---
title: "12 Mathematical Quotes By Ada Lovelace"
description: "12 Mathematical quotes by Ada Lovelace. Plus more from Ada Lovelace and more Mathematical sayings from other authors."
image: "https://sms4smile.com/quotes/i/b67/ada-lovelace-10853_action_in-studying-the-action-of-the-analytical_2331821.png"
---

> [In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all…](https://sms4smile.com/quotes/ada-lovelace/in-studying-the-action-of-the-analytical-engine-we-find-that-the/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/b67/ada-lovelace-10853_action_in-studying-the-action-of-the-analytical_2331821.png)

> [One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on,…](https://sms4smile.com/quotes/ada-lovelace/one-main-reason-why-the-separate-nature-of-the-science-of-operations/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/34a/ada-lovelace-10853_felt_one-main-reason-why-the-separate-nature_1261647.jpg)

> [The Difference Engine can in reality (as has been already partly explained) do nothing but add; and any other processes, not excepting…](https://sms4smile.com/quotes/ada-lovelace/the-difference-engine-can-in-reality-as-has-been-already-partly/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/eaa/ada-lovelace-10853_add_the-difference-engine-can-in-reality-as_2299180.jpg)

> [Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more…](https://sms4smile.com/quotes/ada-lovelace/thus-not-only-the-mental-and-the-material-but-the-theoretical-and-the/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/aa4/ada-lovelace-10853_connections_thus-not-only-the-mental-and-the-materia_2405374.png)

> [The method of differences is, in fact, a method of additions; and as it includes within its means a larger number of…](https://sms4smile.com/quotes/ada-lovelace/the-method-of-differences-is-in-fact-a-method-of-additions-and-as-it/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/cd7/ada-lovelace-10853_addition_the-method-of-differences-is-in-fact-a-m_1926088.png)

> [In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the…](https://sms4smile.com/quotes/ada-lovelace/in-enabling-mechanism-to-combine-together-general-symbols-in/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/5ad/ada-lovelace-10853_abstract_in-enabling-mechanism-to-combine-togethe_360544.png)

> [Mathematical science shows what is. It is the language of unseen relations between things. But to use and apply that language, we…](https://sms4smile.com/quotes/ada-lovelace/mathematical-science-shows-what-is-it-is-the-language-of-unseen/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/b55/ada-lovelace-10853_apply_mathematical-science-shows-what-is-it-is_740674.jpg)

> [It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and…](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/)

[Image](https://sms4smile.com/quotes/i/b51/ada-lovelace-10853_devising_it-is-however-pretty-evident-on-general_552803.jpg)

> [It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate…](https://sms4smile.com/quotes/ada-lovelace/it-were-much-to-be-desired-that-when-mathematical-processes-pass/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/979/ada-lovelace-10853_analysis_it-were-much-to-be-desired-that-when-mat_2352921.png)

> [Imagination is the Discovering Faculty, pre-eminently ... It is that which feels &amp; discovers what is, the REAL which we see not,…](https://sms4smile.com/quotes/ada-lovelace/imagination-is-the-discovering-faculty-pre-eminently-it-is-that-which-2/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/edd/ada-lovelace-10853_discovering_imagination-is-the-discovering-faculty-p_3129144.jpg)

> [The further we analyse the manner in which such an engine performs its processes and attains its results, the more we perceive…](https://sms4smile.com/quotes/ada-lovelace/the-further-we-analyse-the-manner-in-which-such-an-engine-performs/)

[Ada Lovelace](https://sms4smile.com/quotes/author/ada-lovelace/)

[Image](https://sms4smile.com/quotes/i/cfa/ada-lovelace-10853_analysis_the-further-we-analyse-the-manner-in-whi_3145012.png)

> [ Many persons who are not conversant with mathematical studies imagine that because the business of \[Babbage’s Analytical Engine\] is to give its… ](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/)

[Image](https://sms4smile.com/quotes/i/954/ada-lovelace-10853_business_many-persons-who-are-not-conversant-with_488566.jpg)

## Other authors on Mathematical

## 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/)

> [Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms…](https://sms4smile.com/quotes/ada-lovelace/secondly-figures-the-symbols-of-numerical-magnitude-are-frequently/)

[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, &amp; 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/)

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                        "text": "One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation. First, the symbols of operation are frequently also the symbols of the results of operations.",
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                        "text": "The Difference Engine can in reality (as has been already partly explained) do nothing but add; and any other processes, not excepting those of simple subtraction, multiplication and division, can be performed by it only just to that extent in which it is possible, by judicious mathematical arrangement and artifices, to reduce them to a series of additions.",
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                        "text": "The method of differences is, in fact, a method of additions; and as it includes within its means a larger number of results attainable by addition simply, than any other mathematical principle, it was very appropriately selected as the basis on which to construct an Adding Machine, so as to give to the powers of such a machine the widest possible range.",
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                        "text": "It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it were equally a necessity of things that the reasonings connected with operations should hold the same just place as a clear and well-defined branch of the subject of analysis, a fundamental but yet independent ingredient in the science, which they must do in studying the engine.",
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                        "text": "Imagination is the Discovering Faculty, pre-eminently ... It is that which feels & discovers what is, the REAL which we see not, which exists not for our senses... Mathematical science shows what is. It is the language of unseen relations between things... Imagination too shows what is ... Hence she is or should be especially cultivated by the truly Scientific, those who wish to enter into the worlds around us!",
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                        "text": "The further we analyse the manner in which such an engine performs its processes and attains its results, the more we perceive how distinctly it places in a true and just light the mutual relations and connexion of the various steps of mathematical analysis; how clearly it separates those things which are in reality distinct and independent, and unites those which are mutually dependent.",
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                        "text": "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 numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.",
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