{"id":4276,"date":"2023-05-15T19:08:12","date_gmt":"2023-05-15T19:08:12","guid":{"rendered":"https:\/\/isipta23.sipta.org\/?page_id=4276"},"modified":"2023-07-14T10:46:51","modified_gmt":"2023-07-14T10:46:51","slug":"long-debock","status":"publish","type":"page","link":"https:\/\/isipta23.sipta.org\/accepted-papers\/long-debock\/","title":{"rendered":"Long De Bock"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4276\" class=\"elementor elementor-4276\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t\t\t\t<section data-eae-particle=\"{\n  &quot;particles&quot;: {\n    &quot;number&quot;: {\n      &quot;value&quot;: 80,\n      &quot;density&quot;: {\n        &quot;enable&quot;: true,\n        &quot;value_area&quot;: 800\n      }\n    },\n    &quot;color&quot;: {\n      &quot;value&quot;: &quot;#ffffff&quot;\n    },\n    &quot;shape&quot;: {\n      &quot;type&quot;: &quot;circle&quot;,\n      &quot;stroke&quot;: {\n        &quot;width&quot;: 0,\n        &quot;color&quot;: &quot;#000000&quot;\n      },\n      &quot;polygon&quot;: {\n        &quot;nb_sides&quot;: 5\n      },\n      &quot;image&quot;: {\n        &quot;src&quot;: &quot;img\/github.svg&quot;,\n        &quot;width&quot;: 100,\n        &quot;height&quot;: 100\n      }\n    },\n    &quot;opacity&quot;: {\n      &quot;value&quot;: 0.5,\n      &quot;random&quot;: false,\n      &quot;anim&quot;: {\n        &quot;enable&quot;: false,\n        &quot;speed&quot;: 1,\n        &quot;opacity_min&quot;: 0.1,\n        &quot;sync&quot;: false\n      }\n    },\n    &quot;size&quot;: {\n      &quot;value&quot;: 3,\n      &quot;random&quot;: true,\n      &quot;anim&quot;: {\n        &quot;enable&quot;: false,\n        &quot;speed&quot;: 40,\n        &quot;size_min&quot;: 0.1,\n        &quot;sync&quot;: false\n      }\n    },\n    &quot;line_linked&quot;: {\n      &quot;enable&quot;: true,\n      &quot;distance&quot;: 150,\n      &quot;color&quot;: &quot;#ffffff&quot;,\n      &quot;opacity&quot;: 0.4,\n      &quot;width&quot;: 1\n    },\n    &quot;move&quot;: {\n      &quot;enable&quot;: true,\n      &quot;speed&quot;: 6,\n      &quot;direction&quot;: &quot;none&quot;,\n      &quot;random&quot;: false,\n      &quot;straight&quot;: false,\n      &quot;out_mode&quot;: &quot;out&quot;,\n      &quot;bounce&quot;: false,\n      &quot;attract&quot;: {\n        &quot;enable&quot;: false,\n        &quot;rotateX&quot;: 600,\n        &quot;rotateY&quot;: 1200\n      }\n    }\n  },\n  &quot;interactivity&quot;: {\n    &quot;detect_on&quot;: &quot;canvas&quot;,\n    &quot;events&quot;: {\n      &quot;onhover&quot;: {\n        &quot;enable&quot;: true,\n        &quot;mode&quot;: &quot;repulse&quot;\n      },\n      &quot;onclick&quot;: {\n        &quot;enable&quot;: true,\n        &quot;mode&quot;: &quot;push&quot;\n      },\n      &quot;resize&quot;: true\n    },\n    &quot;modes&quot;: {\n      &quot;grab&quot;: {\n        &quot;distance&quot;: 400,\n        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data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z 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elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd1ef36 elementor-widget elementor-widget-image\" data-id=\"cd1ef36\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"128\" src=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png\" class=\"attachment-large size-large wp-image-546\" alt=\"LogoISIPTA23-long-white\" srcset=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-1024x128.png 1024w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-300x38.png 300w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white-768x96.png 768w, https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2022\/08\/LogoISIPTA23-long-white.png 1284w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-017a3c3 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"017a3c3\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-divider{--divider-border-style:none;--divider-border-width:1px;--divider-color:#0c0d0e;--divider-icon-size:20px;--divider-element-spacing:10px;--divider-pattern-height:24px;--divider-pattern-size:20px;--divider-pattern-url:none;--divider-pattern-repeat:repeat-x}.elementor-widget-divider .elementor-divider{display:flex}.elementor-widget-divider .elementor-divider__text{font-size:15px;line-height:1;max-width:95%}.elementor-widget-divider .elementor-divider__element{margin:0 var(--divider-element-spacing);flex-shrink:0}.elementor-widget-divider .elementor-icon{font-size:var(--divider-icon-size)}.elementor-widget-divider .elementor-divider-separator{display:flex;margin:0;direction:ltr}.elementor-widget-divider--view-line_icon .elementor-divider-separator,.elementor-widget-divider--view-line_text .elementor-divider-separator{align-items:center}.elementor-widget-divider--view-line_icon .elementor-divider-separator:after,.elementor-widget-divider--view-line_icon .elementor-divider-separator:before,.elementor-widget-divider--view-line_text .elementor-divider-separator:after,.elementor-widget-divider--view-line_text .elementor-divider-separator:before{display:block;content:\"\";border-bottom:0;flex-grow:1;border-top:var(--divider-border-width) var(--divider-border-style) var(--divider-color)}.elementor-widget-divider--element-align-left .elementor-divider .elementor-divider-separator>.elementor-divider__svg:first-of-type{flex-grow:0;flex-shrink:100}.elementor-widget-divider--element-align-left .elementor-divider-separator:before{content:none}.elementor-widget-divider--element-align-left .elementor-divider__element{margin-left:0}.elementor-widget-divider--element-align-right .elementor-divider .elementor-divider-separator>.elementor-divider__svg:last-of-type{flex-grow:0;flex-shrink:100}.elementor-widget-divider--element-align-right .elementor-divider-separator:after{content:none}.elementor-widget-divider--element-align-right .elementor-divider__element{margin-right:0}.elementor-widget-divider:not(.elementor-widget-divider--view-line_text):not(.elementor-widget-divider--view-line_icon) .elementor-divider-separator{border-top:var(--divider-border-width) var(--divider-border-style) var(--divider-color)}.elementor-widget-divider--separator-type-pattern{--divider-border-style:none}.elementor-widget-divider--separator-type-pattern.elementor-widget-divider--view-line .elementor-divider-separator,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:after,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:before,.elementor-widget-divider--separator-type-pattern:not([class*=elementor-widget-divider--view]) .elementor-divider-separator{width:100%;min-height:var(--divider-pattern-height);-webkit-mask-size:var(--divider-pattern-size) 100%;mask-size:var(--divider-pattern-size) 100%;-webkit-mask-repeat:var(--divider-pattern-repeat);mask-repeat:var(--divider-pattern-repeat);background-color:var(--divider-color);-webkit-mask-image:var(--divider-pattern-url);mask-image:var(--divider-pattern-url)}.elementor-widget-divider--no-spacing{--divider-pattern-size:auto}.elementor-widget-divider--bg-round{--divider-pattern-repeat:round}.rtl .elementor-widget-divider .elementor-divider__text{direction:rtl}.e-con-inner>.elementor-widget-divider,.e-con>.elementor-widget-divider{width:var(--container-widget-width,100%);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9adf215 elementor-widget elementor-widget-heading\" data-id=\"9adf215\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">De Bock<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fac39ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fac39ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-daa0aae\" data-id=\"daa0aae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4d9d71 elementor-widget elementor-widget-text-editor\" data-id=\"b4d9d71\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<a class=\"boton-volver\" href=\"javascript:history.back()\">\u2aa1 Back<\/a>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-99180d5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"99180d5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1cf27c4\" data-id=\"1cf27c4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-63d4f60 elementor-widget elementor-widget-heading\" data-id=\"63d4f60\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">A Theory of Desirable Things<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56b42ba elementor-widget elementor-widget-heading\" data-id=\"56b42ba\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<span class=\"elementor-heading-title elementor-size-default\">Inspired by the theory of desirable gambles that is used to model uncertainty in the field of imprecise probabilities, I present a theory of desirable things. Its aim is to model a subject's beliefs about which things are desirable. What the things are is not important, nor is what it means for them to be desirable. It can be applied to gambles, calling them desirable if a subject accepts them, but also to pizzas, calling them desirable if my friend Arthur likes to eat them. \nRegardless of the particular things that are considered, inference rules are imposed by means of an abstract closure operator, and models that adhere to these rules are called coherent. I consider two types of models, each of which can capture a subject's beliefs about which things are desirable: sets of desirable things and sets of desirable sets of things. A crucial result is that the latter type can be represented by a set of the former.<\/span>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-af3458a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"af3458a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7fba8c9\" data-id=\"7fba8c9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e69d5b7 oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"e69d5b7\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/06\/debock23a.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>PAPER<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b6230f3\" data-id=\"b6230f3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d1bdc5d oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"d1bdc5d\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/07\/1DeBock.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>PRESENTATION<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e13504e\" data-id=\"e13504e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-63f2dcf oew-align-center elementor-widget elementor-widget-oew-button-effects\" data-id=\"63f2dcf\" data-element_type=\"widget\" data-widget_type=\"oew-button-effects.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n\r\n\t\t<div class=\"oew-button oew-btn-effect-30\">\r\n\t\t\t<a href=\"https:\/\/isipta23.sipta.org\/wp-content\/uploads\/2023\/07\/debock-poster.pdf\" class=\"oew-link\">\r\n\t\t\t\t\r\n\t\t\t\t<span>POSTER<\/span>\r\n\r\n\t\t\t\t\t\t\t<\/a>\r\n\t\t<\/div>\r\n\r\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dd2b88d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dd2b88d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e2b8390\" data-id=\"e2b8390\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9aa4b4 elementor-widget elementor-widget-text-editor\" data-id=\"e9aa4b4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<a class=\"boton-volver\" href=\"javascript:history.back()\">\u2aa1 Back<\/a>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>De Bock \u2aa1 Back A Theory of Desirable Things Inspired by the theory of desirable gambles that is used to model uncertainty in the field of imprecise probabilities, I present a theory of desirable things. Its aim is to model a subject&#8217;s beliefs about which things are desirable. What the things are is not important, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3821,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Long De Bock - ISIPTA 2023<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/isipta23.sipta.org\/accepted-papers\/long-debock\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Long De Bock - ISIPTA 2023\" \/>\n<meta property=\"og:description\" content=\"De Bock \u2aa1 Back A Theory of Desirable Things Inspired by the theory of desirable gambles that is used to model uncertainty in the field of imprecise probabilities, I present a theory of desirable things. Its aim is to model a subject&#8217;s beliefs about which things are desirable. 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