June 19, 2024, 5:47 p.m.
Mathematics often evokes feelings of either fascination or trepidation, but one thing is certain: its beauty and elegance have inspired countless individuals throughout history. Whether you're a seasoned mathematician or someone who appreciates the subject from afar, math has a unique way of shaping our understanding of the world and igniting our imagination. In this blog post, we've gathered 41 inspiring math quotes that capture the essence of this profound field, offering wisdom, motivation, and perhaps a spark of curiosity for your next mathematical journey. Dive in and let these timeless words from mathematicians, scientists, and thinkers both elevate and inspire your appreciation for the art of numbers.
1. “A mathematician is a device for turning coffee into theorems” - Paul Erdos
2. “On a plaque attached to the NASA deep space probe we [human beings] are described in symbols for the benefit of any aliens who might meet the spacecraft as “bilaterly symmetrical, sexually differentiated bipeds, located on one of the outer spiral arms of the Milky Way, capable of recognising the prime numbers and moved by one extraordinary quality that lasts longer than all our other urges—curiosity.” - david wells
3. “The good Christian should beware of mathematicians. The danger already exists that mathematicians have made a covenant with the devil to darken the spirit and confine man in the bonds of Hell.” - Saint Augustine
4. “If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” - John von Neumann
5. “The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.” - Albert Einstein
6. “Elodin proved a difficult man to find. He had an office in Hollows, but never seemed to use it. When I visited Ledgers and Lists, I discovered he only taught one class: Unlikely Maths. However, this was less than helpful in tracking him down, as according to the ledger, the time of the class was 'now' and the location was 'everywhere.” - Patrick Rothfuss
7. “Language as putative science. - The significance of language for the evolution of culture lies in this, that mankind set up in language a separate world beside the other world, a place it took to be so firmly set that, standing upon it, it could lift the rest of the world off its hinges and make itself master of it. To the extent that man has for long ages believed in the concepts and names of things as in aeternae veritates he has appropriated to himself that pride by which he raised himself above the animal: he really thought that in language he possessed knowledge of the world. The sculptor of language was not so modest as to believe that he was only giving things designations, he conceived rather that with words he was expressing supreame knowledge of things; language is, in fact, the first stage of occupation with science. Here, too, it is the belief that the truth has been found out of which the mightiest sources of energy have flowed. A great deal later - only now - it dawns on men that in their belief in language they have propagated a tremendous error. Happily, it is too late for the evolution of reason, which depends on this belief, to be put back. - Logic too depends on presuppositions with which nothing in the real world corresponds, for example on the presupposition that there are identical things, that the same thing is identical at different points of time: but this science came into existence through the opposite belief (that such conditions do obtain in the real world). It is the same with mathematics, which would certainly not have come into existence if one had known from the beginning that there was in nature no exactly straight line, no real circle, no absolute magnitude.” - Friedrich Nietzsche
8. “I've got a few ideas," (Amy) admitted. "But I don't know where we're going in the long term. I mean - have you ever thought about what this ultimate treasure could be?""Something cool." (Dan)"Oh, that's real helpful. I mean, what could make somebody the most powerful Cahill in history? And why thirty-nine clues?"Dan shrugged. "Thirty-nine is a sweet number. It's thirteen times three. It's also the sum of five prime numbers in a row - 3,5,7,11,13. And if you add the first three powers of three, 3 to the first, 3 to the second, and s to the third, you get thirty-nine."Amy stared at him. "How did you know that?""What do you mean? It's obvious.” - Rick Riordan
9. “Pray tell us, what's your favorite number?"..."Shiva jumped up to the board, uninvited, and wrote 10,213,223"..."And pray, why would this number interest us?""It is the only number that describes itself when you read it, 'One zero, two ones, three twos, two threes'.” - Abraham Verghese
10. “Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.” - Lord Kelvin
11. “It has become almost a cliché to remark that nobody boasts of ignorance of literature, but it is socially acceptable to boast ignorance of science and proudly claim incompetence in mathematics.” - Richard Dawkins
12. “If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics...” - Roger Bacon
13. “There was a footpath leading across fields to New Southgate, and I used to go there alone to watch the sunset and contemplate suicide. I did not, however, commit suicide, because I wished to know more of mathematics.” - Betrand Russell
14. “The greatest mathematics has the simplicity and inevitableness of supreme poetry and music, standing on the borderland of all that is wonderful in Science, and all that is beautiful in Art.” - Robert Turnbull
15. “The point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.” - Alfred North Whitehead
16. “But in my opinion, all things in nature occur mathematically.” - Rene Decartes
17. “The best way to be appreciative for your life is to live it; don't die for any other reason but love. Dreams are what guide us, art is what defines us, math is makes it all possible, and love is what lights our way.” - Mike Norton
18. “[The Old Astronomer to His Pupil]Reach me down my Tycho Brahe, I would know him when we meet,When I share my later science, sitting humbly at his feet;He may know the law of all things, yet be ignorant of howWe are working to completion, working on from then to now.Pray remember that I leave you all my theory complete,Lacking only certain data for your adding, as is meet,And remember men will scorn it, 'tis original and true,And the obloquy of newness may fall bitterly on you.But, my pupil, as my pupil you have learned the worth of scorn,You have laughed with me at pity, we have joyed to be forlorn,What for us are all distractions of men's fellowship and smiles;What for us the Goddess Pleasure with her meretricious smiles.You may tell that German College that their honor comes too late,But they must not waste repentance on the grizzly savant's fate.Though my soul may set in darkness, it will rise in perfect light;I have loved the stars too fondly to be fearful of the night.What, my boy, you are not weeping? You should save your eyes for sight;You will need them, mine observer, yet for many another night.I leave none but you, my pupil, unto whom my plans are known.You 'have none but me,' you murmur, and I 'leave you quite alone'?Well then, kiss me, -- since my mother left her blessing on my brow,There has been a something wanting in my nature until now;I can dimly comprehend it, -- that I might have been more kind,Might have cherished you more wisely, as the one I leave behind.I 'have never failed in kindness'? No, we lived too high for strife,--Calmest coldness was the error which has crept into our life;But your spirit is untainted, I can dedicate you stillTo the service of our science: you will further it? you will!There are certain calculations I should like to make with you,To be sure that your deductions will be logical and true;And remember, 'Patience, Patience,' is the watchword of a sage,Not to-day nor yet to-morrow can complete a perfect age.I have sown, like Tycho Brahe, that a greater man may reap;But if none should do my reaping, 'twill disturb me in my sleepSo be careful and be faithful, though, like me, you leave no name;See, my boy, that nothing turn you to the mere pursuit of fame.I must say Good-bye, my pupil, for I cannot longer speak;Draw the curtain back for Venus, ere my vision grows too weak:It is strange the pearly planet should look red as fiery Mars,--God will mercifully guide me on my way amongst the stars.” - Sarah Williams
19. “Wherefore, I beseech you let the dog and the onions and these people of the strange and godless names work out their several salvations from their piteous and wonderful difficulties without help of mine, for indeed their trouble is sufficient as it is, whereas an I tried to help I should but damage their cause the more and yet mayhap not live myself to see the desolation wrought.” - Mark Twain
20. “It can only be our familiarity with soap bubbles from our earliest recollections, causing us to accept their existence as a matter of course, that prevents most of us from being seriously puzzled as to why they can be blown at all.” - C. Vernon Boys
21. “In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide -- a relief from daily life, an anodyne to the practical workaday world.” - Paul Lockhart
22. “Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way.” - Paul Lockhart
23. “So how does one go about proving something like this? It's not like being a lawyer, where the goal is to persuade other people; nor is it like a scientist testing a theory. This is a unique art form within the world of rational science. We are trying to craft a "poem of reason" that explains fully and clearly and satisfies the pickiest demands of logic, while at the same time giving us goosebumps.” - Paul Lockhart
24. “I had one class in the morning, the mysteriously named "Further Maths". It was two hours long and so deeply frightening that I think I went into a trance.” - Maureen Johnson
25. “... I succeeded at math, at least by the usual evaluation criteria: grades. Yet while I might have earned top marks in geometry and algebra, I was merely following memorized rules, plugging in numbers and dutifully crunching out answers by rote, with no real grasp of the significance of what I was doing or its usefulness in solving real-world problems. Worse, I knew the depth of my own ignorance, and I lived in fear that my lack of comprehension would be discovered and I would be exposed as an academic fraud -- psychologists call this "imposter syndrome".” - Jennifer Ouellette
26. “The Professor never really seemed to care whether we figured out the right answer to a problem. He preferred our wild, desperate guesses to silence, and he was even more delighted when those guesses led to new problems that took us beyond the original one. He had a special feeling for what he called the "correct miscalculation," for he believed that mistakes were often as revealing as the right answers.” - Yoko Ogawa
27. “Ze všeho nejvíce Gausse rozčilovaly stále nové a nové pokusy různých geometrů dokázat pátý postulát. Nyní, když znal nový geometrický svět, když do něj bezpečně nahlížel, odhaloval v těchto domnělých důkazech chybu vždy hned při prvním pohledu. Jasně viděl, jak geometři tápají v tmách, jak plýtvají silami na těchto beznadějných pokusech - a pomoci jim nemohl; nesměl.” - Petr Vopěnka
28. “The vast majority of us imagine ourselves as like literature people or math people. But the truth is that the massive processor known as the human brain is neither a literature organ or a math organ. It is both and more.” - John Green
29. “A Puritan twist in our nature makes us think that anything good for us must be twice as good if it's hard to swallow. Learning Greek and Latin used to play the role of character builder, since they were considered to be as exhausting and unrewarding as digging a trench in the morning and filling it up in the afternoon. It was what made a man, or a woman -- or more likely a robot -- of you. Now math serves that purpose in many schools: your task is to try to follow rules that make sense, perhaps, to some higher beings; and in the end to accept your failure with humbled pride. As you limp off with your aching mind and bruised soul, you know that nothing in later life will ever be as difficult.What a perverse fate for one of our kind's greatest triumphs! Think how absurd it would be were music treated this way (for math and music are both excursions into sensuous structure): suffer through playing your scales, and when you're an adult you'll never have to listen to music again. And this is mathematics we're talking about, the language in which, Galileo said, the Book of the World is written. This is mathematics, which reaches down into our deepest intuitions and outward toward the nature of the universe -- mathematics, which explains the atoms as well as the stars in their courses, and lets us see into the ways that rivers and arteries branch. For mathematics itself is the study of connections: how things ideally must and, in fact, do sort together -- beyond, around, and within us. It doesn't just help us to balance our checkbooks; it leads us to see the balances hidden in the tumble of events, and the shapes of those quiet symmetries behind the random clatter of things. At the same time, we come to savor it, like music, wholly for itself. Applied or pure, mathematics gives whoever enjoys it a matchless self-confidence, along with a sense of partaking in truths that follow neither from persuasion nor faith but stand foursquare on their own. This is why it appeals to what we will come back to again and again: our **architectural instinct** -- as deep in us as any of our urges.” - Ellen Kaplan
30. “Can I just say that I don't care if two planes or trains or whatever take off from different locations at different times and travel at different speeds. I am not traffic control, so why the hell would I care what time they'd pass each other?” - Devon Ashley
31. “What a shame," signed the Dodecahedron. "They're so very useful. Why, did you know that if a beaver two feet long with a tail a foot and a half long can build a dam twelve feet high and six feet wide in two days, all you would need to build Boulder Dam is a beaver sixty-eight feet long with a fifty-one-foot tail?""Where would you find a beaver that big?" grumbled the Humbug as his pencil point snapped."I'm sure I don't know," he replied, "but if you did, you'd certainly know what to do with him.""That's absurd," objected Milo, whose head was spinning from all the numbers and questions."That may be true," he acknowledged, "but it's completely accurate, and as long as the answer is right, who cares if the question is wrong? If you want sense, you'll have to make it yourself.” - Norton Juster
32. “. . . I still wouldn't be able to control myself around him, and I'm math geek enough to know that equation doesn't work out.” - Robin Brande
33. “Shebna scraped the tablet clean and began drawing circles in the soft clay. "Suppose you had six figs and you ate two. How many would--""Four." Hezekiah answered before Shebna finished, and the tutor's thick black eyebrows rose in surprise."And suppose I had five figs. How many would we--""Nine.""Have you done this before?"Hezekiah thought the question was ridiculous. "I've eaten figs lots of times.” - Lynn Austin
34. “The language of categories is affectionately known as "abstract nonsense," so named by Norman Steenrod. This term is essentially accurate and not necessarily derogatory: categories refer to "nonsense" in the sense that they are all about the "structure," and not about the "meaning," of what they represent.” - Paolo Aluffi
35. “In life two negatives don't make a positive. Double negatives turn positive only in math and formal logic. In life things just get worse and worse and worse.” - Robert McKee
36. “Numbers still gave Astrid pleasure. That was the great thing about numbers: it required no faith to believe that two plus two equaled four. And math never, ever condemned you for your thoughts and desires.” - Michael Grant
37. “So what were your favorite subjects in school?""School?" He leaned back in his chair as though he needed the extra space to think about it. "Probably math. It always made sense. Unlike English, economics, and girls.""And exactly how do you plan on taking over the free world if you don't understand economics?""I'll hire advisers. I'll hire you, in fact.""Okay. Let me know when your army of junior high zombies is ready.” - Janette Rallison
38. “5.4 The question of accumulation. If life is a wager, what form does it take? At the racetrack, an accumulator is a bet which rolls on profits from the success of one of the horse to engross the stake on the next one.5.5 So a) To what extent might human relationships be expressed in a mathematical or logical formula? And b) If so, what signs might be placed between the integers?Plus and minus, self-evidently; sometimes multiplication, and yes, division. But these sings are limited. Thus an entirely failed relationship might be expressed in terms of both loss/minus and division/ reduction, showing a total of zero; whereas an entirely successful one can be represented by both addition and multiplication. But what of most relationships? Do they not require to be expressed in notations which are logically improbable and mathematically insoluble?5.6 Thus how might you express an accumulation containing the integers b, b, a (to the first), a (to the second), s, v?B = s - v (*/+) a (to the first)Or a (to the second) + v + a (to the first) x s = b 5.7 Or is that the wrong way to put the question and express the accumulation? Is the application of logic to the human condition in and of itself self-defeating? What becomes of a chain of argument when the links are made of different metals, each with a separate frangibility?5.8 Or is "link" a false metaphor?5.9 But allowing that is not, if a link breaks, wherein lies the responsibility for such breaking? On the links immediately on the other side, or on the whole chain? But what do you mean by "the whole chain"? How far do the limits of responsibility extend?6.0 Or we might try to draw the responsibility more narrowly and apportion it more exactly. And not use equations and integers but instead express matters in the traditional narrative terminology. So, for instance, if...." - Adrian Finn” - Julian Barnes
39. “. . . we come astonishingly close to the mystical beliefs of Pythagoras and his followers who attempted to submit all of life to the sovereignty of numbers. Many of our psychologists, sociologists, economists and other latter-day cabalists will have numbers to tell them the truth or they will have nothing. . . . We must remember that Galileo merely said that the language of nature is written in mathematics. He did not say that everything is. And even the truth about nature need not be expressed in mathematics. For most of human history, the language of nature has been the language of myth and ritual. These forms, one might add, had the virtues of leaving nature unthreatened and of encouraging the belief that human beings are part of it. It hardly befits a people who stand ready to blow up the planet to praise themselves too vigorously for having found the true way to talk about nature.” - Neil Postman
40. “Oh, figures!' answered Ned. 'You can make figures do whatever you want.” - Jules Verne
41. “The algebraic sum of all the transformations occurring in a cyclical process can only be positive, or, as an extreme case, equal to nothing.[Statement of the second law of thermodynamics, 1862]” - Rudolf Clausius