--- title: "Meaning & Key Takeaway of: Thus, in a sense, mathematics has been…" description: "\"Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.\" — Felix Klein" image: "https://sms4smile.com/quotes/i/9bc/felix-klein-38045_distinguished_thus-in-a-sense-mathematics-has-been-mos_1744559.png" --- # Thus, in a sense, mathematics has been most advanced by… ![“Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.” quote by Felix Klein](https://sms4smile.com/quotes/i/9bc/felix-klein-38045_distinguished_thus-in-a-sense-mathematics-has-been-mos_1744559.png) [Download](https://sms4smile.com/quotes/i/9bc/felix-klein-38045_distinguished_thus-in-a-sense-mathematics-has-been-mos_1744559.png) [Open image](https://sms4smile.com/quotes/i/9bc/felix-klein-38045_distinguished_thus-in-a-sense-mathematics-has-been-mos_1744559.png) > “Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.” [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematics progresses when intuition guides discovery more than strict formalism. **In simple terms:** Intuition drives math breakthroughs more than rigid proofs. Key Takeaway Trust your intuition in problem solving. Themes intuition creativity mathematics Mood curious inspired Type philosophical reflective When to use this quote - research - education - personal study - problem solving Key Concepts heuristics insight innovation Questions to Reflect On - How can you balance intuition with rigor? - When is intuition insufficient? A Different Perspective Intuition can lead to errors without verification. ★ ★ ★ ★ ★ No ratings yet [Advanced Distinguished](https://sms4smile.com/quotes/about/advanced-distinguished-1549380/) [Distinguished](https://sms4smile.com/quotes/about/distinguished/) [Distinguished Intuition](https://sms4smile.com/quotes/about/distinguished-intuition-1549377/) [Intuition](https://sms4smile.com/quotes/about/intuition/) [Intuition Rigorous](https://sms4smile.com/quotes/about/intuition-rigorous-1549379/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Mathematics Advanced](https://sms4smile.com/quotes/about/mathematics-advanced-1549378/) [Proof](https://sms4smile.com/quotes/about/proof/) ## Related quotes > [The ensouled is distinguished from the unsouled by its being alive. 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