--- title: "Meaning & Key Takeaway of: The elegance of a mathematical theorem is…" description: "\"The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportiona..." image: "https://sms4smile.com/quotes/i/a35/george-polya-10766_beauty_the-elegance-of-a-mathematical-theorem-i_1875783.png" --- # The elegance of a mathematical theorem is directly… ![“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.” quote by George Polya](https://sms4smile.com/quotes/i/a35/george-polya-10766_beauty_the-elegance-of-a-mathematical-theorem-i_1875783.png) [Download](https://sms4smile.com/quotes/i/a35/george-polya-10766_beauty_the-elegance-of-a-mathematical-theorem-i_1875783.png) [Open image](https://sms4smile.com/quotes/i/a35/george-polya-10766_beauty_the-elegance-of-a-mathematical-theorem-i_1875783.png) > “The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.” [George Polya](https://sms4smile.com/quotes/author/george-polya/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. A theorem’s elegance grows with many independent insights and less effort to grasp them. **In simple terms:** Elegant the = many ideas, low effort to see. Key Takeaway Seek simple, insight‑rich proofs. Themes mathematics beauty elegance insight Mood reflective appreciative Type philosophical inspirational When to use this quote - teaching - research - creative work - personal learning Key Concepts problem solving cognitive economy aesthetic value Questions to Reflect On - How can you simplify a hard concept? - What makes a proof feel elegant? A Different Perspective Complexity can obscure elegance for novices. ★ ★ ★ ★ ★ No ratings yet [Beauty](https://sms4smile.com/quotes/about/beauty/) [Effort](https://sms4smile.com/quotes/about/effort/) [Elegance](https://sms4smile.com/quotes/about/elegance/) [Ideas](https://sms4smile.com/quotes/about/ideas/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) ## Related quotes > [“His ironing seemed highly rational, with a constant speed that allowed him to get the best results, with the least effort; all the economy…](https://sms4smile.com/quotes/yoko-ogawa/his-ironing-seemed-highly-rational-with-a-constant-speed-that-allowed/) [Yōko Ogawa](https://sms4smile.com/quotes/author/yoko-ogawa/) > [It is important to notice that these badly functioning designs were praised for 'elegance.' But elegance as theoretical scientists apply it is quite different.…](https://sms4smile.com/quotes/ralph-caplan/it-is-important-to-notice-that-these-badly-functioning-designs-were/) [Ralph Caplan](https://sms4smile.com/quotes/author/ralph-caplan/) > [“However, one cannot really argue with a mathematical theorem.”](https://sms4smile.com/quotes/stephen-hawking/however-one-cannot-really-argue-with-a-mathematical-theorem/) [Stephen Hawking](https://sms4smile.com/quotes/author/stephen-hawking/) > [“The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend…](https://sms4smile.com/quotes/g-h-hardy-2/the-beauty-of-a-mathematical-theorem-depends-a-great-deal-on-its/) [G.H. Hardy](https://sms4smile.com/quotes/author/g-h-hardy-2/) > [Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? 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Mathematics is in between.](https://sms4smile.com/quotes/george-polya/i-am-too-good-for-philosophy-and-not-good-enough-for-physics/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) > [Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.](https://sms4smile.com/quotes/george-polya/solving-problems-is-a-practical-art-like-swimming-or-skiing-or/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) > [An idea which can be used only once is a trick. 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If it can be used more than once it becomes a method.](https://sms4smile.com/quotes/george-polya/an-idea-which-can-be-used-once-is-a-trick-if-it-can-be-used-more-than/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) [Explore all 63 George Polya quotes ](https://sms4smile.com/quotes/author/george-polya/) ## More Beauty quotes > [We do not want nowadays temples of worship and outward rites and ceremonies. What we really want is an Asram. We want a place…](https://sms4smile.com/quotes/rabindranath-tagore/we-do-not-want-nowadays-temples-of-worship-and-outward-rites-and/) [Rabindranath Tagore](https://sms4smile.com/quotes/author/rabindranath-tagore/) > [How could anybody confuse truth with beauty, I thought as I looked at him. Truth came with sunken eyes, bony or scarred, decayed. 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