{"id":11516,"date":"2020-11-21T02:45:09","date_gmt":"2020-11-21T10:45:09","guid":{"rendered":"https:\/\/www.oeconomist.com\/blogs\/daniel\/?p=11516"},"modified":"2024-03-14T00:37:55","modified_gmt":"2024-03-14T07:37:55","slug":"missed-article","status":"publish","type":"post","link":"https:\/\/www.oeconomist.com\/blogs\/daniel\/?p=11516","title":{"rendered":"Missed Article"},"content":{"rendered":"<p>I found an article that, had I known of it, I would have noted in <a href=\"https:\/\/doi.org\/10.1017\/S1755020319000480\">my probability paper<\/a>, <span style=\"display: block ; text-align: center ; margin-top: 0.5em ; margin-bottom: 0 ; margin-left: 1em ; margin-right: 1em ;\"><a href=\"https:\/\/james-hawthorne.oucreate.com\/Hawthorne--Qual-Cond-Prob--final.pdf\"><q>A Logic of Comparative Support: Qualitative Conditional Probability Relations Represented by Popper Functions<\/q> by James Allen Hawthorne<br \/>in <cite>Oxford Handbook of Probabilities and Philosophy<\/cite>, edited by Alan H&aacute;jek and Chris Hitchcock<\/a><\/span><\/p> <p>Professor Hawthorne adopts essentially unchanged most of Koopman's axiomata from <a href=\"https:\/\/dx.doi.org\/10.2307\/1969003\"><q>The Axioms and Algebra of Intuitive Probability<\/q><\/a>, but sets aside Koopman's axiom of <span style=\"font-style: italic ;\">Subdivision<\/span>, noting that it <q>may not seem as intuitively compelling as the others<\/q>.  In <a href=\"https:\/\/doi.org\/10.1017\/S1755020319000480\">my own paper<\/a>, I showed that Koopman's axiom of <span style=\"font-style: italic ;\">Subdivision<\/span> was a theorem of a much simpler, more general principle in combination with an axiom that is equivalent to two of the axiomata in <a href=\"https:\/\/dx.doi.org\/10.1090\/S0002-9904-1940-07294-5\">Koopman's later revision<\/a> of his system. (<a href=\"https:\/\/dx.doi.org\/10.1090\/S0002-9904-1940-07294-5\">The article containing that revision<\/a> is not listed in Hawthorne's bibliography.) I provided less radically simpler alternatives to other axiomata, and included axiomata that did not apply to Koopman's purposes in his paper but did to the purposes of a general theory of decision-making.<\/p> ","protected":false},"excerpt":{"rendered":"I found an article that, had I known of it, I would have noted in my probability paper, A Logic of Comparative Support: Qualitative Conditional Probability Relations Represented by Popper Functions by James Allen Hawthornein Oxford Handbook of Probabilities and Philosophy, edited by Alan H&aacute;jek and Chris Hitchcock Professor Hawthorne adopts essentially unchanged most of [&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":[36,720,4],"tags":[1450,413],"class_list":["post-11516","post","type-post","status-publish","format-standard","hentry","category-economics","category-epistemology","category-public","tag-koopman","tag-probability"],"_links":{"self":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts\/11516","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=11516"}],"version-history":[{"count":15,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts\/11516\/revisions"}],"predecessor-version":[{"id":12368,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=\/wp\/v2\/posts\/11516\/revisions\/12368"}],"wp:attachment":[{"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11516"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11516"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oeconomist.com\/blogs\/daniel\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}