{"id":568,"date":"2003-01-18T03:25:00","date_gmt":"2003-01-18T03:25:00","guid":{"rendered":"http:\/\/gnodal.protension.com\/journal\/?p=341"},"modified":"2010-03-30T18:34:55","modified_gmt":"2010-03-31T01:34:55","slug":"341-2","status":"publish","type":"post","link":"http:\/\/gnodal.protension.com\/journal\/archives\/568","title":{"rendered":"Topoi and Conceptualization"},"content":{"rendered":"<p>Whooo-boy! Yessir, nothing like reading old files to get a sense of how one has come to be the person one has come to be! If my old collection of HyperNews related items was not enough of a chocker *waves and shouts to Daniel LaLiberte; may he always drink deep and prosper*, I found another directory full of items relating to *<b>what else<\/b>?* <i>topoi<\/i>. What is this about? Well, let me tell you about my theory of how strange attractors play a role in the cognitive processes of conceptualization. <b>!now<\/b>. Okay, instead, let me share this with you &#8230; I had a local copy of this item, which is still alive on the web!<\/p>\n<blockquote><p><a href=\"http:\/\/math.ucr.edu\/home\/baez\/week68.html\">This Week&#8217;s Finds in Mathematical Physics (Week 68)<\/a> &#8211; October 29, 1995, by John Baez<\/p>\n<blockquote><p>Okay, now the time has come to speak of many things: of topoi, glueballs, communication between branches in the many-worlds interpretation of quantum theory, knots, and quantum gravity. <\/p><\/blockquote>\n<p>1) Robert Goldblatt, Topoi, the Categorial Analysis of Logic, Studies in logic and the foundations of mathematics vol. 98, North-Holland, New York, 1984. <\/p><\/blockquote>\n<p>If you&#8217;ve ever been interested in logic, you&#8217;ve got to read this book. Unless you learn a bit about topoi, you are really missing lots of the fun. The basic idea is simple and profound: abstract the basic concepts of set theory, so as to define the notion of a &#8220;topos&#8221;, a kind of universe like the world of classical logic and set theory, but far more general!&#8221;<\/p><\/blockquote>\n<p>Isn&#8217;t that <i>wonderful<\/i>?! I feel like I&#8217;ve discovered that my clansmen have not all died off! *blush*<\/p>\n<p>\nNow, it&#8217;s just a matter of relating this back to BPML\/N and  <a href=\"http:\/\/www.sbmetta.org\">SMBmetta<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Whooo-boy! Yessir, nothing like reading old files to get a sense of how one has come to be the person<a href=\"http:\/\/gnodal.protension.com\/journal\/archives\/568\" class=\"searchmore\">Read the Rest&#8230;<\/a><\/p>\n<div class=\"clr\"><\/div>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/posts\/568"}],"collection":[{"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/comments?post=568"}],"version-history":[{"count":0,"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/posts\/568\/revisions"}],"wp:attachment":[{"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/media?parent=568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/categories?post=568"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/gnodal.protension.com\/journal\/wp-json\/wp\/v2\/tags?post=568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}