A Quote by George Stigler
Mathematics has no symbols for confused ideas.
Quote Topics
Quote Author
Related Quotes
On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,'... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient.
Just as music comes alive in the performance of it, the same is true of mathematics. The symbols on the page have no more to do with mathematics than the notes on a page of music. They simply represent the experience.
In religion, symbols have always played a iconographic and ritualistic role. Different symbols might represent different theological ideas.
There are indeed 'values' in the Harry Potter series, but they're confused with anti-values. Potterworld is a scrambled moral universe. There are Christian symbols in the series, but the author misappropriates them, mutates them, and integrates them into a supposedly larger and broader system where evil symbols are dominant.
Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express. Let them make the effort to express these ideas in appropriate words without the aid of symbols, and if they succeed they will not only lay us laymen under a lasting obligation, but, we venture to say, they will find themselves very much enlightened during the process, and will even be doubtful whether the ideas as expressed in symbols had ever quite found their way out of the equations into their minds.
I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.
This is a wonderful book, unique and engaging. Diaconis and Graham manage to convey the awe and marvels of mathematics, and of magic tricks, especially those that depend fundamentally on mathematical ideas. They range over many delicious topics, giving us an enchanting personal view of the history and practice of magic, of mathematics, and of the fascinating connection between the two cultures. Magical Mathematics will have an utterly devoted readership.
The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new.
Ideas do have consequences in history, yet not because those ideas are inherently truthful or obviously correct but rather because of the way they are embedded in very powerful institutions, networks, interests, and symbols.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
Many people suggest using mathematics to talk to the aliens, and Dutch computer scientist Alexander Ollongren has developed an entire language (Lincos) based on this idea. But my personal opinion is that mathematics may be a hard way to describe ideas like love or democracy.
If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.
Masochists are people that have pleasure confused with pain. In a world that has television confused with entertainment, doritoes confused with food, and Dan Quayle confused with a national political leader, masochists are clearly less mixed-up than the rest of us.
To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
The laws of Nature are written in the language of mathematics...the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word.
Thus, words being symbols of ideas, we can collect ideas by collecting words. The fellow who said he tried reading the dictionary but couldn't get the hang of the story simply missed the point: namely, that it is a collection of short stories.
Related Authors
Adam Smith Quotes
Scottish
Economist
Alan Greenspan Quotes
American
Economist
Benjamin Graham Quotes
American
Economist
Friedrich August von Hayek Quotes
Austrian
Economist
John Kenneth Galbraith Quotes
American
Economist
John Maynard Keynes Quotes
English
Economist
Joseph Stiglitz Quotes
American
Economist
Ludwig von Mises Quotes
Austrian
Economist
Milton Friedman Quotes
American
Economist
Muhammad Yunus Quotes
Bangladeshi
Economist
Murray Rothbard Quotes
American
Economist
Paul Krugman Quotes
American
Economist
Richard Thaler Quotes
American
Economist
Robert Reich Quotes
American
Economist
Thomas Sowell Quotes
American
Economist
Walter E. Williams Quotes
American
Economist