--- title: "Meaning & Key Takeaway of: One of the central developments of 19th…" description: "\"One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety..." image: "https://sms4smile.com/quotes/i/722/richard-f-heck-55370_19th-century_one-of-the-central-developments-of-19th_467266.jpg" --- # One of the central developments of 19th century… ![“One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety of reasons, but the short version is that there was a need to be stricter about the standards of proof, because certain familiar modes of…” quote by Richard F. Heck](https://sms4smile.com/quotes/i/722/richard-f-heck-55370_19th-century_one-of-the-central-developments-of-19th_467266.jpg) [Download](https://sms4smile.com/quotes/i/722/richard-f-heck-55370_19th-century_one-of-the-central-developments-of-19th_467266.jpg) [Open image](https://sms4smile.com/quotes/i/722/richard-f-heck-55370_19th-century_one-of-the-central-developments-of-19th_467266.jpg) > “One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety of reasons, but the short version is that there was a need to be stricter about the standards of proof, because certain familiar modes of reasoning had started to lead people astray, or at least threatened to do so.” [Richard F. Heck](https://sms4smile.com/quotes/author/richard-f-heck/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematics in the 19th century demanded stricter proof standards to avoid errors. **In simple terms:** Math became more rigorous to prevent mistakes. Key Takeaway Value precision and rigor in reasoning. Themes mathematics history rigor Mood serious reflective Type academic philosophical When to use this quote - academic research - education - theoretical work - peer review Key Concepts proof standards philosophy of math Questions to Reflect On - Why is rigor essential? - What are the costs of less strict proof? A Different Perspective Rigorous standards can slow progress. ★ ★ ★ ★ ★ No ratings yet [Dramatic](https://sms4smile.com/quotes/about/dramatic/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [People](https://sms4smile.com/quotes/about/people/) [Reason](https://sms4smile.com/quotes/about/reason/) [Rigor](https://sms4smile.com/quotes/about/rigor/) [Variety](https://sms4smile.com/quotes/about/variety/) ## Related quotes > [The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.](https://sms4smile.com/quotes/jacques-hadamard/the-object-of-mathematical-rigor-is-to-sanction-and-legitimize-the/) [Jacques Hadamard](https://sms4smile.com/quotes/author/jacques-hadamard/) > [If there is something very slightly wrong in our definition of the theories, then the full mathematical rigor may convert these errors into ridiculous…](https://sms4smile.com/quotes/richard-p-feynman/if-there-is-something-very-slightly-wrong-in-our-definition-of-the/) [Richard P. 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Heck > [Intuitionists think that there are cases in which, say, some identity statement between real numbers is neither true nor false, even though we know…](https://sms4smile.com/quotes/richard-f-heck/intuitionists-think-that-there-are-cases-in-which-say-some-identity/) [Richard F. Heck](https://sms4smile.com/quotes/author/richard-f-heck/) > [Generally speaking, I tend to think that whether a philosopher's views are true is a poor test of their quality. What matter are the…](https://sms4smile.com/quotes/richard-f-heck/generally-speaking-i-tend-to-think-that-whether-a-philosopher-s-views/) [Richard F. Heck](https://sms4smile.com/quotes/author/richard-f-heck/) > [To borrow from Mark Twain, I tend to think that reports of the death of supervaluationist approaches have been greatly exaggerated. The arguments that…](https://sms4smile.com/quotes/richard-f-heck/to-borrow-from-mark-twain-i-tend-to-think-that-reports-of-the-death/) [Richard F. 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The…](https://sms4smile.com/quotes/henry-adams/washington-was-no-politician-as-we-understand-the-word-replied/) [Henry Adams](https://sms4smile.com/quotes/author/henry-adams/) > [Then years back, when I moved to California, I happened to see a book about fashions of 19th-century Victorian England, only four pages of…](https://sms4smile.com/quotes/anonymous/then-years-back-when-i-moved-to-california-i-happened-to-see-a-book/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Like the railroads that brought us together in the 19th century, these trails will bring us together in the 20th and 21st centuries. (at…](https://sms4smile.com/quotes/hillary-clinton/like-the-railroads-that-brought-us-together-in-the-19th-century-these/) [Hillary Clinton](https://sms4smile.com/quotes/author/hillary-clinton/) > [By tracing the careers of the four members of the Philosophical Breakfast Club, Laura Snyder has found a wonderful way not just to tell…](https://sms4smile.com/quotes/tom-standage/by-tracing-the-careers-of-the-four-members-of-the-philosophical/) [Tom Standage](https://sms4smile.com/quotes/author/tom-standage/) > [If you look back on the history of the 20th century, the 19th century or even to the ancien régime of the 18th, you…](https://sms4smile.com/quotes/zygmunt-bauman/if-you-look-back-on-the-history-of-the-20th-century-the-19th-century/) [Zygmunt Bauman](https://sms4smile.com/quotes/author/zygmunt-bauman/) > [If you look at that incredible burst of fantastic characters that emerged in the late 19th century/early 20th century, you can see so many…](https://sms4smile.com/quotes/alan-moore/if-you-look-at-that-incredible-burst-of-fantastic-characters-that/) [Alan Moore](https://sms4smile.com/quotes/author/alan-moore/) > [ . . . 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I don't think that today's women see motherhood as a source…](https://sms4smile.com/quotes/clare-wright/an-ethic-of-maternalism-was-central-to-the-utopianism-of-19th-century/) Clare Wright Browse all 383 19th century quotes ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety of reasons, but the short version is that there was a need to be stricter about the standards of proof, because certain familiar modes of reasoning had started to lead people astray, or at least threatened to do so.", "creator": { "@type": "Person", "name": "Richard F. 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