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Recursivity: June 2011
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} /** Tweaks for layout editor preview */ body#layout #outer-wrapper { margin-top: 0; } body#layout #main, body#layout #sidebar { margin-top: 10px; padding-top: 0; } --></style> <link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=20067416&zx=6f2283e8-cf00-48dd-b17a-9498c2c4d2f9' media='none' onload='if(media!='all')media='all'' rel='stylesheet'/><noscript><link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=20067416&zx=6f2283e8-cf00-48dd-b17a-9498c2c4d2f9' rel='stylesheet'/></noscript> <meta name='google-adsense-platform-account' content='ca-host-pub-1556223355139109'/> <meta name='google-adsense-platform-domain' content='blogspot.com'/> </head> <body> <div class='navbar section' id='navbar'><div class='widget Navbar' data-version='1' id='Navbar1'><script type="text/javascript"> function setAttributeOnload(object, attribute, val) { if(window.addEventListener) { window.addEventListener('load', function(){ object[attribute] = val; }, false); } else { window.attachEvent('onload', function(){ object[attribute] = val; }); } } </script> <div id="navbar-iframe-container"></div> <script type="text/javascript" src="https://apis.google.com/js/platform.js"></script> <script type="text/javascript"> gapi.load("gapi.iframes:gapi.iframes.style.bubble", function() { if (gapi.iframes && gapi.iframes.getContext) { gapi.iframes.getContext().openChild({ url: 'https://www.blogger.com/navbar/20067416?origin\x3dhttp://recursed.blogspot.com', where: document.getElementById("navbar-iframe-container"), id: "navbar-iframe" }); } }); </script><script type="text/javascript"> (function() { var script = document.createElement('script'); script.type = 'text/javascript'; script.src = '//pagead2.googlesyndication.com/pagead/js/google_top_exp.js'; var head = document.getElementsByTagName('head')[0]; if (head) { head.appendChild(script); }})(); </script> </div></div> <div id='outer-wrapper'><div id='wrap2'> <!-- skip links for text browsers --> <span id='skiplinks' style='display:none;'> <a href='#main'>skip to main </a> | <a href='#sidebar'>skip to sidebar</a> </span> <div id='header-wrapper'> <div class='header section' id='header'><div class='widget Header' data-version='1' id='Header1'> <div id='header-inner'> <div class='titlewrapper'> <h1 class='title'> <a href='http://recursed.blogspot.com/'> Recursivity </a> </h1> </div> <div class='descriptionwrapper'> <p class='description'><span>Recurrent thoughts about mathematics, science, politics, music, religion, and <br>Recurrent thoughts about mathematics, science, politics, music, religion, and <br>Recurrent thoughts about mathematics, science, politics, music, religion, and <br>Recurrent thoughts about ....</span></p> </div> </div> </div></div> </div> <div id='content-wrapper'> <div id='crosscol-wrapper' style='text-align:center'> <div class='crosscol no-items section' id='crosscol'></div> </div> <div id='main-wrapper'> <div class='main section' id='main'><div class='widget Blog' data-version='1' id='Blog1'> <div class='blog-posts hfeed'> <div class="date-outer"> <h2 class='date-header'><span>Monday, June 27, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='9560604518857302' itemprop='postId'/> <a name='9560604518857302'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/avoiding-sum-cubes.html'>Avoiding Sum Cubes</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-9560604518857302' itemprop='description articleBody'> One of the most interesting and challenging open problems in combinatorics on words is to decide whether there exists an infinite word over a finite subset of <b>N</b>, the non-negative integers, with the property that it contains no two consecutive blocks of the same length and the same sum (a "sum square"). <br /><br />For example, 01231301020103102310313231301020131013230 is a word of length 41 with this property, but if you append any one of {0,1,2,3} to it, it no longer does. Appending 0 gives the sum square 00; appending 1 gives the sum square (3231301020)(1310132301); appending 2 gives the sum square (103132313010)(201310132302); appending 3 gives the sum square (132)(303). So this word cannot be extended to an infinite word avoiding sum squares; the longest such is of length 50. Of course, there could be an infinite word avoiding sum squares over some other subset of <b>N</b>; no one currently knows.<br /><br />This problem was originally stated by Pirillo and Varricchio in 1994, and independently by Halbeisen and Hungerbühler in 2000. <br /><br />Today we posted a <a href="http://arxiv.org/abs/1106.5204">preprint</a> in the arxiv that solves a related unsolved problem. Instead of avoiding sum squares, we show that we can avoid sum cubes: <i>three</i> consecutive blocks of the same length and same sum.<br /><br />The construction is actually quite simple: the infinite word in question is the fixed point of the morphism <br />0 → 03<br />1 → 43<br />3 → 1<br />4 → 01, <br />and can be obtained by repeatedly applying this morphism starting with 0. Here are the first 50 terms: <br />03143011034343031011011031430343430343430314301103 . <br />I found this morphism several years ago.<br /><br />However, proving that this word has the desired property is not simple. The proof was recently achieved by Luke Schaeffer, using ideas of James Currie at the University of Winnipeg and Julien Cassaigne at the Institute de Mathématiques at Luminy in France. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/avoiding-sum-cubes.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/avoiding-sum-cubes.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-27T20:33:00-04:00'>8:33 PM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/9560604518857302' onclick=''> 25 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/9560604518857302' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=9560604518857302&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/combinatorics%20on%20words' rel='tag'>combinatorics on words</a>, <a href='http://recursed.blogspot.com/search/label/mathematics' rel='tag'>mathematics</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Saturday, June 25, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='96003598663267507' itemprop='postId'/> <a name='96003598663267507'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/more-lousy-reporting-from-record.html'>More Lousy Reporting from the Record</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-96003598663267507' itemprop='description articleBody'> Yet another <a href="http://www.therecord.com/living/faith/article/552593--ban-on-bible-in-schools-disregards-book-s-influence">crappy article</a> in my local paper, the Waterloo Region <i>Record</i>. This time it's about the Waterloo Region school board's decision to end the practice of distributing Gideon bibles in school.<br /><br />From the headline ("Bible ban in schools ignores its influence") to the content, the article is misleading and inaccurate. Nothing was "banned" by the Board's decision. Students are free to bring bibles to school, and bibles aren't being removed from libraries. The only thing that was changed by the decision is that an explicitly evangelical organization will no longer be allowed special dispensation from a public school board to distribute its sacred text to a captive audience of 5th graders, a right granted to no other organization and no other religion.<br /><br />The author's article, Liz Monteiro, didn't interview a single person in favor of the decision. False claims by Cindy Watson, the school board trustee who voted in favor of continuing the practice of distributing bibles, that it is "not proselytizing", were allowed to go unchallenged. David Seljak, who is usually sensible, is quoted as saying "To eliminate the study of religion from our curriculum is an exercise on mythmaking that borders on propaganda." Only problem? Nothing about "eliminat[ing] the study of religion" was at issue in the School Board's vote.<br /><br />Andrew Mills, a youth pastor, is allowed to make the remarkable claim that "It's a false dichotomy to think faith is opposed to learning." Well, let's go to Wilmot Centre Missionary Church and see how many books on evolutionary biology (not creationist books) are in their library. <i>Of course</i> faith is opposed to learning. By its very definition, faith leads to beliefs that cannot be questioned and cannot be swayed by evidence.<br /><br />All in all, more lousy reporting from the <i>Record</i>. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/more-lousy-reporting-from-record.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/more-lousy-reporting-from-record.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-25T20:45:00-04:00'>8:45 PM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/96003598663267507' onclick=''> 10 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/96003598663267507' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=96003598663267507&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/Gideons' rel='tag'>Gideons</a>, <a href='http://recursed.blogspot.com/search/label/religion' rel='tag'>religion</a>, <a href='http://recursed.blogspot.com/search/label/shoddy%20journalism' rel='tag'>shoddy journalism</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Friday, June 24, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='4679632221960127564' itemprop='postId'/> <a name='4679632221960127564'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/more-egnorance.html'>More Egnorance</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-4679632221960127564' itemprop='description articleBody'> Just as I suspected, Egnor's blog provides <a href="http://egnorance.blogspot.com/2011/06/commenter-lukel-are-you-suggesting.html">even more hilarity</a>.<br /><br />Here he claims:<br /><br /><i>'Separation of church and state' is not in the Constitution and is not Constitutional Law. </i><br /><br />Well, the words "separation of church and state" are not in the US Constitution, but neither are the words "right to a fair trial". Yet I doubt Egnor would make the same claim about the right to a fair trial.<br /><br />It is a clear falsehood to imply that the <i>concept</i> of separation of church and state is not in the Constitution. Of course it is - right there in the First Amendment - and no reputable lawyer claims otherwise. It is just plain weird how someone can proclaim his religion with such pride, and yet violate its tenets so casually.<br /><br />I really wonder why becoming unhinged about evolution means you <i>also</i> become unhinged about global warming, separation of church and state, etc. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/more-egnorance.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/more-egnorance.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-24T09:30:00-04:00'>9:30 AM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/4679632221960127564' onclick=''> 7 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/4679632221960127564' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=4679632221960127564&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/crackpots' rel='tag'>crackpots</a>, <a href='http://recursed.blogspot.com/search/label/Egnorance' rel='tag'>Egnorance</a>, <a href='http://recursed.blogspot.com/search/label/separation%20of%20church%20and%20state' rel='tag'>separation of church and state</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='1052178002217189112' itemprop='postId'/> <a name='1052178002217189112'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/waterloo-region-school-board-ends.html'>Waterloo Region School Board Ends Gideon Distribution</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-1052178002217189112' itemprop='description articleBody'> For years, the Gideons have distributed bibles to grade 5 students in local schools here in Waterloo. No other religious group was afforded this access, a practice which is clearly discriminatory. <br /><br />Back in November, the issue came up in the Waterloo Region School Board, and the board then <a href="http://www.wrdsb.ca/sites/www.wrdsb.ca/files/Nov%2017_10%20COW%20minutes.pdf">voted</a> to continue the practice. <br /><br />Kudos to Ted Martin and Kathleen Woodcock, who were the only members of the School Board sensible enough to vote no.<br /><br />But then - horror of horrors - it was suggested that groups other than Christians be allowed to distribute <i>their</i> religious propaganda, too.<br /><br />Suddenly the Board had a change of heart, and voted 8-3 to end the practice.<br /><br />Here are the members who voted to continue it: <br /><br />* Cindy Watson<br />* Harold Paisley<br />* Colin Harrington<br /><br />Shame on them. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/waterloo-region-school-board-ends.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/waterloo-region-school-board-ends.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-24T09:05:00-04:00'>9:05 AM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/1052178002217189112' onclick=''> 12 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/1052178002217189112' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=1052178002217189112&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/Gideons' rel='tag'>Gideons</a>, <a href='http://recursed.blogspot.com/search/label/religion' rel='tag'>religion</a>, <a href='http://recursed.blogspot.com/search/label/Waterloo' rel='tag'>Waterloo</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='1137962230764430638' itemprop='postId'/> <a name='1137962230764430638'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/mary-is-ideal-christian.html'>Mary is the Ideal Christian?</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-1137962230764430638' itemprop='description articleBody'> Oh, look: the brilliant brain surgeon Michael Egnor has a <a href="http://egnorance.blogspot.com/">blog</a>, which is called (I kid you not), "Egnorance".<br /><br />This is destined to be an endless fountain of unintended amusement.<br /><br />Already we have the renowned Dr. Egnor <a href="http://egnorance.blogspot.com/2011/06/now-even-irish-are-desecrating-images.html">claiming</a> that Mary is "the original Christian disciple, and a model and a mother for all of us".<br /><br />Let's see: Mary<br /><br />* had affair with some guy not her husband<br />* got pregnant by him<br />* lied about it<br />* convinces gullible husband that it was actually some god who raped her<br /><br />Yes, I'd say that she certainly is a good role model for theists. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/mary-is-ideal-christian.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/mary-is-ideal-christian.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-24T08:02:00-04:00'>8:02 AM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/1137962230764430638' onclick=''> 6 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/1137962230764430638' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=1137962230764430638&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/Egnorance' rel='tag'>Egnorance</a>, <a href='http://recursed.blogspot.com/search/label/foolishness' rel='tag'>foolishness</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Thursday, June 23, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCw72KorOpIpSVaJDzFnumOXsbSoD1q0RFAYe0bv6uHAzQexRa4lPYucUZhgRn4_8OBVg7l9bkRfCUNh-kAfg4wJruFrXIcMifekGWOce_h7A9INyns-1a2QHeQjWPovRCglftuA/s400/tsh2.jpg' itemprop='image_url'/> <meta content='20067416' itemprop='blogId'/> <meta content='2575343629937125415' itemprop='postId'/> <a name='2575343629937125415'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/t-shirt-contest.html'>T-Shirt Idea</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-2575343629937125415' itemprop='description articleBody'> Wikipedia <a href="http://en.wikipedia.org/wiki/Recursion">says</a>, "To understand recursion, you must first understand recursion." ThinkGeek even sells a <a href="http://www.thinkgeek.com/tshirts-apparel/unisex/itdepartment/b2ae/">t-shirt</a> with that slogan on it.<br /><br />But I think a <i>much</i> better version of this would be:<br /><br />"To understand recursio<i>n</i>, you must first understand recursio<i>n</i> - 1". <br /><br />Based on this, I submitted the following idea to ThinkGeek:<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCw72KorOpIpSVaJDzFnumOXsbSoD1q0RFAYe0bv6uHAzQexRa4lPYucUZhgRn4_8OBVg7l9bkRfCUNh-kAfg4wJruFrXIcMifekGWOce_h7A9INyns-1a2QHeQjWPovRCglftuA/s1600/tsh2.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5621410799126127506" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCw72KorOpIpSVaJDzFnumOXsbSoD1q0RFAYe0bv6uHAzQexRa4lPYucUZhgRn4_8OBVg7l9bkRfCUNh-kAfg4wJruFrXIcMifekGWOce_h7A9INyns-1a2QHeQjWPovRCglftuA/s400/tsh2.jpg" style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 400px; height: 392px;" /></a><br /><br />Who knows, maybe they'll make it into a t-shirt. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/t-shirt-contest.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/t-shirt-contest.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-23T05:45:00-04:00'>5:45 AM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/2575343629937125415' onclick=''> 1 comment: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/2575343629937125415' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=2575343629937125415&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/recursion' rel='tag'>recursion</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Wednesday, June 22, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='5965016650169714812' itemprop='postId'/> <a name='5965016650169714812'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/yet-another-boring-attack-on.html'>Yet Another Boring Attack on Materialism</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-5965016650169714812' itemprop='description articleBody'> <a href="http://www.bernardokastrup.com/2011/06/thought-experiment.html">Here</a>.<br /><br />Kastrup's observation is trite and unoriginal.<br /><br />Darwin himself remarked, "The horrid doubt always arises whether the convictions of man's mind, which has developed from the mind of the lower animals, are of any value or at all trustworthy. Would anyone trust the conviction of a monkey's mind, if there are any convictions in such a mind?"<br /><br />And, of course, we know from extensive research that our perceptions are often wrong, and wrong in predictable ways.<br /><br />But none of this provides the "profound contradiction" Kastrup thinks he has discovered. Yes, there are problems in perception and cognition, but the map between the real world and our mental model can't be <i>wildly</i> wrong. If it were, organisms with a better model would have outcompeted us. And the scientific method itself provides self-checking through replicability and peer review.<br /><br />The bottom line: our own perceptions, and those of the instruments we devise, are all we have. So we use them, and in doing so, we try to be on our guard for mistakes in reason and perception caused by our own biology. <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/yet-another-boring-attack-on.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/yet-another-boring-attack-on.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-22T10:27:00-04:00'>10:27 AM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/5965016650169714812' onclick=''> 9 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/5965016650169714812' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=5965016650169714812&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/bad%20philosophy' rel='tag'>bad philosophy</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Tuesday, June 14, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='20067416' itemprop='blogId'/> <meta content='106325194863991997' itemprop='postId'/> <a name='106325194863991997'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/doug-groothuis-endorses-bachmann.html'>Doug Groothuis endorses Bachmann</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-106325194863991997' itemprop='description articleBody'> Let's see: she's<br /><br />- <a href="http://www.politifact.com/personalities/michele-bachmann/">a pathological liar</a><br />- dumber than a <a href="http://www.rawstory.com/rs/2011/01/25/bachmann-founding-fathers-worked-tirelessly-slavery/">bag of nails</a><br />- <a href="http://whitewomenblackmen.com/forum/showthread.php?t=18117">a nasty bigot</a><br /><br />Despite those wonderful qualities, Michele Bachmann is still <a href="http://theconstructivecurmudgeon.blogspot.com/2011/06/my-candidate.html">the ideal Presidential candidate in the opinion of Doug Groothuis</a>.<br /><br />(He doesn't allow any comments on that post - no wonder.) <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/doug-groothuis-endorses-bachmann.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/doug-groothuis-endorses-bachmann.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-14T12:25:00-04:00'>12:25 PM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/106325194863991997' onclick=''> 35 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/106325194863991997' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=106325194863991997&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/Doug%20Groothuis' rel='tag'>Doug Groothuis</a>, <a href='http://recursed.blogspot.com/search/label/Michele%20Bachmann' rel='tag'>Michele Bachmann</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> <div class="date-outer"> <h2 class='date-header'><span>Monday, June 06, 2011</span></h2> <div class="date-posts"> <div class='post-outer'> <div class='post hentry uncustomized-post-template' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdEl70D1ewHRU2ai4UrUDAK4MA6yLcXzvL0RSxVwC238c6LFaEt9RcfYhDdBh-ct-xxSYx_CYyu6ta7OGxzoIxPNvujf0O8r4UebN71qjo09uMswaWJSKkzXp8gwsZnmo-jhJbzQ/s400/romero.jpg' itemprop='image_url'/> <meta content='20067416' itemprop='blogId'/> <meta content='3740589649736485194' itemprop='postId'/> <a name='3740589649736485194'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://recursed.blogspot.com/2011/06/phillies-games-old-and-new.html'>Phillies Games, Old and New</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-3740589649736485194' itemprop='description articleBody'> We attended two games in Pittsburgh this past weekend. Pittsburgh is 5 hours away from where I live, but it's still the closest National League city to us. Since son #2 is a big Phillies fan, it's a reasonable choice. <br /><br />We weren't alone. I'd guess that, conservatively, about a third of the people attending the games were Phillies fans. Red shirts were everywhere. <br /><br />When I was a kid, nobody wore t-shirts or jerseys with the names of their favorite players. Now everybody does. And when I was a kid, everybody bought and waved pennants with the name of the team on them. Now nobody does. <br /><br />I still remember my first game really clearly. It was on July 9 1967 at Connie Mack Stadium in Philadelphia. We got there early, sitting in our great front-row seats that cost only $3.25 each. During "pepper" before the game, a ball bounced near the little railing, and my father reached down and picked it up! I had my first real official major league baseball, and I never got another ball again since then.<br /><br />Back in '67 the Phillies had some good players (Johnny Callison, Richie Allen, Cookie Rojas, Jim Bunning) but overall they were pretty mediocre. But on July 9, against the Cardinals, they produced practically the best first game a ten-year-old could see. In the 8th inning, Richie Allen hit one of the longest home runs ever at Connie Mack Stadium to tie the game. And then, in the bottom of the 10th, Tony Gonzalez pinch-hit the winning home run. Perfect!<br /><br />But back to 2011. PNC Park is a really nice place to watch a game. Even the cheap seats were pretty good, and there is a spectacular view of the Pittsburgh skyline in the outfield. <br /><br />We got there early for both games. On Friday we hung out in left field and watched batting practice. Ryan Madson, who has a bit of a reputation for being a jerk, confirmed it for us when he deliberately teased fans by pretending to throw them a ball, and then throwing it on the grass instead and laughing. <br /><br />I'm glad to say that not all the players are like that. On Sunday we got there early to watch batting practice, and hung out by the right field line. There were a lot of pitchers shagging fly balls, including J. C. Romero, Kyle Kendrick, José Contreras, Danys Báez, and Cliff Lee. Danys Báez came over and tossed son #2 a ball, and then later J. C. Romero signed it. <br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdEl70D1ewHRU2ai4UrUDAK4MA6yLcXzvL0RSxVwC238c6LFaEt9RcfYhDdBh-ct-xxSYx_CYyu6ta7OGxzoIxPNvujf0O8r4UebN71qjo09uMswaWJSKkzXp8gwsZnmo-jhJbzQ/s1600/romero.jpg"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5615226354417546354" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdEl70D1ewHRU2ai4UrUDAK4MA6yLcXzvL0RSxVwC238c6LFaEt9RcfYhDdBh-ct-xxSYx_CYyu6ta7OGxzoIxPNvujf0O8r4UebN71qjo09uMswaWJSKkzXp8gwsZnmo-jhJbzQ/s400/romero.jpg" style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 299px; height: 400px;" /></a><br /><br />But then Romero did something really classy: there was another kid with a Cliff Lee jersey that he wanted Lee to sign, but Lee was standing about 60 feet away. So Romero took the jersey over to Lee, had Lee sign it, and then returned it to the kid. Now <i>there's</i> a player who knows how to treat fans.<br /><br />The Phillies lost the first game, but won the second. We got to see Chase Utley make a terrific play in the 7th to save the game, and a great double play by Wilson Valdez. We also got to see Halladay slide at home to score a run, something he apparently hasn't done since high school. <br /><br />All in all, a fun time in Pittsburgh. Son #2 thanks J. C. Romero! <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'> <span class='post-author vcard'> Posted by <span class='fn' itemprop='author' itemscope='itemscope' itemtype='http://schema.org/Person'> <span itemprop='name'>Jeffrey Shallit</span> </span> </span> <span class='post-timestamp'> at <meta content='http://recursed.blogspot.com/2011/06/phillies-games-old-and-new.html' itemprop='url'/> <a class='timestamp-link' href='http://recursed.blogspot.com/2011/06/phillies-games-old-and-new.html' rel='bookmark' title='permanent link'><abbr class='published' itemprop='datePublished' title='2011-06-06T16:59:00-04:00'>4:59 PM</abbr></a> </span> <span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/20067416/3740589649736485194' onclick=''> 1 comment: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/20067416/3740589649736485194' title='Email Post'> <img alt='' class='icon-action' height='13' src='https://resources.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-579009720'> <a href='https://www.blogger.com/post-edit.g?blogID=20067416&postID=3740589649736485194&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <div class='post-share-buttons goog-inline-block'> </div> </div> <div class='post-footer-line post-footer-line-2'> <span class='post-labels'> Labels: <a href='http://recursed.blogspot.com/search/label/baseball' rel='tag'>baseball</a>, <a href='http://recursed.blogspot.com/search/label/J.%20C.%20Romero' rel='tag'>J. C. Romero</a>, <a href='http://recursed.blogspot.com/search/label/Phillies' rel='tag'>Phillies</a> </span> </div> <div class='post-footer-line post-footer-line-3'> <span class='post-location'> </span> </div> </div> </div> </div> </div></div> </div> <div class='blog-pager' id='blog-pager'> <span id='blog-pager-newer-link'> <a class='blog-pager-newer-link' href='http://recursed.blogspot.com/search?updated-max=2012-05-27T13:00:00-04:00&max-results=100&reverse-paginate=true' id='Blog1_blog-pager-newer-link' title='Newer Posts'>Newer Posts</a> </span> <span id='blog-pager-older-link'> <a class='blog-pager-older-link' href='http://recursed.blogspot.com/search?updated-max=2011-06-06T16:59:00-04:00' id='Blog1_blog-pager-older-link' title='Older Posts'>Older Posts</a> </span> <a class='home-link' href='http://recursed.blogspot.com/'>Home</a> </div> <div class='clear'></div> <div class='blog-feeds'> <div class='feed-links'> Subscribe to: <a class='feed-link' href='http://recursed.blogspot.com/feeds/posts/default' target='_blank' type='application/atom+xml'>Posts (Atom)</a> </div> </div> </div></div> </div> <div id='sidebar-wrapper'> <div class='sidebar section' id='sidebar'><div class='widget Image' data-version='1' id='Image1'> <h2>-</h2> <div class='widget-content'> <img alt='-' height='227' id='Image1_img' src='https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEio37WuIFScFiF-SVXAe3OdqTu1s2jfLoJAcrgz5szwlqKND83BLy_Re7IgcuvRoRboz_dZKeaFUMxuSRAFBN1KnBgLhyNHg20-o7BqtHfFNBflQbrjxGeATth7SACfnfP61inGBQ/s227/jeff-math.jpg' width='226'/> <br/> <span class='caption'>Jeffrey Shallit</span> </div> <div class='clear'></div> </div><div class='widget Text' data-version='1' id='Text1'> <div class='widget-content'> American mathematician, professor of computer science at a major Canadian university, & skeptic. <div><br /></div><div>All comments are moderated to remove spam and duplication. 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class='post-count-link' href='http://recursed.blogspot.com/2015/09/'> September </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/08/'> August </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/07/'> July </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/06/'> June </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/03/'> March </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2015/01/'> January </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/'> 2014 </a> <span class='post-count' dir='ltr'>(76)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/12/'> December </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/11/'> November </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/09/'> September </a> <span class='post-count' dir='ltr'>(11)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/08/'> August </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/07/'> July </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/06/'> June </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/05/'> May </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/03/'> March </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/02/'> February </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2014/01/'> January </a> <span class='post-count' dir='ltr'>(10)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/'> 2013 </a> <span class='post-count' dir='ltr'>(127)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/12/'> December </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/11/'> November </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/10/'> October </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/09/'> September </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/08/'> August </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/07/'> July </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/06/'> June </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/05/'> May </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/04/'> April </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/03/'> March </a> <span class='post-count' dir='ltr'>(19)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/02/'> February </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2013/01/'> January </a> <span class='post-count' dir='ltr'>(18)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/'> 2012 </a> <span class='post-count' dir='ltr'>(133)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/12/'> December </a> <span class='post-count' dir='ltr'>(13)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/11/'> November </a> <span class='post-count' dir='ltr'>(11)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/10/'> October </a> <span class='post-count' dir='ltr'>(20)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/09/'> September </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/08/'> August </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/07/'> July </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/06/'> June </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/05/'> May </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/04/'> April </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/03/'> March </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2012/01/'> January </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> ▼  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/'> 2011 </a> <span class='post-count' dir='ltr'>(96)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/12/'> December </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/11/'> November </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/10/'> October </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/09/'> September </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/08/'> August </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/07/'> July </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> ▼  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/06/'> June </a> <span class='post-count' dir='ltr'>(9)</span> <ul class='posts'> <li><a href='http://recursed.blogspot.com/2011/06/avoiding-sum-cubes.html'>Avoiding Sum Cubes</a></li> <li><a href='http://recursed.blogspot.com/2011/06/more-lousy-reporting-from-record.html'>More Lousy Reporting from the Record</a></li> <li><a href='http://recursed.blogspot.com/2011/06/more-egnorance.html'>More Egnorance</a></li> <li><a href='http://recursed.blogspot.com/2011/06/waterloo-region-school-board-ends.html'>Waterloo Region School Board Ends Gideon Distribution</a></li> <li><a href='http://recursed.blogspot.com/2011/06/mary-is-ideal-christian.html'>Mary is the Ideal Christian?</a></li> <li><a href='http://recursed.blogspot.com/2011/06/t-shirt-contest.html'>T-Shirt Idea</a></li> <li><a href='http://recursed.blogspot.com/2011/06/yet-another-boring-attack-on.html'>Yet Another Boring Attack on Materialism</a></li> <li><a href='http://recursed.blogspot.com/2011/06/doug-groothuis-endorses-bachmann.html'>Doug Groothuis endorses Bachmann</a></li> <li><a href='http://recursed.blogspot.com/2011/06/phillies-games-old-and-new.html'>Phillies Games, Old and New</a></li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/05/'> May </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/04/'> April </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/03/'> March </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/02/'> February </a> <span class='post-count' dir='ltr'>(11)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2011/01/'> January </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/'> 2010 </a> <span class='post-count' dir='ltr'>(133)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/12/'> December </a> <span class='post-count' dir='ltr'>(10)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/11/'> November </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/10/'> October </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/09/'> September </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/08/'> August </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/07/'> July </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/06/'> June </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/05/'> May </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/04/'> April </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/03/'> March </a> <span class='post-count' dir='ltr'>(18)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/02/'> February </a> <span class='post-count' dir='ltr'>(18)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2010/01/'> January </a> <span class='post-count' dir='ltr'>(20)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/'> 2009 </a> <span class='post-count' dir='ltr'>(116)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/12/'> December </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/11/'> November </a> <span class='post-count' dir='ltr'>(25)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/10/'> October </a> <span class='post-count' dir='ltr'>(16)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/09/'> September </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/08/'> August </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/07/'> July </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/06/'> June </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/05/'> May </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/03/'> March </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/02/'> February </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2009/01/'> January </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/'> 2008 </a> <span class='post-count' dir='ltr'>(102)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/12/'> December </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/11/'> November </a> <span class='post-count' dir='ltr'>(7)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/10/'> October </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/08/'> August </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/07/'> July </a> <span class='post-count' dir='ltr'>(13)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/06/'> June </a> <span class='post-count' dir='ltr'>(10)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/05/'> May </a> <span class='post-count' dir='ltr'>(13)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/04/'> April </a> <span class='post-count' dir='ltr'>(13)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/03/'> March </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2008/01/'> January </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/'> 2007 </a> <span class='post-count' dir='ltr'>(78)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/12/'> December </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/10/'> October </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/09/'> September </a> <span class='post-count' dir='ltr'>(22)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/08/'> August </a> <span class='post-count' dir='ltr'>(9)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/07/'> July </a> <span class='post-count' dir='ltr'>(10)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/06/'> June </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/05/'> May </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/04/'> April </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/02/'> February </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2007/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/'> 2006 </a> <span class='post-count' dir='ltr'>(65)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/12/'> December </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/11/'> November </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/08/'> August </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/07/'> July </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/05/'> May </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/04/'> April </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/03/'> March </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/02/'> February </a> <span class='post-count' dir='ltr'>(13)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2006/01/'> January </a> <span class='post-count' dir='ltr'>(12)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2005/'> 2005 </a> <span class='post-count' dir='ltr'>(14)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </span> </a> <a class='post-count-link' href='http://recursed.blogspot.com/2005/12/'> December </a> <span class='post-count' dir='ltr'>(14)</span> </li> </ul> </li> </ul> </div> </div> <div class='clear'></div> </div> </div><div class='widget LinkList' data-version='1' id='LinkList1'> <h2>Other Blogs to Visit</h2> <div class='widget-content'> <ul> <li><a href='http://scienceblogs.com/dispatches/'>Dispatches from the Culture Wars</a></li> <li><a href='http://www.scienceblogs.com/evolutionblog/'>Jason Rosenhouse's Evolutionblog</a></li> <li><a href='http://lippard.blogspot.com/'>Jim Lippard's Blog</a></li> <li><a href='http://www.scienceblogs.com/pharyngula'>Pharyngula</a></li> <li><a href='http://www.scottaaronson.com/blog/'>Shtetl-Optimized</a></li> <li><a href='http://www.talkreason.org/'>Talk Reason</a></li> <li><a href='http://www.pandasthumb.org/'>The Panda's Thumb</a></li> </ul> <div class='clear'></div> </div> </div> </div> </div> <!-- spacer for skins that want sidebar and main to be the same height--> <div class='clear'> </div> </div> <!-- end content-wrapper --> </div></div> <!-- end outer-wrapper --> <script type="text/javascript" src="https://www.blogger.com/static/v1/widgets/1455187647-widgets.js"></script> <script type='text/javascript'> window['__wavt'] = 'AOuZoY4uLHFhHyOSgAZ3NjEcJh0MrXqmGw:1743522251558';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d20067416','//recursed.blogspot.com/2011/06/','20067416'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '20067416', 'title': 'Recursivity', 'url': 'http://recursed.blogspot.com/2011/06/', 'canonicalUrl': 'http://recursed.blogspot.com/2011/06/', 'homepageUrl': 'http://recursed.blogspot.com/', 'searchUrl': 'http://recursed.blogspot.com/search', 'canonicalHomepageUrl': 'http://recursed.blogspot.com/', 'blogspotFaviconUrl': 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