{"id":47,"date":"2014-01-19T06:49:25","date_gmt":"2014-01-19T06:49:25","guid":{"rendered":"https:\/\/peterkreutzer.com\/blog\/?p=47"},"modified":"2014-01-19T13:23:35","modified_gmt":"2014-01-19T13:23:35","slug":"astronomy-wiz-falls-down-a-wormhole","status":"publish","type":"post","link":"https:\/\/peterkreutzer.com\/blog\/?p=47","title":{"rendered":"Astronomy Wiz Falls Down a Wormhole."},"content":{"rendered":"<p>I enjoy Phil Plait&#8217;s Bad Astronomy posts that I read on Slate. I&#8217;m sure his <a href=\"http:\/\/www.badastronomy.com\/index.html\">Bad Astronomy<\/a> blog is well worth visiting, but I hadn&#8217;t until tonight. And I have to say, I love the handmade feel of the site. And I love his enthusiasm for the deep space photos and the climate change fight, and even mathematics.<\/p>\n<p>Which is where this story comes from. Yesterday Phil <a href=\"http:\/\/www.slate.com\/blogs\/bad_astronomy\/2014\/01\/17\/infinite_series_when_the_sum_of_all_positive_integers_is_a_small_negative.html\">wrote a story<\/a> about a mathematical equation that defied description. It&#8217;s kind of like the idea, If God can do anything, can he make a rock he can&#8217;t pick up? In this case the question was, what is the sum of 1+2+3+4+5&#8230;. <\/p>\n<p>Those ellipses mean that the sequence goes on forever. It&#8217;s a headpounder. If the sequence of numbers is infinite, it seems like the sum of this infinite sequence must be infinite, but Phil told a story in which the sum was -1\/12th. <\/p>\n<p>And he posted a video. In which some giggly physicists, highly respected apparently, demonstrate by a series of algebraic transpositions (I&#8217;m certainly not using the right math lingo here) that the infinite (which Phil identifies as divergent) series has that value of -1\/12th.<\/p>\n<p>I watched the video in the original post and I liked the kookiness, and I loved the way math was a form of play (not something I have any familiarity with), but I didn&#8217;t understand how you could just add and subtract these infinite series and make any sense. It all seemed somewhat arbitrary. Despite Phil&#8217;s hype of this explanation as mindblowing, my mind was unblown. Good for me, it turns out.<\/p>\n<p>According to Phil&#8217;s <a href=\"http:\/\/www.slate.com\/blogs\/bad_astronomy\/2014\/01\/18\/follow_up_the_infinite_series_and_the_mind_blowing_result.html\">mea culpa today<\/a>, you really can&#8217;t add and subtract infinite series. Phil got gulled into a bit of pop-math hocus pocus, I guess. He doesn&#8217;t call out the guys in the video. But his elaboration on the original post is good-writer magic, and explains why his blog is popular. <\/p>\n<p>I think the bigger issue here is our need to question what we see and hear. Phil Plait is a thoughtful and honest writer with a lot of expertise. He notes that that expertise is not mathematical, but he does love the numbers, so he writes about them. That doesn&#8217;t mean he or his source is always right. We need to be skeptical about all claims, especially the mindblowing ones.<\/p>\n<p>And welcome when someone who made a mistake admits it. As Phil did.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I enjoy Phil Plait&#8217;s Bad Astronomy posts that I read on Slate. I&#8217;m sure his Bad Astronomy blog is well worth visiting, but I hadn&#8217;t until tonight. And I have to say, I love the handmade feel of the site. And I love his enthusiasm for the deep space photos and the climate change fight, &hellip; <a href=\"https:\/\/peterkreutzer.com\/blog\/?p=47\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Astronomy Wiz Falls Down a Wormhole.<\/span> <span class=\"meta-nav\">&rarr;<\/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":[12,2,13],"tags":[],"class_list":["post-47","post","type-post","status-publish","format-standard","hentry","category-critique","category-meta","category-news"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/47"}],"collection":[{"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=47"}],"version-history":[{"count":4,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/47\/revisions"}],"predecessor-version":[{"id":52,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/47\/revisions\/52"}],"wp:attachment":[{"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=47"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=47"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/peterkreutzer.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}