--- title: "Meaning & Key Takeaway of: As a graduate student I studied…" description: "\"As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games..." image: "https://sms4smile.com/quotes/i/c60/john-forbes-nash-jr-27420_also_as-a-graduate-student-i-studied-mathemat_1147904.jpg" --- # As a graduate student I studied mathematics fairly… ![“As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games,' also to make a nice discovery relating to manifolds and real algebraic varieties.” quote by John Forbes Nash, Jr](https://sms4smile.com/quotes/i/c60/john-forbes-nash-jr-27420_also_as-a-graduate-student-i-studied-mathemat_1147904.jpg) [Download](https://sms4smile.com/quotes/i/c60/john-forbes-nash-jr-27420_also_as-a-graduate-student-i-studied-mathemat_1147904.jpg) [Open image](https://sms4smile.com/quotes/i/c60/john-forbes-nash-jr-27420_also_as-a-graduate-student-i-studied-mathemat_1147904.jpg) > “As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games,' also to make a nice discovery relating to manifolds and real algebraic varieties.” [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Research in mathematics can lead to breakthroughs in multiple fields, showing interdisciplinary connections. **In simple terms:** Math research can impact various areas. Key Takeaway Explore cross‑disciplinary links. Themes mathematics games theory discovery Mood intellectual inquisitive Type educational inspirational When to use this quote - academic research - policy design - economics - technology development Key Concepts non‑cooperative games manifolds algebraic varieties Questions to Reflect On - How can you apply game theory today? - What other fields benefit from math? A Different Perspective Complex topics may be hard for non‑experts. ★ ★ ★ ★ ★ No ratings yet [Discovery](https://sms4smile.com/quotes/about/discovery/) [Games](https://sms4smile.com/quotes/about/games/) [Graduate student](https://sms4smile.com/quotes/about/graduate-student/) [Idea](https://sms4smile.com/quotes/about/idea/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Student](https://sms4smile.com/quotes/about/student/) ## Related quotes > [I studied mathematics fairly broadly and I was fortunate enough...also to make a nice discovery relating to manifolds and real algebraic varieties. So I…](https://sms4smile.com/quotes/john-nash/i-studied-mathematics-fairly-broadly-and-i-was-fortunate-enough-also/) [John Nash](https://sms4smile.com/quotes/author/john-nash/) > [It's interesting to be an adult and to have that level of ignorance about something, because the nice part about is you get that…](https://sms4smile.com/quotes/demetri-martin/it-s-interesting-to-be-an-adult-and-to-have-that-level-of-ignorance/) [Demetri Martin](https://sms4smile.com/quotes/author/demetri-martin/) > [When I came back from Munich, it was September, and I was Professor of Mathematics at the Eindhoven University of Technology. Later I learned…](https://sms4smile.com/quotes/edsger-dijkstra/when-i-came-back-from-munich-it-was-september-and-i-was-professor-of/) [Edsger Dijkstra](https://sms4smile.com/quotes/author/edsger-dijkstra/) > [Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.](https://sms4smile.com/quotes/felix-klein/everyone-knows-what-a-curve-is-until-he-has-studied-enough/) [Felix Klein](https://sms4smile.com/quotes/author/felix-klein/) > [There are things which seem incredible to most men who have not studied Mathematics.](https://sms4smile.com/quotes/anonymous/there-are-things-which-seem-incredible-to-most-men-who-have-not/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [I studied mathematics which is the madness of reason.](https://sms4smile.com/quotes/benjamin-moser/i-studied-mathematics-which-is-the-madness-of-reason/) [Benjamin Moser](https://sms4smile.com/quotes/author/benjamin-moser/) > [I rather stumbled into philosophy. When I began my undergraduate career at Cambridge, I studied mathematics.](https://sms4smile.com/quotes/philip-kitcher/i-rather-stumbled-into-philosophy-when-i-began-my-undergraduate/) [Philip Kitcher](https://sms4smile.com/quotes/author/philip-kitcher/) > [I can achieve that by personally relating the words that I am saying to something I have known in my life.](https://sms4smile.com/quotes/mandy-patinkin/i-can-achieve-that-by-personally-relating-the-words-that-i-am-saying/) [Mandy Patinkin](https://sms4smile.com/quotes/author/mandy-patinkin/) > [I don't know if other people have found it difficult relating to me, certainly that's not the feedback I've had. I don't think of…](https://sms4smile.com/quotes/jill-douglas/i-don-t-know-if-other-people-have-found-it-difficult-relating-to-me/) [Jill Douglas](https://sms4smile.com/quotes/author/jill-douglas/) > [My lord, I have some matter of law relating to the indictment, and I desire counsel to speak to it.](https://sms4smile.com/quotes/william-kidd/my-lord-i-have-some-matter-of-law-relating-to-the-indictment-and-i/) [William Kidd](https://sms4smile.com/quotes/author/william-kidd/) > [To live is a constant process of relating, so come on out of that shell of isolation and conclusion, and relate DIRECTLY to what…](https://sms4smile.com/quotes/bruce-lee/to-live-is-a-constant-process-of-relating-so-come-on-out-of-that/) [Bruce Lee](https://sms4smile.com/quotes/author/bruce-lee/) > [There is no plausible theory under which the record of the Pentagon Papers can be interpreted as relating to the national defense.](https://sms4smile.com/quotes/noam-chomsky/there-is-no-plausible-theory-under-which-the-record-of-the-pentagon/) [Noam Chomsky](https://sms4smile.com/quotes/author/noam-chomsky/) > [I find it hard to relate but its obvious, I'm not relating to anyone](https://sms4smile.com/quotes/anonymous/i-find-it-hard-to-relate-but-its-obvious-i-m-not-relating-to-anyone/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [“We're not shallow people. Rather, we've just gotten used to relating on levels that avoid soul issues.”](https://sms4smile.com/quotes/kary-oberbrunner/we-re-not-shallow-people-rather-we-ve-just-gotten-used-to-relating-on/) Kary Oberbrunner > [A children's author on a soapbox is not a pleasant sight but I have become drawn into issues, slightly unwillingly, relating to young people,…](https://sms4smile.com/quotes/anthony-horowitz/a-children-s-author-on-a-soapbox-is-not-a-pleasant-sight-but-i-have/) [Anthony Horowitz](https://sms4smile.com/quotes/author/anthony-horowitz/) ## More by John Forbes Nash, Jr > [I can observe the game theory is applied very much in economics. Generally, it would be wise to get into the mathematics as much…](https://sms4smile.com/quotes/john-forbes-nash-jr/i-can-observe-the-game-theory-is-applied-very-much-in-economics/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I was on the mathematics faculty at M.I.T. from 1951 through until I resigned in the spring of 1959.](https://sms4smile.com/quotes/john-forbes-nash-jr/i-was-on-the-mathematics-faculty-at-m-i-t-from-1951-through-until-i/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I don't think exactly like a professional economist. I think about economics and economic ideas, but somewhat like an outsider.](https://sms4smile.com/quotes/john-forbes-nash-jr/i-don-t-think-exactly-like-a-professional-economist-i-think-about/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I went to M.I.T. in the summer of 1951 as a 'C.L.E. Moore Instructor.' I had been an instructor at Princeton for one year…](https://sms4smile.com/quotes/john-forbes-nash-jr/i-went-to-m-i-t-in-the-summer-of-1951-as-a-c-l-e-moore-instructor-i/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [Of course, the American education system is very inefficient in many ways compared to other countries in Europe or Japan, but it works in…](https://sms4smile.com/quotes/john-forbes-nash-jr/of-course-the-american-education-system-is-very-inefficient-in-many/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [It is easy to say that there are the rich and the poor, and so something should be done. But in history, there are…](https://sms4smile.com/quotes/john-forbes-nash-jr/it-is-easy-to-say-that-there-are-the-rich-and-the-poor-and-so/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I think mental illness or madness can be an escape also. People don't develop a mental illness because they are in the happiest of…](https://sms4smile.com/quotes/john-forbes-nash-jr/i-think-mental-illness-or-madness-can-be-an-escape-also-people-don-t/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [If things are not so good, you may be one to imagine something better. 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I wouldn't have had good scientific ideas if I…](https://sms4smile.com/quotes/john-forbes-nash-jr/i-can-see-there-s-a-connection-between-not-following-normal-thinking/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [The ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.](https://sms4smile.com/quotes/john-forbes-nash-jr/the-ideas-i-had-about-supernatural-beings-came-to-me-the-same-way/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [It has had a tremendous impact on my life, more than on the life of most Prize winners, because I was in an unusual…](https://sms4smile.com/quotes/john-forbes-nash-jr/it-has-had-a-tremendous-impact-on-my-life-more-than-on-the-life-of/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I was the most important person of the world, and people like the Pope would be just like enemies, who would try to put…](https://sms4smile.com/quotes/john-forbes-nash-jr/i-was-the-most-important-person-of-the-world-and-people-like-the-pope/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [I did have strange ideas during certain periods of time.](https://sms4smile.com/quotes/john-forbes-nash-jr/i-did-have-strange-ideas-during-certain-periods-of-time/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) > [You don't have to be a mathematician to have a feel for numbers.](https://sms4smile.com/quotes/john-forbes-nash-jr/you-don-t-have-to-be-a-mathematician-to-have-a-feel-for-numbers/) [John Forbes Nash, Jr](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) [Explore all 20 John Forbes Nash, Jr quotes ](https://sms4smile.com/quotes/author/john-forbes-nash-jr/) ## More Also quotes > [I'm a workaholic, but I also like to vacation.](https://sms4smile.com/quotes/karrueche-tran/i-m-a-workaholic-but-i-also-like-to-vacation/) [Karrueche Tran](https://sms4smile.com/quotes/author/karrueche-tran/) > [I've also directed, shot, and edited several music videos.](https://sms4smile.com/quotes/richard-king/i-ve-also-directed-shot-and-edited-several-music-videos/) [Richard King](https://sms4smile.com/quotes/author/richard-king/) > [Movies have power. 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