tea.mathoverflow.net - Discussion Feed (List of mathematical koans) Sun, 04 Nov 2018 16:07:40 -0800 http://mathoverflow.tqft.net/ Lussumo Vanilla 1.1.9 & Feed Publisher Mariano comments on "List of mathematical koans" (17741) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17741#Comment_17741 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17741#Comment_17741 Mon, 19 Dec 2011 07:59:53 -0800 Mariano It doesn't lend strength to the argument, really.

At best, this thread exemplifies the fact that there are bad soft questions!

Later: (well... if by «these soft questions» you meant «the bad soft questions», yes it does strengthen the argument by providing a new example)

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Mark Meckes comments on "List of mathematical koans" (17736) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17736#Comment_17736 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17736#Comment_17736 Mon, 19 Dec 2011 05:26:46 -0800 Mark Meckes I also completely agree with Andrew.

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Angelo comments on "List of mathematical koans" (17733) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17733#Comment_17733 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17733#Comment_17733 Mon, 19 Dec 2011 04:46:58 -0800 Angelo Andrew Stacey comments on "List of mathematical koans" (17732) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17732#Comment_17732 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17732#Comment_17732 Mon, 19 Dec 2011 02:44:38 -0800 Andrew Stacey

It was worth a try since many soft questions followed before.

I'm very glad that you said that as it lends strength to the argument that I and others put forward that these soft questions encourage others so should be clearly discouraged from the main site.

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Zeeshan Mahmud comments on "List of mathematical koans" (17731) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17731#Comment_17731 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17731#Comment_17731 Mon, 19 Dec 2011 02:19:08 -0800 Zeeshan Mahmud Gjergji comments on "List of mathematical koans" (17728) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17728#Comment_17728 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17728#Comment_17728 Mon, 19 Dec 2011 00:30:34 -0800 Gjergji Yemon Choi comments on "List of mathematical koans" (17727) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17727#Comment_17727 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17727#Comment_17727 Sun, 18 Dec 2011 22:36:42 -0800 Yemon Choi Echoing Andy, with a slight variation: I think this is an inappropriate question.

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Andy Putman comments on "List of mathematical koans" (17723) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17723#Comment_17723 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17723#Comment_17723 Sun, 18 Dec 2011 20:00:04 -0800 Andy Putman darijgrinberg comments on "List of mathematical koans" (17717) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17717#Comment_17717 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17717#Comment_17717 Sun, 18 Dec 2011 19:30:26 -0800 darijgrinberg But self-referential things are not koans per se. (Not all koans are paradoxes, but the ones you mentioned, except for hypergame, are not koans. They are just mathematical problems with some degree of funniness, but they don't have any "mindfuck effect".)

It's no good to start a list if you are not clear about the definition of what you are listing up.

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Zeeshan Mahmud comments on "List of mathematical koans" (17715) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17715#Comment_17715 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17715#Comment_17715 Sun, 18 Dec 2011 19:13:36 -0800 Zeeshan Mahmud
No it's not paradoxical but self-referential. ]]>
darijgrinberg comments on "List of mathematical koans" (17714) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17714#Comment_17714 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17714#Comment_17714 Sun, 18 Dec 2011 19:11:03 -0800 darijgrinberg What is paradoxal about quining?

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Peter McNamara comments on "List of mathematical koans" (17712) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17712#Comment_17712 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17712#Comment_17712 Sun, 18 Dec 2011 19:09:35 -0800 Peter McNamara Zeeshan Mahmud comments on "List of mathematical koans" (17711) http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17711#Comment_17711 http://mathoverflow.tqft.net/discussion/1256/list-of-mathematical-koans/?Focus=17711#Comment_17711 Sun, 18 Dec 2011 19:05:21 -0800 Zeeshan Mahmud
Of course, the interpretation of a koan can be varied. Perhaps it will help in a taxonomy of paradoxes?

http://en.wikipedia.org/wiki/List_of_paradoxes#Mathematics

Some examples not on list:

-Is hypergame a hyperghame?
-Quining (computing)
-Can you hear the shape of the drum? (not a paradox but has a koan flavor)

It can a simple question as:

Why is it that any number raised to the power zero is equal to 1 and not zero ?
http://www.calculatoredge.com/math/mathlogic/logicans4.htm

Related:

http://en.wikipedia.org/wiki/Hacker_koan ]]>