about math, education, and life - … · math quotes-- h. jackson brown, life's little...

math quotes

Quotationsabout Math, Education, and Life

1. "There is no Royal Road to Geometry." -- Euclid 2. "Mathematics is the Queen of the Sciences, and number theory the queen of mathematics.." -- Carl Friedrich Gauss 3. "We've all heard that a million monkeys banging on a million typewriters will eventually reproduce the entire works of Shakespeare. Now, thanks to the internet, we know this is not true." -- Professor Robert Silensky 4. "One machine can do the work of fifty men. No machine can do the work of one extraordinary man." 5. "If I have seen farther than other men, it is because I have stood on the shoulders of giants." -- Isaac Newton

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math quotes

6. "When I get a little money, I buy books; and if any is left, I buy food and clothes." -- Erasmus 7. "The length of your education is less important than its breadth, and the length of your life is less important than its depth." -- Marilyn vos Savant 8. "Your work is to discover your work and then with all your heart to give yourself to it." -- Buddha 9. "A mind is a fire to be kindled, not a vessel to be filled." -- Plutarch 10. "The greater part of our happiness or misery depends on our dispositions, and not on our circumstances." -- Martha Washington 11. "The world is not given to you by your parents. It is loaned to you by your children." -- Kenyan proverb 12. "If a man hasn't found something he will die for, he isn't fit to live."


math quotes

-- Martin Luther King, Jr. 13. "In a completely rational society, the best of us would be teachers and the rest of us would have to settle for something less, because passing civilization along from one generation to the next ought to be the highest honor and the highest responsibility anyone could have." -- Lee Iacocca 14. "What happens to you in life is not as important as your attitude toward it." 15. "The secret of success is to have more good days than bad days." 16. "The second most important job in the world, second only to being a good parent, is being a good teacher." -- S.G. Ellis 17. "Small deeds done are better than great deeds planned." -- Peter Marshall. 18. "Forget committees. New, noble, world-changing ideas always come from one person working alone."


math quotes

-- H. Jackson Brown, Life's Little Instruction Book 19. "The most important questions in life are, for the most part, really only problems of probability." -- Pierre Simon de La Place 20. "I do not teach, I relate." -- Montaigne 21. "The more you know, the less sure you are." -- Voltaire 22. "Well done is better than well said." -- Ben Franklin 23. "Perfect numbers like perfect men are very rare." -- Descartes 24. "Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency." -- Descartes 25. "Cogito, Ergo Sum. I think, therefore I am." -- Descartes


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26. "The reading of all good books is like a conversation with the finest people of past centuries." -- Descartes 27. "We make a living by what we get, but we make a life by what we give." -- Winston Churchill 28. "Teaching high school, in addition to knowing one's subject matter thoroughly and being able to convey it to others, requires the grit of a long-distance runner, the stamina of a boxer going 15 rounds, the temperament of a juggler and the street smarts of a three-card monte dealer." -- Professor Larry Cuban 29. "St. Augustine had good insight on the division of labor between God and his children when he wrote that we should work as if everything depended on our efforts and pray as if everything depended on the Almighty." 30. "If a doctor, lawyer, or dentist had 25 people in his office at one time, all of whom had different needs, and some of whom didn't want to be there and were causing trouble, and the doctor, lawyer,


math quotes

or dentist, without assistance, had to treat them all with professional excellence for nine months, then he might have some conception of the classroom teacher's job." -- Colman McCarthy in The Washington Post 31. "Old principals never die, they just lose their faculties." 32. "How you teach is more important than what you teach." 33. "Life is too short for long division." 34. "I hear and I forget. I see and I remember. I do and I understand." -- Chinese Proverb. 35. "Any teacher that can be replaced by a computer should be replaced by a computer." 36. "Old math teachers never die, they just tend to infinity." 37. "Old teachers never die; they just lose their class." 38. "Natural numbers are better for your health."


math quotes

39. "Decimals have a point." 40. "Calculus has its limits." 41. "Geometry is just plane fun." 42. "Polar coordinates aren't just arctic fashions." 43. "The only time a question should be asked is when all other possibilities of finding the answer for yourself have been eliminated." -- Ben Franklin 44. "A great memory does not make a mind, any more than a dictionary is a piece of literature." -- John H. Newman 45. "Old math teachers never die; they just pass into another sphere." 46. "Knowledge exists to be imparted." -- Emerson 47. "An educational system isn't worth a great deal if it teaches young people how to make a living and doesn't teach them how to live." -- Charles Snitow.


math quotes

48. "Life is a ladder: Every step we take is either up or down." -- Brewster 49. "Give a man a fish and you feed him for a day. Teach a man to fish and you feed him for a lifetime." 50. "Give a man a fish and you feed him for a day. Teach a man to fish and you will realize why some people think golf is exciting." 51. "Small minds discuss persons. Average minds discuss events. Great minds discuss ideas. Really great minds discuss mathematics." 52. "There is no branch of mathematics, however abstract, which may not someday be applied to the phenomena of the real world." -- Nicolai Lobachevsky 53. "Logic is the anatomy of thought." -- John Locke 54. "I tell them if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh."


math quotes

-- Thomas Mann 55. "The mathematical rules of the universe are visible to men in the form of beauty." -- John Michel 56. "It is easier to square a circle than to get round a mathematician." -- de Morgan 57. "The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal." -- William James 58. "We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors." -- Bruce Joyce 59. "It is impossible to be a mathematician without being a poet in soul." -- Sophia Kovalevskaya 60. "All the effects of nature are only mathematical results of a small number of immutable laws." -- Pierre Simon de La Place


math quotes

61. "Music is the pleasure the human mind experiences from counting without being aware that it is counting." -- Leibniz 62. "The essence of mathematics is not to make simple things complicated, but to make complicated things simple." -- S. Gudder 63. "I recoil with dismay and horror at this lamentable plague of functions which do not have derivatives." -- Charles Hermite 64. "The value of a problem is not so much coming up with the answer as in the ideas and attempted ideas it forces on the would be solver." -- I.N. Herstein 65. "The infinite! No other question has ever moved so profoundly the spirit of man." -- David Hilbert 66. "The object of mathematics is the honor of the human spirit. -- C. Jacobi


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67. "One person's constant is another person's variable." -- Susan Gerhart 68. "People who don't count won't count." -- Anatole France 69. "An educated mind is, as it were, composed of all the minds of preceding ages." -- de Fontenelle 70. "Do not worry too much about your difficulties in mathematics, I can assure you that mine are still greater." -- Albert Einstein 71. "Mathematics is the gate and key to the sciences." -- Roger Bacon 72. "Logic is invincible, because in order to combat logic it is necessary to use logic." -- Pierre Boatroux 73. "Algebra is generous; she often gives more than is asked of her." -- D'Alembert


math quotes

74. "A mathematician is a blind man in a dark room looking for a black cat which isn't there." -- Charles Darwin (quoted by Jaime Escalante in the film, STAND and DELIVER) 75. "Pure mathematics is, in its way, the poetry of logical ideas." -- Albert Einstein 76. "Imagination is more important than knowledge." -- Albert Einstein 77. "The advancement and perfection of mathematics are intimately connected with the prosperity of the state." -- Napoleon 78. "The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word." -- W. F. Osgood 79. "The notion of infinity is our greatest friend; it is also the greatest enemy of our peace of mind." -- James Pierpont


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80. "Numbers are the highest degree of knowledge. It is knowledge itself." -- Plato 81. "Geometry existed before creation." -- Plato 82. "God ever geometrizes." -- Plato 83. "Let no one ignorant of geometry enter here." -- inscription above Plato's Academy 84. "Circles to square and cubes to double would give a man excessive trouble." -- Matthew Prior 85. "Wherever there is number, there is beauty." -- Proclus 86. "The real voyage of discovery consists not in seeking new landscapes, but in having new eyes." -- Marcel Proust 87. "There is geometry in the humming of the string." -- Pythagoras


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88. "What would life be without arithmetic but a scene of horrors?" -- Sydney Smith 89. "A mathematician who is not also something of a poet will never be a complete mathematician." -- Karl Weierstrass. 90. "Mathematics is the science of definiteness, the necessary vocabulary of those who know." -- W. J. White 91. "The pursuit of mathematics is a divine madness of the human spirit." -- Alfred North Whitehead 92. "Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world." -- Alfred North Whitehead 93. "The science of Pure Mathematics, in its modern developments, may claim to be the most original creation of the human spirit." -- Alfred North Whitehead 94. "Black holes are where God divided by zero."


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-- Steven Wright 95. "The best teacher is not the one who knows most, but the one who is most capable of reducing knowledge to that simple compound of the obvious and wonderful ..." -- H.L. Mencken 96. "Math class is tough." -- Barbie Doll (1992] 97. "After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way." -- Isaac Asimov 98. "It is clear that the chief end of mathematical study must be to make the students think." -- John Wesley Young 99. "Only professional mathematicians learn anything from proofs. Other people learn from explanations." -- Ralph Boas


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100. "I must study politics and war that my sons may have liberty to study mathematics and philosophy." -- John Adams 101. "Mathematics is not a spectator sport!" -- Karl J. Smith 102. "He who can properly define and divide is to be considered a god." -- Plato 103. "The Good Lord made all the integers; the rest is man's doing." -- Leopold Kronecker 104. "Medicine makes people ill, mathematics makes them sad, and theology makes them sinful." -- Martin Luther 105. "There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else -- but persistent." -- Raoul Bott 106. "Mathematics is the life of the gods." -- Novalis (Friedrich von Hardenberg)


math quotes

107. "He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side." -- Plato 108. "Mathematics consists in proving the most obvious thing in the least obvious way." -- George Polya 109. "Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different." -- Johann Wolfgang von Goethe 110. "How happy the lot of the mathematician. He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve." -- W.H. Auden 111. "Obvious is the most dangerous word in mathematics." -- E.T. Bell 112. "Mathematics is written for mathematicians." -- Copernicus


math quotes

113. "I was x years old in the year x2" -- Augustus De Morgan (when asked about his age) 114. "Each problem that I solved became a rule which served afterwards to solve other problems." -- Rene Descartes 115. "It is not enough to have a good mind. The main thing is to use it well." -- Descartes 116. "There are three kinds of lies: lies, damned lies, and statistics." -- Benjamin Disraeli 117. "Everything that is really great and inspiring is created by the individual who can labor in freedom." -- Albert Einstein 118. "Science without religion is lame; religion without science is blind." -- Albert Einstein 119. "The mathematician has reached the highest rung on the ladder of human thought."


math quotes

-- Havelock Ellis 120. "Whenever you can, count." -- Sir Francis Galton 121. "Mathematics is a game played according to certain simple rules with meaningless marks on paper." -- David Hilbert 122. "I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; in short, in matters vegetable, animal, and mineral, I am the very model of the modern Major General." -- W.S. Gilbert in the Pirates of Penzance 123. "Mathematics is the science of what is clear by itself." -- Carl Jacobi 124. "Perhaps the greatest paradox of all is that there are paradoxes in mathematics." -- Kasner and Newman 125. "No human investigation can be called real science if it cannot be demonstrated mathematically."


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-- Leonardo da Vinci 126. "Who has not been amazed to learn that the function y = ex, like a phoenix rising from its own ashes, is its own derivative?" -- Francois le Lionnais 127. "All great therorems were discovered after midnight." -- Adrian Mathesis 128. "In mathematics, you don't understand things. You just get used to them." -- Johann von Neumann 129. "Life is good for only two things: discovering mathematics and teaching mathematics." -- Simeon Poisson 130. "A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction." -- Tolstoy 131. "I'm sorry to say that the subject I most disliked was mathematics. I have thought about it. I think the reason was that mathematics leaves no


math quotes

room for argument. If you made a mistake, that was all there was to it." -- Malcolm X 132. "Mathematics is no more computation than typing is literature." -- John Allen Paulos 133. "There are no solved problems; there are only problems that are more or less solved." -- Henri Poincare 134. "The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful." -- Henri Poincare 135. "Beauty in mathematics is seeing the truth without effort." -- George Polya 136. "Teaching is the royal road to learning." -- Jassamyn West 137. "We only think when confronted with a problem." -- John Dewey


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138. "The life of a mathematician is dominated by an insatiable curiosity, a desire bordering on passion to solve the problems he is studying." -- Jean Dieudonne 139. "One's work may be finished some day, but one's education never." -- Alexandre Dumas 140. "Geometry is the foundation of all painting." -- Albrecht Durer 141. "The arithmetic of life does not always have a logical answer." -- Inshirah Abdur-Rauf 142. "A teacher affects eternity; he can never tell where his influence stops." -- Henry Brooks Adams 143. "I am not a teacher, I am an awakener." -- Robert Frost 144. "It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts." -- Paul Halmos


math quotes

145. "Mathematics should be fun." -- Peter J. Hilton 146. "I write rhymes with addition and algebra, mental geometry." -- Ice-T 147. "There is a famous formula, perhaps the most compact and famous of all formulas -- developed by Euler from a discovery of de Moivre: e(i * pi) + 1 = 0... It appeals equally to the mystic, the scientist, the philosopher, the mathematician." -- Edward Kasner and James Newman 148. "God exists since mathematics is consistent and the devil exists since we cannot prove the consistency." -- Morris Kline 149. "Science is what we understand well enough to explain to a computer. Art is everything else we do." -- Donald Knuth 150. "Be ashamed to die until you have won some victory for humanity." -- Horace Mann


math quotes

151. "Tell me and I'll forget. Show me and I may not remember. Involve me, and I'll understand." -- Native American saying 152. "Statistics are human beings with the tears wiped away." -- Paul Brodeur 153. "Education is what survives when what has been learned has been forgotten." -- B. F. Skinner 154. "Calculus is the most powerful weapon of thought yet devised by the wit of man." -- W. B. Smith 155. "Nature's great book is written in mathematics." -- Galileo 156. "Numbers constitute the only universal language." -- Nathanael West 157. "To err is human, but to really foul things up requires a computer."


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158. "The essence of mathematics is in its freedom." -- Georg Cantor 159. "Mathematics, in one view, is the science of infinity." -- P. Davis and R. Hersh 160. "From the very beginning of his education, the child should experience the joy of discovery." -- Alfred North Whitehead 161. "Mathematics -- this may surprise or shock some -- is never deductive in creation." -- Paul Halmos 162. "Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition." -- Morris Kline 163. "I have discovered a truly marvelous proof of this, which however the margin is not large enough to contain." -- Pierre de Fermat, refering to the result known as Fermat's Last Theorem 164. "How can it be that mathematics, a product of


math quotes

human thought independent of experience, is so admirably adapted to the objects of reality?" -- Albert Einstein 165. "Our greatest natural resource is the minds of our children." -- Walt Disney 166. "The moving power of mathematical invention is not reasoning but imagination." -- Augustus de Morgan 167. "Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more." -- Albert Einstein 168. "Every human activity, good or bad, except mathematics, must come to an end." -- Paul Erdos 169. "We are all concerned about the future of American education. But as I tell my students, you do not enter the future -- you create the future. The future is created through hard work." -- Jaime Escalante 170. "I never got a pass mark in math ... Just


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imagine -- mathematicians now use my prints to illustrate their books." -- M.C. Escher 171. "Mighty is geometry; joined with art, resistless." -- Euripides 172. "Getting the degree meant more to me than an NCAA title, being named All-American or winning an Olympic gold medal." -- Patrick Ewing 173. "The calculus is one of the greatest edifices constructed by mankind." -- Cambridge Conference on School Mathematics 174. "Statistics are no substitute for judgment." -- Henry Clay 175. "Alcohol and Calculus Don't Mix; Never Drink and Derive." 176. "You don't have to teach people to be human. You need to teach them how to stop being inhuman." -- Eldridge Cleaver


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177. "By the end of the first month of the 1995 session, each senator will have made more money than any person who works 40 hours a week at minimum wage for the entire year." -- Bill Clinton 178. "The title which I most covet is that of teacher. The writing of a research paper and the teaching of freshman calculus, and everything in between, falls under this rubric. Happy is the person who comes to understand something and then gets to explain it." -- Marshall Cohen 179. "All mathematicians share ... a sense of amazement over the infinite depth and the mysterious beauty and usefulness of mathematics." -- Martin Gardner 180. "Mathematical knowledge adds vigour to the mind, frees it from prejudice, credulity, and superstition." -- John Arbuthnot 181. "The mathematical sciences particularly exhibit order, symmetry, and limitations; and these are the greatest forms of the beautiful."


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-- Aristotle 182. "My philosophy of learning, like my blood type, is "be positive." Keeping student attitudes positive is vital to their success in learning." -- David Pleacher 183. "Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind." -- Hermann Weyl 184. "A diagram is worth a thousand proofs." -- Dr. Carl E. Linderholm 185. "Where the pessimist sees a half-closed interval, the optimist sees a half-open interval." 186. "Discovery lessons, students writing to learn mathematics, the teaching of so-called general problem solving concepts, field trips, math lab lessons, alternate assessments, collaborative partner tests, student presentations, and open-ended problems should all be used sparingly. I use some of them, but they have limited value. Pencil-and-paper analytic solutions are the heart of mathematics education." --Michael Stueben in Twenty Years Before the


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Blackboard 187. "There are 10 types of people in the world -- Those who understand binary, and those who don't." 188. "Character is what you are when no one is watching." 189. "Morality, like art, consists in drawing a line somewhere." 190. "The heart of education is education of the heart." 191. "Education is worth little if it teaches only how to make a living rather than how to make a life." -- Mary Hatwood Futrell 192. "I have never let my schooling interfere with my education." -- Mark Twain 193. "Life is 10% what happens to us and 90% how we respond to it." -- Charles Swindoll


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194. "If you find a path with no obstacles, it probably doesn't lead anywhere." -- Frank A. Clark 195. "Arithmetic is being able to count up to twenty without taking off your shoes." -- Mickey Mouse 196. "Although I am absolutely without training or knowledge in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists." -- M.C. Escher 197. "The only angle from which to approach a problem is the TRY-Angle." 198. "Education is what you get from reading the small print. Experience is what you get from not reading it!" 199. "Newton's First Law: Somedays it's better to stay in bed." 200. "Education's purpose is to replace an empty mind with an open one." -- Malcolm S. Forbes


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201. "The shortest distance between two points is under construction." -- Bill Sanderson 202. "He who laughs, lasts." -- Mary Pettibone Poole 203. "Positive attitudes bring positive results. Negative attitudes bring negative results." 204. "Geometry is the science of correct reasoning on incorrect figures." -- George Polya 205. "If there is a problem you can't solve, then there is an easier problem you can't solve: find it." -- George Polya 206. "A GREAT discovery solves a great problem but there is a grain of discovery in any problem." -- George Polya 207. "The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea." -- George Polya 208. "There are many questions which fools can


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ask that wise men cannot answer." -- George Polya 209. "I am too good for philosophy and not good enough for physics. Mathematics is in between." -- George Polya 210. "God wrote the universe in the language of mathematics." -- Galileo 211. "If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is." 212. "Inspiration is the impact of a fact on a well-prepared mind." -- Louis Pasteur 213. "New facts often trigger new ideas." -- Osborn 214. "What is now proved was once only imagined." -- Proverb. 215. "Men who say it cannot be done should not interrupt those who are doing it."


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216. "If you go fishing you may not catch any fish. If you don’t go fishing, you’ll never catch any fish." -- Alex F. Osborn 217. "Some people study all their life, and at their death have learned everything but to think." -- Demergue 218. "The past must be a springboard, not a sofa." -- Harold MacMillan 219. "A problem well stated is half-solved." -- John Dewey 220. "The best way to have a good idea is to have lots of ideas." -- Linus Pauling 221. "Daring ideas are like chessmen moved forward; they may be beaten but they may start a winning game." -- Goethe 222. "Questions are creative acts of intelligence." -- Frank Kingdon


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223. "A learned man is an idler who kills time by study." -- George Bernard Shaw 224. "Nothing was ever achieved without enthusiasm." -- Emerson 225. "Our minds are finite, and even in these circumstances of finitude we are surrounded by possibilities that are infinite; and the purpose of human life is to grasp as much as we can out of that infinitude." -- Alfred North Whitehead 226. "From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician." -- James Hopwood Jeans 227. "It is truth very certain that, when it is not in one's power to determine what is true, we ought to follow what is more probable." -- Rene Descartes 228. "Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is


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true." -- Bertrand Russell 229. "But in the new (math) approach, the important thing is to understand what you're doing, rather than to get the right answer." -- Tom Lehrer 230. "But don't panic. Base 8 is just like Base 10 really. If you're missing two fingers." -- Tom Lehrer 231. "Sufficient unto the day is the rigor thereof." -- Eliakim H. Moore 232. "Mathematics is a body of knowledge, but it contains no truths." - - Morris Kline 233. "Mathematics is on the artistic side a creation of new rhythms, orders, designs, harmonies, and on the knowledge side, is a systematic study of various rhythms, orders, designs, and harmonies." -- William L. Schaaf 234. "Mathematics -- the subtle fine art." -- Jamie Byrnie Shaw


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235. "The mathematician's patterns, like the painter's or poet's, must be beautiful. The ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: There is no permanent place in the world for ugly mathematics." -- G. H. Hardy 236. "Mathematics is the science which uses easy words for hard ideas." -- Edward Kasner and James R. Newman 237. "Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life." -- Cassius Jackson Keyser 238. "The merit of painting lies in the exactness of reproduction. Painting is a science and all sciences are based on mathematics. No human inquiry can be a science unless it pursues its path through mathematical exposition and demonstration." -- Leonardo Da Vinci 239. "Experience is the hardest kind of teacher. It gives you the test first, and the lesson afterward." 240. "Not everything that counts can be counted.


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Not everything that can be counted counts." -- Albert Einstein 241. "I had been to school ... and could say the multiplication table up to 6 x 7 = 35, and I don't reckon I could ever get any further than that if I was to live forever. I don't take no stock in mathematics anyway." -- Huckleberry Finn (by Mark Twain) 242. "The creator of the universe works in mysterious ways. But he uses a base ten counting system and likes round numbers." -- Scott Adams 243. "42.7% of all statistics are made up on the spot." -- Steven Wright 244. "Five out of four people have trouble with fractions." -- Steven Wright 245. "Two and two the mathematician continues to make four, in spite of the whine of the amateur for three, or the cry of the critic for five." -- James McNeill Whistler


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246. "Angling may be said to be so like the mathematics that it can never be fully learnt." -- Izaak Walton 247. "Mathematics is the science which draws necessary conclusions." -- Benjamin Pierce 248. "Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics." -- Leonardo da Vinci 249. "Mathematics, rightly viewed, possesses not only truth, but supreme beauty." -- Bertrand Russell 250. "Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the actual world, but every possible world, must conform." -- Bertrand Russell 251. "The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty." -- Sir D'Arcy Wentworth Thompson


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252. "Numerical precision is the very soul of science." -- Sir D'Arcy Wentworth Thompson 253. "All the mathematical sciences are founded on the relations between physical laws and laws of numbers." -- James Clerk Maxwell 254. "I have hardly ever known a mathematician who was capable of reasoning." -- Plato 255. "Histories make men wise; poets witty; the mathematics, subtile; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend." -- Francis Bacon 256. "A few honest men are better than numbers." -- Oliver Cromwell 257. "Q.E.D. (Quod Erat Demonstrandum: Which was to be proven.)" -- Euclid 258. "Population, when unchecked, increases in a geometrical ratio. Subsistence increases only in an


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arithmetical ratio." -- Thomas Robert Malthus 259. "The theory of probabilities is at bottom nothing but common sense reduced to calculus." -- Pierre de La Place 260. "Now don't be sad, 'cause two out of three ain't bad." -- Meatloaf 261. "Statistics means never having to say you're certain." 262. "Without geometry life is pointless." 263. "The work of a teacher -- exhausting, complex, idiosyncratic, never twice the same -- is at its heart, an intellectual and ethical enterprise. Teaching is the vocation of vocations..." -- William Ayres 264. "Beauty is the first test: there is no permanent place in the world for ugly mathematics." -- Godfrey Harold Hardy, A Mathematician's Apology (1940) 265. "We think it's about little techniques and


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tricks, but techniques only take you so far. We need teachers who care about kids, who care about what they teach, and who can communicate with kids." -- Parker I. Palmer, The Courage to Teach 266. "Physicists defer only to mathematicians, and mathematicians defer only to God." 267. "Biologists think they are biochemists, Biochemists think they are Physical Chemists, Physical Chemists think they are Physicists, Physicists think they are Gods, And God thinks he is a Mathematician." 268. "Old math teachers never die -- they just lose their functions." 269. "Ganas is all you need." [Ganas is Spanish for passion, guts, determination, desire] -- Jaime Escalante 270. "I do not believe in the gifted. If [the students] have ganas [Spanish for desire], I can make them do it." -- Jaime Escalante


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271. "Genius is one per cent inspiration, ninety-nine per cent perspiration." -- Thomas Alva Edison 272. "To teach is to learn." 273. "To learn, you must want to be taught." -- Proverbs 12:1 274. "Failure is the opportunity to begin again, more intelligently." -- Henry Ford 275. "To infinity and beyond." -- Buzz Lightyear 276. "I think, therefore I laugh." -- John Allen Poulos 277. "I do not think -- therefore I am not." 278. "Philosophy is a game with objectives and no rules. Mathematics is a game with rules and no objectives." 279. "The good Christian should beware of mathematicians and all those who make empty prophecies. The danger already exists that


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mathematicians have made a covenant with the devil to darken the spirit and confine man in the bonds of Hell." -- St. Augustine 280. "The lottery is a tax on people who are bad at math." 281. "With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the product of a long evolution that was neither initiated nor terminated by Newton and Leibniz, but in which both played a decisive part." -- Richard Courant and Herbert Robbins 282. "The whole apparatus of the calculus takes on an entirely different form when developed for the complex numbers." -- Keith Devlin 283. "It is clear that Economics, if it is to be a science at all, must be a mathematical science ... simply because it deals with quantities... As the complete theory of almost every other science involves the use of calculus, so we cannot have a true theory of Economics without its aid."


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-- W. S. Jevons 284. "The Mean Value Theorem is the midwife of calculus - not very important or glamorous by itself, but often helping to deliver other theorems that are of major significance." -- E. Purcell and D. Varberg 285. "But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not." -- Johann Bernoulli 286. "You live your life between your ears." -- Bebe Moore Campbell 287. "'What's one and one and one and one and one and one and one and one and one and one?' 'I don't know,' said Alice. 'I lost count.' 'She can't do addition,' said the Red Queen." -- Lewis Carroll 288. "Education is the key to unlock the golden door of freedom." -- George Washington Carver


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289. "Infinity converts the possible into the inevitable." -- Norman Cousins 290. "Education is learning more than it is being taught. It's the chemistry of curiosity exposed to information. In that sense all of life is potentially school. And even I can pass that." -- Bob Guiccione, Jr. 291. "The mathematician's best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another." -- Gosta Mittag-Leffler 292. "How many pizzas are consumed each year in the United States? How many words have you spoken in your life? How many different peoples names appear in the New York Times each year? How many watermelons would fit inside the U.S. Capitol building? What is the volume of all the human blood in the world?" -- John A. Paulos 293. "[Paradoxes of the infinite arise] only when we attempt, with our finite minds, to discuss the


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infinite, assigning to it those properties which we give to the finite and limited;" -- Galileo Galilei 294. "We must say that there are as many squares as there are numbers." -- Galileo Galilei 295. "The study of mathematics is apt to commence in disappointment." -- Alfred North Whitehead 296. "Bees ... by virtue of a certain geometrical forethought ... know that the hexagon is greater than the square and the triangle, and will hold more honey for the same expenditure of material." -- Pappas 297. "The Universe is a grand book which cannot be read until one first learns which it is composed. It is written in the language of mathematics..." -- Galilei Galileo 298. "I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not


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yet occurred to me, by other mathematicians, now living or yet unborn." -- Archimedes 299. "Education is indoctrination if you're white; subjugation if you're black." -- James Baldwin 300. "The purpose of education...is to create in a person the ability to look at the world for himself, to make his own decisions." -- James Baldwin 301. "No set of principles can guarantee a recipe for good practice (in teaching)." -- D. Ball and T. Schroeder 302. "All of us are slaves to the prejudices of our own dimension." -- Thomas Banchoff (in introduction to Flatland) 303. "The calculus is the story this [the Western] world first told itself as it became the modern world." -- David Berlinski 304. "The definition of a limit is essentially his


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[Cauchy's] creation and is as much of a miracle as those fantastic Swiss clocks of the period in which hundreds of gleaming cogs are made to celebrate not only the time and date but the phases of the moon." -- David Berlinski 305. "Everything tries to be round." -- Black Elk 306. "Somebody came up to me after a talk I had given, and say, 'You make mathematics seem like fun.' I was inspired to reply, 'If it isn't fun, why do it?'" -- Ralph P. Boas 307. "Major paradoxes provide food for logical thought for decades and sometimes centuries." -- Nicholas Bourbaki 308. "Mathematics is the handwriting on the human consciousness of the very Spirit of Life itself." -- Claude Bragdon 309. "The schools are a great theater in which we play out the conflicts in the culture." -- David Cohen and Barbara Neufeld


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310. "Learning without thought is labor lost; thought without learning is perilous." -- Confucius 311. "Starting in the seventeenth century, the general theory of extreme values -- maxima and minima -- has become one of the systematic integrating principles of science." -- Richard Courant and Herbert Robbins 312. "Every new body of discovery is mathematical in form, because there is no other guidance we can have." -- Charles Darwin 313. "One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories." -- P.J. Davis 314. "Common integration is only the memory of differentiation..." -- A. De Morgan 315. "I see it, but I don't believe it." [On Cantor's proof that the points in the unit interval were in one-to-one correspondence with points in the unit


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square.] -- Richard Dedekind 316. "Numbers are the free creation of the human mind." -- Richard Dedekind 317. "The linear-programming was -- and is -- perhaps the single most important real-life problem." -- Keith Devlin 318. "There can be very little of present-day science and technology that is not dependent on complex numbers in one way or another." -- Keith Devlin 319. "Failure is instructive. The person who really thinks learns quite as much from his failures as from his successes." -- John Dewey 320. "Education is not a preparation for life, education is life itself." -- John Dewey 321. "One of the most important concepts in all of mathematics is that of function."


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-- T.P. Dick and C.M. Patton 322. "The life of a mathematician is dominated by an insatiable curiosity, a desire bordering on passion to solve the problems he is studying." -- Jean Dieudonne 323. "When I was four years old they tried to test my IQ. They showed me a picture of three oranges and a pear. They asked me, 'which one is different and does not belong?' They taught me different was wrong." -- Ani DiFranco 324. "you got to look outside-- your eyes-- you got to think outside-- your brain-- you got to walk outside-- your life-- to where the neighborhoods change." -- Ani DiFranco 325. "A book on the new physics, if not purely descriptive of experimental work, must essentially be mathematical." -- P.A.M. Dirac 326. "Success isn't permanent, and failure isn't fatal." -- Mike Ditka


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327. "If there's no struggle, there's no progress." -- Frederick Douglass 328. "How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth?" -- Sir Arthur Conan Doyle 329. "Education must not simply teach work - it must teach life." -- W.E.B. DuBois 330. "How is it that little children are so intelligent and men so stupid? It must be education that does it." -- Alexandre Dumas 331. "One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination." -- Freeman Dyson 332. "Proof is an idol before which the mathematician tortures himself." -- Sir Arthur Eddington


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333. "There ain't no rules around here! We're trying to accomplish something!" -- Thomas Edison 334. "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science." -- Albert Einstein 335. "It is the supreme art of the teacher to awaken joy in creative expression and knowledge." -- Albert Einstein 336. "The series of integers is obviously an invention of the human mind, a self-created tool which simplifies the ordering of certain sensory experiences." -- Albert Einstein 337. "I have no particular talent. I am only inquisitive." -- Albert Einstein 338. "In the beginning (if there was such a thing), God created Newton’s laws of motion together with the necessary masses and forces. This is all; everything beyond this follows from the development of appropriate mathematics methods


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by means of deduction." -- Albert Einstein 339. "The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms." -- Albert Einstein 340. "The value of an education ... is not the learning of many facts but the training of the mind to think something that cannot be learned from textbooks." -- Albert Einstein 341. "Every great and commanding moment in the annals of the world is the triumph of some enthusiasm." -- Ralph Waldo Emerson 342. "It will be another million years, at least, before we understand the primes." -- Paul Erdos 343. "Science and art sometimes can touch one another, like two pieces of the jigsaw puzzle which is our human life, and that contact may be made across the boderline between the two respective


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domains." -- M.C. Escher 344. "Father [M.C. Escher] had difficulty comprehending that the working of his mind was akin to that of a mathematician. He greatly enjoyed the interest in his work by mathematicians and scientists, ..." -- George Escher 345. "For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear." -- Leonhard Euler 346. "After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential." -- Leonhard Euler 347. "Mathematics serves as a handmaiden for the explanation of the quantitative situations in other subjects, such as economics, physics, navigation, finance, biology and even the arts."


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-- H. F. Fehr 348. "On the other hand, it is impossible for a cube to be written as a sum of two cubes or a fourth power to be written as a sum of two fourth powers or, in general for any number which is a power greater than the second to be written as a sum of two like powers. For this I have discovered a truly wonderful proof, but the margin is too small to contain it." -- P. Fermat 349. "The journey for an education starts with a childhood question." -- David L. Finn 350. "Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them." -- Joseph Fourier 351. "The deep study of nature is the most fruitful source of mathematical discoveries." -- Jean-Baptist-Joseph Fourier 352. "What science can there be more noble, more excellent, more useful for men, more admirably high and demonstrative, than this of mathematics?"


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-- Benjamin Franklin 353. "A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful?" -- Martin Gardner 354. "One would be hard put to find a set of whole numbers with a more fascinating history and more elegant properties surrounded by greater depths of mystery--and more totally useless--than the perfect numbers." -- Martin Gardner 355. "The most important outcome of education is to help students to become independent of formal education." -- Paul E. Gray 356. "The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method, ..." -- Paul Halmos 357. "A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept, and when I want to learn something new, I make it my first job to


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build one." -- Paul Halmos 358. "The purpose of computing is insight, not numbers!" -- R. W. Hamming 359. "A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas." -- G. H. Hardy 360. "In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generation adds a new story to the old structure." -- Herman Henkel 361. "The struggle to become a better teacher begins all over again with the advent of each new class." -- Martin Henley 362. "Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I haven't that much time to


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squander on a probable failure." -- David Hilbert 363. "The discoveries of Newton have done more for England and for the race, than has been done by whole dynasties of British monarchs." -- Thomas Hill 364. "The infinite in mathematics is alway unruly unless it is properly treated." -- Edward Kasner and James Newman 365. "Where there is matter, there is geometry." -- Johannes Kepler 366. "The greater our knowledge increases, the greater our ignorance unfolds." -- John F. Kennedy 367. "...it is the greatest achievement of a teacher to enable his students to surpass him." -- John Kemeny 368. "The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education." -- Martin Luther King, jr.


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369. "Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time." -- Sophus Lie 370. "The Mandelbrot set is the most complex mathematical object known to mankind." -- Benoit Mandelbrot 371. "The teacher who is attempting to teach without inspiring the pupil to learn is hammering on cold iron." -- Horace Mann 372. "God created infinity, and man, unable to understand infinity, had to invent finite sets." -- Gian Carlo Rota 373. "We cannot hope that many children will learn mathematics unless we find a way to share our enjoyment and show them its beauty as well as its utility." -- Mary Beth Ruskai 374. "Three passions ... have governed my life: the


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longing for love, the search for knowledge, and the unbearable pity for the suffering of mankind." -- Bertrand Russell 375. "Zeno was concerned with three problems...These are the problem of the infinitesimal, the infinite, and continuity." -- Bertrand Russell 376. "You get what you settle for." -- Louise Sawyer, from the movie Thelma and Louise 377. "Think! Think and wonder. Wonder and think. How much water can 55 elephants drink?" -- Dr. Seuss 378. "If you hold yourself up to your children, hold yourself up as an object lesson and not as an example." -- George Bernard Shaw 379. "One can invent mathematics without knowing much of its history. One can use mathematics without knowing much, if any, of its history. But one cannot have a mature appreciation of mathematics without a substantial knowledge of its history."


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-- Abe Shenitzer 380. "Mathematics, in the common lay view, is a static discipline based on formulas...But outside the public view, mathematics continues to grow at a rapid rate...the guide to this growth is not calculation and formulas, but an open ended search for pattern." -- Lynn A. Steen 381. "What humans do with the language of mathematics is to describe patterns..." -- Lynn A. Steen 382. "There is a difference between not knowing and not knowing yet." -- Shelia Tobias 383. "Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it." -- Tolstoy 384. "Out of the public schools comes the greatness of the nation." -- Mark Twain 385. "Calculators can only calculate - they cannot


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do mathematics." -- John A. Van de Walle 386. "There is an astonishing imagination even in the science of mathematics... We repeat, there is far more imagination in the head of Archimedes than in that of Homer." -- Francios Voltaire 387. "Truth is much too complicated to allow anything but approximations." -- John von Neumann 388. "Symmetry, as wide or as narrow as you define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection." -- Hermann Weyl 389. "I don't know if I should care for a man who made life easy; I should want someone who made it interesting." -- Edith Wharton 390. "If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy." -- Alfréd Rényi


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391. "A mathematician's reputation rests on the number of bad proofs he has given." -- A. S. Besicovitch 392. "Statistics: the mathematical theory of ignorance." -- Morris Kline 393. "Poetry is as exact a science as geometry." -- Gustave Flaubert 394. "God is a child; and when he began to play, he cultivated mathematics. It is the most godly of man's games." -- V. Erath 395. "There still remain three studies suitable for free man. Arithmetic is one of them." -- Plato 396. "Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state." -- Plato 397. "In the fall of 1972 President Nixon announced that the rate of increase of inflation was


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decreasing. This was the first time a sitting president used the third derivative to advance his case for reelection." -- Hugo Rossi 398. "Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin 399. "With me everything turns into mathematics." -- Descartes 400. "The real danger is not that computers will begin to think like men, but that men will begin to think like computers." -- Sydney J. Harris 401. "God not only plays dice. He also sometimes throws the dice where they cannot be seen." -- Stephen Hawking 402. "One should always generalize." -- Carl Jacobi 403. "The greatest unsolved theorem in mathematics is why some people are better at it than others." -- Adrian Mathesis


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404. "Logic doesn't apply to the real world." -- Marvin Lee Minsky 405. "You know we all became mathematicians for the same reason: we were lazy." -- Max Rosenlicht 406. "Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be." -- Bertrand Russell 407. "If you would make a man happy, do not add to his possessions but subtract from the sum of his desires." -- Seneca 408. "We think in generalities, but we live in details." -- Alfred North Whitehead 409. "Learning to solve problems is the principal reason for studying mathematics." -- National Council of Teachers of Mathematics 410. "High achievement always takes place in the


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framework of high expectation." -- Jack Kinder 411. "To state a theorem and then to show examples of it is literally to teach backwards." -- E. Kim Nebeuts 412. "Man can not discover new oceans unless he has the courage to lose sight of the shore." -- Andre Gide 413. "Mathematics is not a deductive science – that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork." -- Paul Halmos 414. "It's not the situation ... it's your reaction to the situation." -- Robert Conklin 415. "God grant me the serenity to accept the things I cannot change, the courage to change the things I can, and the wisdom to know the difference." -- Reinhold Niebuhr


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416. "Success does not consist in never making mistakes, but in never making the same one a second time." -- George Bernard Shaw 417. "Millions saw the apple fall, but Newton asked why." -- Bernard Baruch 418. "In the book of life, the answers aren't in the back." -- Charlie Brown (Charles Schulz) 419. "The symbolism of algebra is its glory. But it also is its curse." -- William Betz 420. "I have always wished that my computer would be as easy to use as my telephone. My wish has come true ... I no longer know how to use my telephone." -- Bjarne Stroustrup 421. "If we couldn't laugh, we just would go insane. If we weren't all crazy, we would go insane." -- Jimmy Buffett


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422. "We use only 10% of our brains… Imagine how smart we would be if we used the other 60%!" -- Ellen DeGeneres 423. "The most powerful single idea in mathematics is the notion of a variable." -– K. Dewdney 424. "Home computers are being called upon to perform many new functions, including the consumption of homework formerly eaten by the dog." -- Doug Larson 425. "Only two things are infinite, the universe and human stupidity, and I'm not sure about the former." –- Albert Einstein 426. "You can not feed the hungry on statistics." -- Heinrich Heine 427. "A word to the wise ain't necessary -- it's the stupid ones that need our advice." -- Bill Cosby 428. "When you are courting a nice girl an hour seems like a second. When you sit on a red-hot


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cinder a second seems like an hour. That's relativity." -- Albert Einstein 429. "Start every day off with a smile and get it over with." -- W.C. Fields 430. "I refuse to join any club that would have me as a member." -- Groucho Marx 431. "Hardware -- the parts of a computer that can be kicked." -- Jeff Pesis 432. "He who asks a question is a fool for five minutes; he who does not ask a question remains a fool forever." -- Confucius 433. "Do the math: Count your blessings." 434. "Students learn more when they complete homework that is graded, commented upon, and discussed by their teachers. The teacher's feedback -- reinforcing what has been done correctly and re-teaching what has not -- is key."


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-- Nancy Protheroe 435. "If one puts an infinite number of monkeys in front of typewriters, and lets them clap away, there is a certainty that one of them will come out with an exact version of the 'Iliad.'" -- Nassim Nicholas Taleb 436. "A math student's best friend is BOB (the Back Of the Book), but remember that BOB doesn't come to school on test days." -- Josh Folb 437. "The surest sign of wisdom is constant cheerfulness." -- Montaigne 438. "Do math and you can do anything." -- N.C.T.M. slogan 439. "A mathematician is a device for turning coffee into theorems." -- Paul Erdos 440. "The pursuit of learning is not a piece of content that can be taught. It is a value that teachers model. Only teachers who are avid, internally motivated learners can truly teach their


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students the joy of learning." -- Martin Haberman 441. "It isn't enough just to learn -- one must learn how to learn, how to learn without classrooms, without teachers, without textbooks. Learn, in short, how to think and analyze and decide and discover and create." -- Michael Bassis 442. "It isn't that they can't see the solution. It is that they can't see the problem." -- G. K. Chesterton 443. "Mathematics is an independent world created out of pure intelligence." -- William Wordsworth 444. "Read Euler: he is our master in everything." -- Pierre-Simon de Laplace 445. "I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors." -- James Caballero 446. "Charlie Chaplin once allegedly said to


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Albert Einstein: "The people applaud me because everyone understands me, and they applaud you because no one understands you." 447. "Share knowledge, not answers." 448. "Any fool can know. The point is to understand." -- Albert Einstein 449. "It has been said that Newton was born in the same year that Galileo died because God wanted someone of that caliber on Earth at all times." 450. "Light travels faster than sound. This is why some people appear bright until you hear them speak." 451. "Happiness is a state of the heart. It is not a function of circumstances." 452. "Baseball is 90% mental. The other half is physical." -- Yogi Berra 453. "Mathematics is the art of giving the same name to different things." -- J. H. Poincare


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454. "Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state." -- Plato 455. "The difference between an introvert mathematician and an extrovert mathematicians is: An introvert mathematician looks at his shoes while talking to you. An extrovert mathematician looks at your shoes." 456. "Golden rule of deriving: never trust any result that was proved after 11 PM." 457. "If I have not seen as far as others, it is because giants were standing on my shoulders." -- Hal Abelson 458. "The reason that every major university maintains a department of mathematics is that it is cheaper to do this than to institutionalize all those people." 459. "Analytic Geometry immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences."


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-- John Stuart Mill 460. "Old Saying: If you really want to learn something, teach it to someone. New Saying: If you really want to learn something, teach it to a computer." 461. "The shortest distance between two pixels on a computer screen is not necessarily a straight line" 462. "Progress has little to do with speed, but much to do with direction." 463. "The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid." -- Augustus De Morgan 464. "Euler -- The unsurpassed master of analytic invention." -- Richard Courant 465. "Number rules the universe." -- Pythagoras 466. "Nature and nature's laws lay hid in the night; God said, 'Let Newton be' and all was light." -- Alexander Pope


math quotes

467. "Do not then train boys to learning by force and hardness; but direct them to it by what amuses their minds." -- Plato 468. "The great thing in this world is not so much where we are, but in what direction we are moving." -- Oliver Wendell Holmes 469. "Without the assistance of the Divine Being... I cannot succeed. With that assistance, I cannot fail." -- Abraham Lincoln 470. "I can teach you anything, once I have your undivided attention." 471. "You can and will learn if you come to my class." 472. "Optimism is the one quality more associated with success and happiness than any other." -- Brian Tracy 473. "Laughter is a shock absorber that eases the blows of life."


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474. "A goal without a plan is just a wish." -- Antoine de Saint-Exupery 475. "Nothin' from nothin' leaves nothin'." -- Billy Preston 476. "Perhaps the greatest shortcoming as a society is in the low expectations we set for both ourselves and our children." -- Jim Rubillo 477. "Students don't care how much you know until they know how much you care." -- Mrs. Theiler 478. "Too many students give up upon encountering difficulties in math, when just trying a few strategies could mean the difference between succeeding and failing." -- Arthur E. Schwartz Handley Math Page

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