--- title: "Meaning & Key Takeaway of: Without troublesome work, no one can have…" description: "\"Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can b..." image: "https://sms4smile.com/quotes/i/19f/edmund-husserl-20601_concrete_without-troublesome-work-no-one-can-have_1468032.png" --- # Without troublesome work, no one can have any concrete… ![“Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.” quote by Edmund Husserl](https://sms4smile.com/quotes/i/19f/edmund-husserl-20601_concrete_without-troublesome-work-no-one-can-have_1468032.png) [Download](https://sms4smile.com/quotes/i/19f/edmund-husserl-20601_concrete_without-troublesome-work-no-one-can-have_1468032.png) [Open image](https://sms4smile.com/quotes/i/19f/edmund-husserl-20601_concrete_without-troublesome-work-no-one-can-have_1468032.png) > “Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.” [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Deep, hands‑on work is essential to truly grasp the nature and richness of pure mathematics. **In simple terms:** Hard work reveals mathematics’ true depth. Key Takeaway Engage actively with challenging problems. Themes mathematics research understanding Mood analytical curious Type philosophical inspirational When to use this quote - academic study - problem solving - collaborative research - grant writing Key Concepts phenomenology epistemology creativity Questions to Reflect On - What concrete problem can you explore to test a theory? - How does struggle shape your appreciation of a result? A Different Perspective Pure research may become abstract without practical application. ★ ★ ★ ★ ★ No ratings yet [Concrete](https://sms4smile.com/quotes/about/concrete/) [Concrete Idea](https://sms4smile.com/quotes/about/concrete-idea-5320496/) [Ideas](https://sms4smile.com/quotes/about/ideas/) [Insight](https://sms4smile.com/quotes/about/insight/) [Mathematical](https://sms4smile.com/quotes/about/mathematical/) [Mathematical Research](https://sms4smile.com/quotes/about/mathematical-research-3732356/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Pure](https://sms4smile.com/quotes/about/pure/) [Pure Mathematical](https://sms4smile.com/quotes/about/pure-mathematical-2698735/) [Research](https://sms4smile.com/quotes/about/research/) [Science](https://sms4smile.com/quotes/about/science/) [Troublesome](https://sms4smile.com/quotes/about/troublesome/) [Troublesome Work](https://sms4smile.com/quotes/about/troublesome-work-4967579/) [Wisdom](https://sms4smile.com/quotes/about/wisdom/) ## Related quotes > [It requires troublesome work to undertake the alteration of old beliefs.](https://sms4smile.com/quotes/john-dewey/it-requires-troublesome-work-to-undertake-the-alteration-of-old/) [John Dewey](https://sms4smile.com/quotes/author/john-dewey/) > [The path of least resistance and least trouble is a mental rut already made. It requires troublesome work to undertake the alternation of old…](https://sms4smile.com/quotes/john-dewey/the-path-of-least-resistance-and-least-trouble-is-a-mental-rut/) [John Dewey](https://sms4smile.com/quotes/author/john-dewey/) > [Sometimes a line of mathematical research extending through decades can be thought of as one long conversation in which many mathematicians take part. This…](https://sms4smile.com/quotes/barry-mazur/sometimes-a-line-of-mathematical-research-extending-through-decades/) [Barry Mazur](https://sms4smile.com/quotes/author/barry-mazur/) > [“The ease with which collaboration occurs in mathematical research and the essential similarity of the fruits of such collaboration to that of individual work…](https://sms4smile.com/quotes/john-d-barrow/the-ease-with-which-collaboration-occurs-in-mathematical-research-and/) [John D. Barrow](https://sms4smile.com/quotes/author/john-d-barrow/) > [A pure mathematical series would be one in which each term is derived from the preceding term by a rule.](https://sms4smile.com/quotes/george-oppen/a-pure-mathematical-series-would-be-one-in-which-each-term-is-derived/) [George Oppen](https://sms4smile.com/quotes/author/george-oppen/) > [It is my conviction that pure mathematical construction enables us to discover the concepts and the laws connecting them, which gives us the key…](https://sms4smile.com/quotes/albert-einstein/it-is-my-conviction-that-pure-mathematical-construction-enables-us-to-2/) [Albert Einstein](https://sms4smile.com/quotes/author/albert-einstein/) > [“It is my conviction that pure mathematical construction enables us to discover the concepts and the laws connecting them, which give us the key…](https://sms4smile.com/quotes/albert-einstein/it-is-my-conviction-that-pure-mathematical-construction-enables-us-to/) [Albert Einstein](https://sms4smile.com/quotes/author/albert-einstein/) > [Do we leave it to individuals to decide that they are the intelligent ones who should have more kids? And more troublesome, what about…](https://sms4smile.com/quotes/john-tanton/do-we-leave-it-to-individuals-to-decide-that-they-are-the-intelligent/) [John Tanton](https://sms4smile.com/quotes/author/john-tanton/) > [It gets a little bit troublesome when you have something that's overcompressed that shouldn't be.](https://sms4smile.com/quotes/beck/it-gets-a-little-bit-troublesome-when-you-have-something-that-s/) [Beck](https://sms4smile.com/quotes/author/beck/) > [Protest beyond the law is not a departure from democracy; it is absolutely essential to it. It is a corrective to the sluggishness of…](https://sms4smile.com/quotes/howard-zinn/protest-beyond-the-law-is-not-a-departure-from-democracy-it-is/) [Howard Zinn](https://sms4smile.com/quotes/author/howard-zinn/) > [Those who are successfully to lead their fellow-men, should have once possessed the nobler feelings. We have all known individuals whose magnanimity was not…](https://sms4smile.com/quotes/arthur-helps/those-who-are-successfully-to-lead-their-fellow-men-should-have-once/) [Arthur Helps](https://sms4smile.com/quotes/author/arthur-helps/) > [Kaffirs are as a rule uncivilized - the convicts even more so. They are troublesome, very dirty and live almost like animals.](https://sms4smile.com/quotes/mahatma-gandhi/kaffirs-are-as-a-rule-uncivilized-the-convicts-even-more-so-they-are/) [Mahatma Gandhi](https://sms4smile.com/quotes/author/mahatma-gandhi/) > [It's sometimes hard to talk about politics and art. Obviously, I have my core beliefs, but I think art is best when it's troublesome…](https://sms4smile.com/quotes/robert-greene/it-s-sometimes-hard-to-talk-about-politics-and-art-obviously-i-have/) [Robert Greene](https://sms4smile.com/quotes/author/robert-greene/) > [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/) [Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/) > [Life is such a very troublesome matter, when all is said and done, that it's as well even to take its blessings quietly.](https://sms4smile.com/quotes/mary-elizabeth-braddon/life-is-such-a-very-troublesome-matter-when-all-is-said-and-done-that/) [Mary Elizabeth Braddon](https://sms4smile.com/quotes/author/mary-elizabeth-braddon/) ## More by Edmund Husserl > [Natural objects, for example, must be experienced before any theorizing about them can occur.](https://sms4smile.com/quotes/edmund-husserl/natural-objects-for-example-must-be-experienced-before-any-theorizing/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [“Zu den Sachen selbst!”](https://sms4smile.com/quotes/edmund-husserl/zu-den-sachen-selbst/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [All perception is a gamble.](https://sms4smile.com/quotes/edmund-husserl/all-perception-is-a-gamble/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [Pure phenomenology claims to be the science of pure phenomena. This concept of the phenomenon, which was developed under various names as early as…](https://sms4smile.com/quotes/edmund-husserl/pure-phenomenology-claims-to-be-the-science-of-pure-phenomena-this/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [The actuality of all of material Nature is therefore kept out of action and that of all corporeality along with it, including the actuality…](https://sms4smile.com/quotes/edmund-husserl/the-actuality-of-all-of-material-nature-is-therefore-kept-out-of/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [Experience by itself is not science.](https://sms4smile.com/quotes/edmund-husserl/experience-by-itself-is-not-science/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [Within this widest concept of object, and specifically within the concept of individual object, Objects and phenomena stand in contrast with each other.](https://sms4smile.com/quotes/edmund-husserl/within-this-widest-concept-of-object-and-specifically-within-the/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [Something similar is still true of the courses followed by manifold intuitions which together make up the unity of one continuous consciousness of one…](https://sms4smile.com/quotes/edmund-husserl/something-similar-is-still-true-of-the-courses-followed-by-manifold/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [I had to philosophize. Otherwise, I could not live in this world.](https://sms4smile.com/quotes/edmund-husserl/i-had-to-philosophize-otherwise-i-could-not-live-in-this-world/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [To begin with, we put the proposition: pure phenomenology is the science of pure consciousness.](https://sms4smile.com/quotes/edmund-husserl/to-begin-with-we-put-the-proposition-pure-phenomenology-is-the/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [Direct the glance of apprehension & inquiry to pure consciousness, in its own absolute Being.](https://sms4smile.com/quotes/edmund-husserl/direct-the-glance-of-apprehension-inquiry-to-pure-consciousness-in/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [To every object there correspond an ideally closed system of truths that are true of it and, on the other hand, an ideal system…](https://sms4smile.com/quotes/edmund-husserl/to-every-object-there-correspond-an-ideally-closed-system-of-truths/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [It just is nothing foreign to consciousness at all that could present itself to consciousness through the mediation of phenomena different from the liking…](https://sms4smile.com/quotes/edmund-husserl/it-just-is-nothing-foreign-to-consciousness-at-all-that-could-present/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [We would be in a nasty position indeed if empirical science were the only kind of science possible.](https://sms4smile.com/quotes/edmund-husserl/we-would-be-in-a-nasty-position-indeed-if-empirical-science-were-the/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) > [In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!](https://sms4smile.com/quotes/edmund-husserl/in-a-few-decades-of-reconstruction-even-the-mathematical-natural/) [Edmund Husserl](https://sms4smile.com/quotes/author/edmund-husserl/) [Explore all 30 Edmund Husserl quotes ](https://sms4smile.com/quotes/author/edmund-husserl/) ## More Concrete quotes > [I used a psychologist when I was playing, It's one of the most powerful things: how you can have a concrete head and not…](https://sms4smile.com/quotes/scott-parker/i-used-a-psychologist-when-i-was-playing-it-s-one-of-the-most/) [Scott Parker](https://sms4smile.com/quotes/author/scott-parker/) > [Once an activity has been socialized, it is impossible to point out, by concrete example, how men in a free market could better conduct…](https://sms4smile.com/quotes/leonard-read/once-an-activity-has-been-socialized-it-is-impossible-to-point-out-by/) [Leonard Read](https://sms4smile.com/quotes/author/leonard-read/) > [Love, like truth and beauty, is concrete. 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You gotta have a concrete lawn before I feel comfortable enough to go in and talk…](https://sms4smile.com/quotes/al-mcguire/i-just-can-t-recruit-where-there-s-grass-around-you-gotta-have-a/) [Al McGuire](https://sms4smile.com/quotes/author/al-mcguire/) > [While much of modern behavioral and social science treats individuals as autonomous agents, it is absolutely clear that the way we think and act…](https://sms4smile.com/quotes/richard-r-nelson/while-much-of-modern-behavioral-and-social-science-treats-individuals/) [Richard R. Nelson](https://sms4smile.com/quotes/author/richard-r-nelson/) > [...it is a very risky thing for anyone to go about proclaiming the truth simply because he finds himself in possession of concrete documentary…](https://sms4smile.com/quotes/jorge-amado/it-is-a-very-risky-thing-for-anyone-to-go-about-proclaiming-the-truth/) [Jorge Amado](https://sms4smile.com/quotes/author/jorge-amado/) > [Perhaps, if science is clever enough to see, it will realize that religion may not be too far off with its concrete imagery; and…](https://sms4smile.com/quotes/robert-lanza/perhaps-if-science-is-clever-enough-to-see-it-will-realize-that/) [Robert Lanza](https://sms4smile.com/quotes/author/robert-lanza/) > [“But what a feeling can come over a man just from seeing the things he believes in and hopes for symbolized in the concrete…](https://sms4smile.com/quotes/ralph-ellison/but-what-a-feeling-can-come-over-a-man-just-from-seeing-the-things-he/) [Ralph Ellison](https://sms4smile.com/quotes/author/ralph-ellison/) > [There's a point in me where it's beyond sad, seeing the state of the world today. 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