{"id":5011,"date":"2011-08-12T06:02:46","date_gmt":"2011-08-12T14:02:46","guid":{"rendered":"http:\/\/www.oeconomist.com\/blogs\/daniel\/?p=5011"},"modified":"2011-08-25T08:58:24","modified_gmt":"2011-08-25T16:58:24","slug":"quantifying-evidence","status":"publish","type":"post","link":"https:\/\/www.oeconomist.com\/blogs\/daniel\/?p=5011","title":{"rendered":"Quantifying Evidence"},"content":{"rendered":"<div><blockquote>The only novel thing <span style=\"font-style: italic ;\">&#91;in the Dark Ages&#93;<\/span> concerning probability is the following remarkable text, which appears in the <cite>False Decretals<\/cite>, an influential mixture of old papal letters, quotations taken out of context, and outright forgeries put together somewhere in Western Europe about 850.  The passage itself may be much older. <q>A bishop should not be condemned except with seventy-two witnesses &#8230; a cardinal  priest should not be condemned except with forty-four witnesses, a cardinal deacon of the city of Rome without thirty-six witnesses, a subdeacon, acolyte, exorcist, lector, or doorkeeper except with seven witnesses.<\/q>&#8313;  It is the world's first quantitative theory of probability.  Which shows why being quantitative about probability is not necessarily a good thing.<\/blockquote> <div style=\"padding-left: 50% ; padding-right: 30px ;\"><a href=\"http:\/\/web.maths.unsw.edu.au\/~jim\/\">James Franklin<\/a><br \/><cite>The Science of Conjecture: Evidence and Probability before Pascal<\/cite><br \/>Chapter 2<\/div><\/div> <p>(Actually, there is some evidence that a quantitative theory of probability developed and then disappeared in ancient India.<span style=\"vertical-align: top ; font-size: smaller ;\">&#91;10&#93;<\/span>  But Franklin's essential point here is none-the-less well-taken.)<\/p> <hr width=\"50%\" align=\"left\" \/> <p>&#8313; Foot-note in the original, citing <a href=\"http:\/\/books.google.com\/books?id=6dMPAAAAYAAJ&oe=UTF-8\"><cite>Decretales Pseudo-Isidorianae, et Capitula Angilramni<\/cite> edited by Paul Hinschius<\/a>, and recommending comparison with <cite>The Collection in Seventy-Four Titles: A Canon Law Manual of the Gregorian Reform<\/cite> edited by John Gilchrist.<\/p> <p><span style=\"vertical-align: top ; font-size: smaller ;\">&#91;10&#93;<\/span> In <cite>The Story of Nala and Damayanti<\/cite> within the <cite>Mah&#257;bh&#257;rata<\/cite>, there is a character Rtuparna (<abbr title=\"also known as\">aka<\/abbr> <q>Rituparna<\/q>, and mistakenly as <q>Rtupama<\/q> and as <q>Ritupama<\/q>) who seems to have a marvelous understanding of <em>sampling<\/em> and is a master of dice-play.  I learned about Rtuparna by way of Ian Hacking's outstanding <cite>The Emergence of Probability<\/cite>; Hacking seems to have learned of it by way of V.P. Godambe, who noted the apparent implication in <q>A historical perspective of the recent developments in the theory of sampling from actual populations<\/q>, <cite>Journal of the Indian Society of Agricultural Statistics<\/cite> v. 38 #1 (Apr 1976) pp 1-12.<\/p>","protected":false},"excerpt":{"rendered":"The only novel thing &#91;in the Dark Ages&#93; concerning probability is the following remarkable text, which appears in the False Decretals, an influential mixture of old papal letters, quotations taken out of context, and outright forgeries put together somewhere in Western Europe about 850. The passage itself may be much older. A bishop should not [&hellip;]","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[720,4],"tags":[299,413,1006],"class_list":["post-5011","post","type-post","status-publish","format-standard","hentry","category-epistemology","category-public","tag-decision-theory","tag-probability","tag-quantification"],"_links":{"self":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts\/5011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5011"}],"version-history":[{"count":0,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts\/5011\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}