--- title: "Meaning & Key Takeaway of: It is the invaluable merit of the great…" description: "\"It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to..." image: "https://sms4smile.com/quotes/i/384/thomas-reid-22153_analysis_it-is-the-invaluable-merit-of-the-great_1184677.jpg" --- # It is the invaluable merit of the great Basle… ![“It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.” quote by Thomas Reid](https://sms4smile.com/quotes/i/384/thomas-reid-22153_analysis_it-is-the-invaluable-merit-of-the-great_1184677.jpg) [Download](https://sms4smile.com/quotes/i/384/thomas-reid-22153_analysis_it-is-the-invaluable-merit-of-the-great_1184677.jpg) [Open image](https://sms4smile.com/quotes/i/384/thomas-reid-22153_analysis_it-is-the-invaluable-merit-of-the-great_1184677.jpg) > “It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.” [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Euler liberated calculus from geometry, establishing analysis as a standalone discipline that dominates mathematics. **In simple terms:** Euler made analysis independent from geometry. Key Takeaway Appreciate foundational shifts that reshape fields. Themes mathematics innovation disciplinary change analysis calculus Mood analytical inspirational Type historical educational When to use this quote - research - education - problem solving - theory development Key Concepts abstraction methodology Questions to Reflect On - What modern fields could benefit from similar liberation? - How does abstraction aid problem solving? A Different Perspective Analysis still relies on geometric intuition in applications. ★ ★ ★ ★ ★ No ratings yet [Analysis](https://sms4smile.com/quotes/about/analysis/) [Analysis Independent](https://sms4smile.com/quotes/about/analysis-independent-3488403/) [Basle Mathematician](https://sms4smile.com/quotes/about/basle-mathematician-3488401/) [Bounds](https://sms4smile.com/quotes/about/bounds/) [Calculus](https://sms4smile.com/quotes/about/calculus/) [Euler](https://sms4smile.com/quotes/about/euler/) [Euler Freed](https://sms4smile.com/quotes/about/euler-freed-3488402/) [Fields](https://sms4smile.com/quotes/about/fields/) [Geometric](https://sms4smile.com/quotes/about/geometric/) [Independence](https://sms4smile.com/quotes/about/independence/) [Independent](https://sms4smile.com/quotes/about/independent/) [Invaluable](https://sms4smile.com/quotes/about/invaluable/) [Leadership](https://sms4smile.com/quotes/about/leadership/) [Leonard Euler](https://sms4smile.com/quotes/about/leonard-euler-3488399/) [Math](https://sms4smile.com/quotes/about/math/) [Mathematical](https://sms4smile.com/quotes/about/mathematical/) [Mathematician](https://sms4smile.com/quotes/about/mathematician/) [Mathematician Leonard](https://sms4smile.com/quotes/about/mathematician-leonard-3488400/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Merit](https://sms4smile.com/quotes/about/merit/) [Science](https://sms4smile.com/quotes/about/science/) ## Related quotes > [“Durante la invasión rusa en 1760, la casa de campo de Euler fue saqueada. 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If a sceptic avoid the fire as much as those…](https://sms4smile.com/quotes/thomas-reid/the-want-of-faith-as-well-as-faith-itself-is-best-shewn-by-works-if-a/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [Every man feels that perception gives him an invincible belief of the existence of that which he perceives; and that this belief is not…](https://sms4smile.com/quotes/thomas-reid/every-man-feels-that-perception-gives-him-an-invincible-belief-of-the/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to…](https://sms4smile.com/quotes/thomas-reid/we-find-sects-and-parties-in-most-branches-of-science-and-disputes/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [Every conjecture we can form with regard to the works of God has as little probability as the conjectures of a child with regard…](https://sms4smile.com/quotes/thomas-reid/every-conjecture-we-can-form-with-regard-to-the-works-of-god-has-as/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [When we contemplate the world of Epicurus, and conceive the universe to be a fortuitous jumble of atoms, there is nothing grand in this…](https://sms4smile.com/quotes/thomas-reid/when-we-contemplate-the-world-of-epicurus-and-conceive-the-universe/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [It is a question of fact, whether the influence of motives be fixed by laws of nature, so that they shall always have the…](https://sms4smile.com/quotes/thomas-reid/it-is-a-question-of-fact-whether-the-influence-of-motives-be-fixed-by/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [The rules of navigation never navigated a ship. The rules of architecture never built a house.](https://sms4smile.com/quotes/thomas-reid/the-rules-of-navigation-never-navigated-a-ship-the-rules-of/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [There is no greater impediment to the advancement of knowledge than the ambiguity of words. To this chiefly it is owing that we find…](https://sms4smile.com/quotes/thomas-reid/there-is-no-greater-impediment-to-the-advancement-of-knowledge-than/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [But when, in the first setting out, he takes it for granted without proof, that distinctions found in the structure of all languages, have…](https://sms4smile.com/quotes/thomas-reid/but-when-in-the-first-setting-out-he-takes-it-for-granted-without/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [For, until the wisdom of men bear some proportion to the wisdom of God, their attempts to find out the structure of his works,…](https://sms4smile.com/quotes/thomas-reid/for-until-the-wisdom-of-men-bear-some-proportion-to-the-wisdom-of-god/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [For the perception of the beautiful we have the term "taste"--a metaphor taken from that which is passive in the body and transferred to…](https://sms4smile.com/quotes/thomas-reid/for-the-perception-of-the-beautiful-we-have-the-term-taste-a-metaphor/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [And, if we have any evidence that the wisdom which formed the plan is in the man, we have the very same evidence, that…](https://sms4smile.com/quotes/thomas-reid/and-if-we-have-any-evidence-that-the-wisdom-which-formed-the-plan-is/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [must acknowledge, that to act properly is much more valuable than to think justly or reason acutely.](https://sms4smile.com/quotes/thomas-reid/must-acknowledge-that-to-act-properly-is-much-more-valuable-than-to/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [I sit in my loft with the haves and look out at the have-nots - the bottom of the bottom - and I have…](https://sms4smile.com/quotes/thomas-reid/i-sit-in-my-loft-with-the-haves-and-look-out-at-the-have-nots-the/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) > [ \[I\]f a man bred to the seafaring life, and accustomed to think and talk only of matters relating to navigation, enters into discourse upon… ](https://sms4smile.com/quotes/thomas-reid/i-f-a-man-bred-to-the-seafaring-life-and-accustomed-to-think-and-talk/) [Thomas Reid](https://sms4smile.com/quotes/author/thomas-reid/) [Explore all 28 Thomas Reid quotes ](https://sms4smile.com/quotes/author/thomas-reid/) ## More Analysis quotes > [Jeff Chu's pilgrimage across America to discover his own place as a gay man in the Christian church as well as attitudes about being…](https://sms4smile.com/quotes/donna-freitas/jeff-chu-s-pilgrimage-across-america-to-discover-his-own-place-as-a/) [Donna Freitas](https://sms4smile.com/quotes/author/donna-freitas/) > [My mind rebels at stagnation. 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There is less information, there's less investigation, there's less analysis, there's less accountability.](https://sms4smile.com/quotes/edward-greenspon/democracy-is-not-being-well-served-as-we-re-accustomed-to-there-is/) [Edward Greenspon](https://sms4smile.com/quotes/author/edward-greenspon/) > [As long as the human race is able to concern itself with more than mere survival, soccer will have its place.](https://sms4smile.com/quotes/desmond-morris/as-long-as-the-human-race-is-able-to-concern-itself-with-more-than/) [Desmond Morris](https://sms4smile.com/quotes/author/desmond-morris/) > [The capitalistic social order, therefore, is an economic democracy in the strictest sense of the word. 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