21. (x, Why?): Famous Movie Math Quotes #12 (x, why?) Mr. Burke is a high school math teacher in New York as well as a parttime writer, and a fan of science-fiction/fantasy books and films. http://mrburkemath.blogspot.com/2008/08/famous-movie-math-quotes-12.html

22. Math Quotes Here is a page of my favorite Math Quotes, as well as quotes regarding education, learning and etc. http://www.crewtonramoneshouseofmath.com/math-quotes.html

Math Quotes Here are some of my favorite Math quotes. You will find these quotes scattered about on every page of this site. Here they are, all in one place in no particular order. This is by no means a complete list. I'll be adding Math quotes here as well as other quotes on education and learning and then more general quotes that are semi-on topic. I collect quotes. Enjoy. I couldn't help bolding ones that I feel sum up my philosophy or have shaped my particular teaching style, and putting in a comment or two. Learn Spanish with SpanishPod For more quotes on education and learning go here. "Teaching is a sacred trust." ~Joyce A Rogers “Mathematics is a language.” ~Josiah Willard Gibbs "My first mistress is the Mathematics, and she is a jealous, jealous mistress." ~Ben H Rogers "I don't believe in mathematics." ~Albert Einstein Me neither. "But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain." ~Albert Einstein "Life is good for only two things, discovering mathematics and teaching mathematics." ~Siméon Poisson

23. 03E: Set Theory From Dave Rusin s Known Math collection. http://www.math.niu.edu/~rusin/known-math/index/03EXX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 03E: Set theory Introduction Naive set theory considers elementary properties of the union and intersection operators Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusion-exclusion principle, partially ordered sets, and so on. This is perhaps as much of set theory as the typical mathematician uses. Indeed, one may "construct" the natural numbers, real numbers, and so on in this framework. However, situations such as Russell's paradox show that some care must be taken to define what, precisely, is a set. However, results in mathematical logic imply it is impossible to determine whether or not these axioms are consistent using only proofs expressed in this language. Assuming they are indeed consistent, there are also statements whose truth or falsity cannot be determined from them. These statements (or their negations!) can be taken as axioms for set theory as well. For example, Cohen's technique of forcing showed that the Axiom of Choice is independent of the other axioms of ZF. (That axiom states that for every collection of nonempty sets, there is a set containing one element from each set in the collection.) This axiom is equivalent to a number of other statements (e.g. Zorn's Lemma) whose assumption allows the proof of surprising even paradoxical results such as the Banach-Tarski sphere decomposition. Thus, some authors are careful to distinguish results which depend on this or other non-ZF axioms; most assume it (that is, they work in ZFC Set Theory).

24. Math Quotes From Platonic Realms Interactive database of mathematical quotation. To begin, use forms at right Search tips When you wish to browse by author or topic, do not click the “SEARCH” button http://www.mathacademy.com/pr/quotes/

To begin, use forms at right Search tips: When searching by phrase, use shorter, simpler phrases in the search box to return a greater number of records. When searching by phrase, the page will only return the first 30 quotes matching the search criteria. Use a longer search phrase to refine your search. If you wish to view all the quotes in the database, browsing by author is the most efficient approach. contact page . Please try to include as much information as possible, including the source if known, the complete name of the person quoted, the date (year) of the quote, and any other information that may help us in authenticating the quote. BROWSE BY AUTHOR select Adler anonymous Aristotle Auden Augustine of Babbage Bacon Bacon Barrow Barwise Behnke Beilinson Bell Berkeley Bernoulli Bohr Bolyai Boutroux Bragdon Briffault Brouwer Browne Buchanan Cantor Carlyle Carroll Cayley Cezanne Chesterton Churchill Coleridge Colton Comte Dantzig Darwin da Vinci Davis Davis Dedekind Dee Descartes Dirac Disraeli Dryden Dudeny Dunsany Duranty Einstein Emerson Cornelis Euler Euripides Feynman Flaubert de Fontenelle Fourier France Franklin Frege Galilei Galois Gauss Gerhart Goethe Grahm Gudder Hadamard Halmos Hankle Hansberger Hardy Heinlein Heisenberg Hermite Herstein Hertz Hilbert Hirsch Hobbes Holmes Huxley Jackins Jacobi James Jeans Joyce Kammerling-On Kant Kelvin Kepler Khaldun King Klein Kline Kovalevskaya Kovalevsky Kronecker Lang Laplace Lasserre La Touche Leibniz Lemoine Lincoln Lobachevsky Locke Loeb Lovelace Mach Mackey Mandelbrot Mann Maxwell McCormack Mermin Meyer Michel Millay Mill

25. 54: General Topology From Dave Rusin s Known Math collection. http://www.math.niu.edu/~rusin/known-math/index/54-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 54: General topology Introduction More formally, a topological space is a set X on which we have a topology a collection of subsets of X which we call the "open" subsets of X. The only requirements are that both X itself and the empty subset must be among the open sets, that all unions of open sets are open, and that the intersection of two open sets be open. This definition is arranged to meet the intent of the opening paragraph. However, stated in this generality, topological spaces can be quite bizarre; for example, in most other disciplines of mathematics, the only topologies on finite sets are the discrete topologies (all subsets are open), but the definition permits many others. Thus a general theme in topology is to test the extent to which the axioms force the kind of structure one expects to use and then, as appropriate, introduce other axioms so as to better match the intended application. For example, a single point need not be a closed set in a topology. Does this seem "inappropriate"? Then perhaps you are envisioning a special kind of topological space, say a a metric space. This alone still need not imply the space looks enough like the shapes you may have seen in a textbook; if you really prefer to understand those shapes, you need to add the axioms of a manifold, perhaps. Many such levels of generality are possible.

26. Famous Math Quotes - Famous Quotes About Math From Basic Quotations - Famous Quo Famous quotes and famous sayings by famous people about love, life, politics, money and all else important. Use for inspiration, motivation, education, speeches, or just for fun! http://www.basicquotations.com/index.php?cid=93

27. NFL Xtreme 2 Review For The PS Review, by Clint This is as good as the original NFL Blitz. However, NFL Blitz came out last year, so you do the math. Grade B- http://www.gamerevolution.com/review/sony/nfl-xtreme-2

getTrigger('4540'); document.write(''); HOME CONSOLES REVIEWS PREVIEWS ... PS NFL Xtreme 2 NFL Xtreme 2 - PS REVIEWS PREVIEWS SCREENS VIDEOS CHEATS FAQS NEWS DOWNLOADS By: Clint PRINTER FRIENDLY VERSION EMAIL TO A FRIEND GENRE PLAYERS PUBLISHER 989 Studios DEVELOPER RELEASE DATE Aaaaagghhh... Steve Young just put me in a full nelson! The big hits, the slick moves, the scoring, the taunts, and the end zone dances. That's what most football lovers crave and that's what 989 Sports has delivered in the sequel to NFL Xtreme . Basically stripping down football to its most vulgar, violent, and exciting aspects, NFL Xtreme 2 is the NBA Jam of football. But then again, so is NFL Blitz A couple of years back NFL Blitz debuted in the arcades and was an instant success. It offered a new twist on the idea of exaggerated professional sports. As is the formula for success in the arcades, emphasis was taken away from strategy and focused on the action. When it came time for home console ports, NFL Xtreme tried to jump the gun on Blitz and steal the market - but it didn't quite do the job. Of course, a sequel is the just what the doctor ordered. But did they add enough this time around to beat the master?

28. Math.furman.edu Quotes from the Mathematical Quotations Server Collected by Mark R. Woodard Furman University. Abel, Niels H. (1802 1829) If you disregard the very simplest cases, there is in all of http://math.furman.edu/~mwoodard/data.html

Quotes from the Mathematical Quotations Server Collected by Mark R. Woodard Furman University Abel, Niels H. (1802 - 1829) If you disregard the very simplest cases, there is in all of mathematics not a single infinite series whose sum has been rigorously determined. In other words,the most important parts of mathematics stand without a foundation. In G. F. Simmons, Calculus Gems , New York: Mcgraw Hill, Inc., 1992, p. 188. Abel, Niels H. (1802 - 1829) [A reply to a question about how he got his expertise:] By studying the masters and not their pupils. Abel, Niels H. (1802 - 1829) [About Gauss' mathematical writing style] He is like the fox, who effaces his tracks in the sand with his tail. In G. F. Simmons, Calculus Gems , New York: Mcgraw Hill, Inc., 1992, p. 177. Adams, Douglas (1952 - 2001) Bistromathics itself is simply a revolutionary new way of understanding the behavior of numbers. Just as Einstein observed that space was not an absolute but depended on the observer's movement in space, and that time was not an absolute, but depended on the observer's movement in time, so it is now realized that numbers are not absolute, but depend on the observer's movement in restaurants. Life, the Universe and Everything.

29. Math Quotes Math Quotes. compiled by Dave Youngs, Fresno Pacific University, 2003 . S ren Kierkergaard, “ . . . the paradox is the source of the thinker’s passion, and the thinker without http://www2.visalia.k12.ca.us/vistas/vistas2/VISTAS quotes-Dave Youngs.doc

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30. Math Quotes From Platonic Realms Do you know of a mathrelated quote that should be included here, but isn t? Let the Quotes Editor know using the contact page. http://www.mathacademy.com/pr/quotes/index.asp

To begin, use forms at right Search tips: When searching by phrase, use shorter, simpler phrases in the search box to return a greater number of records. When searching by phrase, the page will only return the first 30 quotes matching the search criteria. Use a longer search phrase to refine your search. If you wish to view all the quotes in the database, browsing by author is the most efficient approach. contact page . Please try to include as much information as possible, including the source if known, the complete name of the person quoted, the date (year) of the quote, and any other information that may help us in authenticating the quote. BROWSE BY AUTHOR select Adler anonymous Aristotle Auden Augustine of Babbage Bacon Bacon Barrow Barwise Behnke Beilinson Bell Berkeley Bernoulli Bohr Bolyai Boutroux Bragdon Briffault Brouwer Browne Buchanan Cantor Carlyle Carroll Cayley Cezanne Chesterton Churchill Coleridge Colton Comte Dantzig Darwin da Vinci Davis Davis Dedekind Dee Descartes Dirac Disraeli Dryden Dudeny Dunsany Duranty Einstein Emerson Cornelis Euler Euripides Feynman Flaubert de Fontenelle Fourier France Franklin Frege Galilei Galois Gauss Gerhart Goethe Grahm Gudder Hadamard Halmos Hankle Hansberger Hardy Heinlein Heisenberg Hermite Herstein Hertz Hilbert Hirsch Hobbes Holmes Huxley Jackins Jacobi James Jeans Joyce Kammerling-On Kant Kelvin Kepler Khaldun King Klein Kline Kovalevskaya Kovalevsky Kronecker Lang Laplace Lasserre La Touche Leibniz Lemoine Lincoln Lobachevsky Locke Loeb Lovelace Mach Mackey Mandelbrot Mann Maxwell McCormack Mermin Meyer Michel Millay Mill

31. Math Quotes | When Will I Use Math? My mathematics tools help me make life better for my community, they help me make wise choices as a consumer and they give me a valuable skill that all employers want. http://www.whenwilliusemath.com/mathquotes

Search this site: sponsored by Sign In Register Home Careers ... Resources for Teachers Math Quotes "My mathematics tools help me make life better for my community, they help me make wise choices as a consumer and they give me a valuable skill that all employers want." Staff Engineer Costal Engineering Consultants, Inc. "While education in any field is a worthwhile pursuit, an education in mathematics is one that is used as a basis for many academic career choices." Senior Data Math Analyst Bendix Field Engineering Corporation "I thoroughly enjoy the career I’ve chosen, and I have no question that I wouldn’t be here if I had not started my training with a degree in mathematics. The analytical problem-solving skills one develops working through a mathematics curriculum are highly valuable and transferable to any future aspiration." Associate Scientist Proctor and Gamble "Three points . . . first, mathematics is everywhere . . . from steam irons to nuclear power plants to elevators. Second, mathematics is hard work. Third, mathematicians are normal people. So, if you like numbers, computers, and all that stuff, go for it! It will be worth the effort." Manager, Group Control

32. Math Quotes From Platonic Realms SEARCH FOR QUOTES CONTAINING A PHRASE (5 to 50 characters) CLICK HERE FOR http://www.mathacademy.com/pr/quotes/index.asp?ACTION=TOP&VAL=geometry

33. Quotes – Famous Quotes – Math Quotes – Paul Erdos Quotes « Quotes Famous We have been collecting famous quotes and famous sayings for many years and we have been putting them out on the internet since 1993 or maybe a bit before that. http://quotes.wordpress.com/2006/07/25/quotes-famous-quotes-math-quotes-paul-erd

34. Math Quotes I love collecting profound quotes. I must give credit to the math department at Handley High School for collecting most of these. Please check back http://havenhillmath.com/Math Quotes.html

I love collecting profound quotes. I must give credit to the math department at Handley High School for collecting most of these. Please check back occasionally as I will continue to grow this list. 1. Success in math does not depend on how many answers you know, but by what you do when you 2. The most incomprehensible thing about the universe is that it is comprehensible. Einstein 3. Mathematics is the structure created and/or discovered in the human attempt to solve problems. Randy Maddox Carl Friedrich Gauss front of typewriters, and lets them clap away, there is a certainty that one of them will come out with an Nassim Nicholas Taleb on a million typewriters will eventually reproduce the entire works of Shakespeare. Now, thanks to the Professor Robert Silensky discuss events. Great minds discuss ideas. Really Isaac Newton Erasmus Buddha Plutarch Kenyan proverb Martin Luther King, Jr. 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 Lee Iacocca second only to being a good parent, is being a good

35. Math Quotes Geometry Index. Elearning Math Quotes Geometry Index. Elearning 2007. Antonio Gutierrez http://www.gogeometry.com/math_geometry_quotes/index.html

36. Math Quotes - Mackie's Favorite - Math A collection of some of my favorite Math quotes. Math Quotes - Mackie s Favorite - Math is a personally written site at BellaOnline. http://www.bellaonline.com/articles/art32476.asp

forum radio shops sweeps ... Pagan All times in EST Autism Spectrum Disorders: 4:00 PM Full Schedule Math Site Beverly Mackie BellaOnline's Math Editor Math Quotes - Mackie's Favorite Here are some of my favorite math and education quotes. “Mathematics is a language.” ~ Gibbs, Josiah Willard “God is like a skilful Geometrician.” ~ Browne, Sir Thomas “It is not enough to have a good mind. The main thing is to use it well.” ~Descartes “There are three kinds of lies: lies, damned lies, and statistics.” ~Disraeli, Benjamin “Whoso loveth instruction loveth knowledge: but he that hateth reproof is brutish.” Proverbs 12:1 “Mathematics is the queen of the sciences.” ~Carl Friedrich Gauss “One of the principal objects of theoretical research in my department of knowledge is to find the point of view from which the subject appears in its greatest simplicity.” ~ Gibbs, Josiah Willard “An expert is someone who knows some of the worst mistakes that can be made in his subject, and how to avoid them.” ~ Heisenberg, Werner “Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.” ~Albert Einstein

37. Math Quotes Math Quotes. I must study politics and war that my sons may have liberty to study mathematics and philosophy. John Adams http://www.math.washington.edu/~tseng/mathquotes.html

Math Quotes I must study politics and war that my sons may have liberty to study mathematics and philosophy. John Adams If it's incomprehensible, it's mathematics. Bennett Cern I protest against the use of infinite magnitude ..., which is never permissible in mathematics. Carl Friedrich Gauss And for mathematical science, he that doubts their certainty hath need of a dose of hellebore. Joseph Glanvill an excessive study of mathematics absolutely incapacitates the mind... Sir William Hamilton Round numbers are always false. Samuel Johnson If I had inherited a fortune I should probably not have cast my lot with mathematics. Joseph-Louis Lagrange If only gravity were working, the path would be symmetrical, it is the wind resistance that produces the tragic curve. Norman Mailer In my free time I do differential and integral calculus. Karl Marx How is error possible in mathematics? Henri Poincare But if two and two and fifty make a million,... Pete Seeger Do I contradict myself? Very well then I contradict myself. Walt Whitman Back to homepage

38. Mathematical Quotes Favorite Math Quotes. If you enjoy the quotes found on this site, you can find many more at the following site Furman University Mathematical Quotations Server http://gateways2learning.com/Quotes.htm

Favorite Math Quotes If you enjoy the quotes found on this site, you can find many more at the following site: Furman University - Mathematical Quotations Server "Mathematics is not a careful march down a well cleared highway, but a journey into a strange wilderness, where explorers often get lost." W. S. Anglin "I had a feeling once about Mathematics - that I saw it all. Depth beyond depth was revealed to me - the Byss and Abyss. I saw - as one might see the transit of Venus or even the Lord Mayor's Show - a quantity passing through infinity and changing its sign from plus to minus. I saw exactly why it happened and why the tergiversation was inevitable but it was after dinner and I let it go." Sir Winston Spencer Churchill, (1874-1965) "A formal manipulator in mathematics often experiences the discomforting feeling that his pencil surpasses him in intelligence." Howard W. Eves "One is hard pressed to think of universal customs that man has successfully established on earth. There is one, however, of which he can boast the universal adoption of the Hindu-Arabic numerals to record numbers. In this we perhaps have man's unique worldwide victory of an idea." Howard W. Eves

39. Math Quotes 2008 FunFlip. All rights reserved http://www.funflip.com/word/Math-Quotes

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40. Math Quotes | Math Help Online Math tutor for Find online math help, tests resources http://www.onlinemathtutor.org/help/category/math-quotes/

Math Help Search for: Home About Us Mathematics Contact Us September 28th Math quotes #5 Proof is an idol before whom the pure mathematician tortures himself. by Arthur Stanley Eddington, The Nature of the Physical World There was a young man from Trinity, Who solved the square root of infinity. While counting the digits, He was seized by the fidgets, Dropped science, and took up divinity. Author Unknown by Heinrich Hertz In the binary system we count on our fists instead of on our fingers. Author Unknown The laws of nature are but the mathematical thoughts of God. by Euclid In most sciences one generation tears down what another has built and what one has established another undoes.  In mathematics alone each generations adds a new story to the old structure. by Hermann Hankel Posted in Math Quotes Tags: Quotes September 23rd Math quotes #4 Mathematics is the supreme judge; from its decisions there is no appeal. by Tobias Dantzig Although he may not always recognize his bondage, modern man lives under a tyranny of numbers. by Nicholas Eberstadt, The Tyranny of Numbers: Mismeasurement and Misrule

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