow/i-have-learned-so-much-from-my-dad-perhaps-the-biggest-thing-i-ve/) [Jay Sekulow](https://sms4smile.com/quotes/author/jay-sekulow/) > [The world is complicated and full of grays, but there's still truth there to be found.](https://sms4smile.com/quotes/barack-obama/the-world-is-complicated-and-full-of-grays-but-there-s-still-truth/) [Barack Obama](https://sms4smile.com/quotes/author/barack-obama/) > [ The parts of the \[Civil Right\] Movement we recognize so well now were not born from a single decision, but were a complicated and… ](https://sms4smile.com/quotes/andrew-aydin/the-parts-of-the-civil-right-movement-we-recognize-so-well-now-were/) [Andrew Aydin](https://sms4smile.com/quotes/author/andrew-aydin/) > [Two people could build an outhouse in four hours. They're not complicated.](https://sms4smile.com/quotes/robert-maxwell/two-people-could-build-an-outhouse-in-four-hours-they-re-not/) [Robert Maxwell](https://sms4smile.com/quotes/author/robert-maxwell/) Browse all 3,190 Complicated quotes ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms have a shifting meaning, independent sets of considerations are liable to become complicated together, and reasoning and results are frequently falsified.", "creator": { "@type": "Person", "name": "Ada Lovelace" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/ada-lovelace/secondly-figures-the-symbols-of-numerical-magnitude-are-frequently/", "about": { "@type": "Thing", "name": "Complicated" }, "@id": "https://sms4smile.com/quotes/ada-lovelace/secondly-figures-the-symbols-of-numerical-magnitude-are-frequently/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg", "contentUrl": "https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg", "url": "https://sms4smile.com/quotes/i/258/ada-lovelace-10853_complicated_secondly-figures-the-symbols-of-numerica_435440.jpg", "width": 1080, "height": 1080, "caption": "“Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as…” — Ada Lovelace", "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": "Ada Lovelace", "item": "https://sms4smile.com/quotes/author/ada-lovelace/" }, { "@type": "ListItem", "position": 4, "name": "Secondly, figures, the symbols of numerical...", "item": "https://sms4smile.com/quotes/ada-lovelace/secondly-figures-the-symbols-of-numerical-magnitude-are-frequently/" } ], "@id": "https://sms4smile.com/quotes/ada-lovelace/secondly-figures-the-symbols-of-numerical-magnitude-are-frequently/#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 } } ] } ```