{"id":424,"date":"2004-07-15T08:44:00","date_gmt":"2004-07-15T15:44:00","guid":{"rendered":"http:\/\/www.preposterousuniverse.com\/blog\/is-that-a-riemann-or-lebesgue-integral\/"},"modified":"2004-07-15T08:44:00","modified_gmt":"2004-07-15T15:44:00","slug":"is-that-a-riemann-or-lebesgue-integral","status":"publish","type":"post","link":"https:\/\/preposterousuniverse.com\/blog\/2004\/07\/15\/is-that-a-riemann-or-lebesgue-integral\/","title":{"rendered":"Is that a Riemann or Lebesgue integral?"},"content":{"rendered":"<p><a href=\"http:\/\/www.artsjournal.com\/aboutlastnight\/archives20040711.shtml#82590\">Terry Teachout<\/a> has a nice reflection on the social disapprobation that accompanies an unseemly regard for the artistic and intellectual side of life (especially for children).  I have nothing deep to add, except that his mention of a hypothetical waitress who could quiz him knowledgeably on what he was reading reminded me of this well-known <a href=\"http:\/\/www.uni-graz.at\/imawww\/pages\/humor\/jokes1.html\">math joke<\/a>:<\/p>\n<blockquote><p>The first mathematician says to the second that the average person knows very little about basic mathematics.<br \/>\n<br \/>The second one disagrees, and claims that most people can cope with a reasonable amount of math.<br \/>\n<br \/>The first mathematician goes off to the washroom, and in his absence the second calls over the waitress.<br \/>\n<br \/>He tells her that in a few minutes, after his friend has returned, he will call her over and ask her a question.<br \/>\n<br \/>All she has to do is answer: `one third x cubed&#8217;.<br \/>\n<br \/>She repeats `one thir &#8212; dex cue&#8217;? He repeats `one third x cubed&#8217;.<br \/>\n<br \/>Her: `one thir dex cuebd&#8217;? Yes, that&#8217;s right, he says.<br \/>\n<br \/>So she agrees, and goes off mumbling to herself, `one thir dex cuebd&#8230;&#8217;.<br \/>\n<br \/>The first guy returns and the second proposes a bet to prove his point, that most people do know something about basic math. He says he will ask the blonde waitress an integral, and the first laughingly agrees.<br \/>\n<br \/>The second man calls over the waitress and asks `what is the integral of x squared?&#8217;.<br \/>\n<br \/>The waitress says `one third x cubed&#8217; and while walking away, turns back and says over her shoulder `plus a constant&#8217;!<\/p><\/blockquote>\n<p>  Okay, it&#8217;s not very funny if you don&#8217;t know much calculus (the waitress was giving a more precisely correct answer than the mathematicians had any right to expect, demonstrating that they were both handicapped by inaccurate stereotypes).  But I noticed something else:  looking for a copy of the joke through Google, the version I just transcribed is only the second-most-popular version.  More popular is the <a href=\"http:\/\/www.kent.k12.wa.us\/staff\/dwright\/calculus\/book\/5.5\/jokes.html\">following:<\/a><\/p>\n<blockquote><p>    Two mathematicians were having dinner in a restaurant, arguing about the average mathematical knowledge of the American public. One mathematician claimed that this average was woefully inadequate, the other maintained that it was surprisingly high.<br \/>\n<br \/>     &#8220;I&#8217;ll tell you what,&#8221; said the cynic. &#8220;Ask that waitress a simple math question. If she gets it right, I&#8217;ll pick up dinner. If not, you do.&#8221;<br \/>\n<br \/>     He then excused himself to visit the men&#8217;s room, and the other called the waitress over.<br \/>\n<br \/>     &#8220;When my friend returns,&#8221; he told her, &#8220;I&#8217;m going to ask you a question, and I want you to respond &#8216;one third x cubed.&#8217; There&#8217;s twenty bucks in it for you.&#8221; She agreed.<br \/>\n<br \/>     The cynic returned from the bathroom and called the waitress over. &#8220;The food was wonderful, thank you,&#8221; the mathematician started. &#8220;Incidentally, do you know what the integral of x squared is?&#8221;<br \/>\n<br \/>     The waitress looked pensive, almost pained. She looked around the room, at her feet, made gurgling noises, and finally said, &#8220;Um, one third x cubed?&#8221;<br \/>\n<br \/>     So the cynic paid the check. The waitress wheeled around, walked a few paces away, looked back at the two men, and muttered under her breath, &#8220;&#8230;plus a constant.&#8221; <\/p><\/blockquote>\n<p>  You see the difference?  In the first version, with which I was familiar, I always imagined that the waitress was having fun teasing the mathematicians, and walked away smiling.  But in the second version it&#8217;s clear she is just pissed off and grumbling.  Now it seems much less funny to me, although obviously a lot of people prefer this version.<\/p>\n<p>It&#8217;s amazing what psychological insights you can reach just be wandering through the web with Google as your only guide.  The internet isn&#8217;t anything weird and scary, it&#8217;s just a window into our brains.  Okay, that is pretty scary.<br \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Terry Teachout has a nice reflection on the social disapprobation that accompanies an unseemly regard for the artistic and intellectual side of life (especially for children). I have nothing deep to add, except that his mention of a hypothetical waitress who could quiz him knowledgeably on what he was reading reminded me of this well-known [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-424","post","type-post","status-publish","format-standard","hentry","category-miscellany"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/posts\/424","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/comments?post=424"}],"version-history":[{"count":0,"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/posts\/424\/revisions"}],"wp:attachment":[{"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/media?parent=424"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/categories?post=424"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/preposterousuniverse.com\/blog\/wp-json\/wp\/v2\/tags?post=424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}