{"id":213,"date":"2011-05-14T15:05:49","date_gmt":"2011-05-14T20:05:49","guid":{"rendered":"http:\/\/www.timrosenblatt.com\/blog\/2011\/05\/14\/on-hidden-assumptions\/"},"modified":"2011-05-14T15:06:40","modified_gmt":"2011-05-14T20:06:40","slug":"on-hidden-assumptions","status":"publish","type":"post","link":"http:\/\/www.timrosenblatt.com\/blog\/2011\/05\/14\/on-hidden-assumptions\/","title":{"rendered":"On Hidden Assumptions"},"content":{"rendered":"<p>I&#8217;ve been playing Angry Birds lately. I&#8217;m good at it, in the sense that I&#8217;m able to beat a game that was designed to be beaten by children. I get past every level, with one, two, or three stars. After I finish a group of levels this way, I go back and try and get 3 stars on all the levels where I didn&#8217;t the first time.<\/p>\n<div style='text-align:center;'><img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/wikipedia\/en\/d\/d6\/Angry-Birds-in-Game-Play-1.jpg\" style=\"width:480px;height:320px;margin:5px;border:1px solid black;margin-left:auto;margin-right:auto;\" title=\"If you don't know what this is, you're living like a pig under a rock. Watch out.\" \/><\/div>\n<p>One thing I do to help with this is to pay attention to my points-per-bird average (good old PPB). If I need 100,000 points to pass a level, and I have 3 birds, I need 34,000 PPB. This matters, because if I only get 6,000 on the first bird, it is probably not worth my time to keep going on that level &#8212; I should hit restart. This is a good strategy, and gets me 3 stars often.<\/p>\n<p>There&#8217;s a hidden assumption here: that throws are independent. This is not always true. Sometimes I need to take a lower PPB on the first bird to set me up for the next throw. If I get 6,000 on the first throw, but that exposes a box of TNT and I can get 90,000 on the second, then my standard of &#8220;6,000 PPB is too low&#8221; is flawed for that level (even though it&#8217;s a good idea for a starting point). If I don&#8217;t get 3 stars on a level with my PPB strategy within 15 minutes, I start looking for other openings.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/static.newworldencyclopedia.org\/4\/41\/Richard_Feynman_ID_badge.png\" height=\"180\" width=\"130\" alt=\"Richard Feynman, smirking like a smug smurf\" title=\"Richard Feynman, smirking like a smug smurf\" style=\"float:right;border:1px solid black;margin:5px;\" \/>Question hidden assumptions. It&#8217;s what Richard Feynman did, with his belief that all problems should be solved from first principles. He&#8217;d take even the most basic and widely accepted answers, strip them down, and re-derive the answers himself. I think it&#8217;s one of the things that led to him being so effective (a lot of people consider him a modern day Einstein, except his discoveries aren&#8217;t as consumer-friendly as e=mc^2, so he doesn&#8217;t have the same pop culture awareness).\u00a0In doing this, he&#8217;d run into all sorts of assumptions that people were making (without realizing it), sometimes leading them away from a useful piece of information.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;ve been playing Angry Birds lately. I&#8217;m good at it, in the sense that I&#8217;m able to beat a game that was designed to be beaten by children. I get past every level, with one, two, or three stars. After I finish a group of levels this way, I go back and try and get &hellip; <a href=\"http:\/\/www.timrosenblatt.com\/blog\/2011\/05\/14\/on-hidden-assumptions\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;On Hidden Assumptions&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[544,342,546,545],"_links":{"self":[{"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/posts\/213"}],"collection":[{"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/comments?post=213"}],"version-history":[{"count":0,"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/posts\/213\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/media?parent=213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/categories?post=213"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.timrosenblatt.com\/blog\/wp-json\/wp\/v2\/tags?post=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}