{"id":1380,"date":"2025-09-27T18:14:58","date_gmt":"2025-09-27T22:14:58","guid":{"rendered":"https:\/\/qrpascal.com\/?p=1380"},"modified":"2025-09-28T10:38:25","modified_gmt":"2025-09-28T14:38:25","slug":"category-theoretic-paradigm-shift-proposed-by-arfi","status":"publish","type":"post","link":"https:\/\/qrpascal.com\/index.php\/2025\/09\/27\/category-theoretic-paradigm-shift-proposed-by-arfi\/","title":{"rendered":"Category-Theoretic Paradigm Shift Proposed by Arfi"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Category-Theoretic Openings in Quantum IR<\/h2>\n\n\n\n<p>Chapter 11 of&nbsp;<em>Quantum International Relations<\/em>&nbsp;invites social theories to change perspective. Drawing on&nbsp;category theory, Badredine Arfi suggests that we can view social life not as fixed substances (states, leaders, borders) but as&nbsp;relations between relations. <\/p>\n\n\n\n<p><em>Badredine Arfi is a professor of political science<\/em>. <\/p>\n\n\n\n<p>In category-theoretic language, the&nbsp;<em>objects<\/em>&nbsp;are less important than the&nbsp;<em>arrows<\/em>, the transformations themselves.<\/p>\n\n\n\n<p>From an IR perspective this is quietly radical. It tells us that a treaty, a security dilemma, or a cultural exchange is not merely an interaction between pre-given actors. Each is an&nbsp;<em>operation that redefines the very actors involved,<\/em> a dynamic echo of quantum concepts like&nbsp;superposition&nbsp;and&nbsp;entanglement.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The Current Paradigm Through Arfi\u2019s Category Lens<\/h2>\n\n\n\n<p>Arfi begins by diagnosing where International Relations still stands today.<br>Despite decades of critique, the dominant frame remains&nbsp;neo-positivist and substance-oriented. States, markets, and even \u201cglobal civil society\u201d are considered&nbsp;given objects&nbsp;that interact through measurable variables. In categorical terms, this is an&nbsp;object-first ontology: the emphasis is on stable \u201cnodes\u201d (states, institutions, agents) and on functions that merely transfer properties from one node to another.<\/p>\n\n\n\n<p>Several features of this paradigm stand out:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Linear Causality<\/strong>&nbsp;\u2013 Social science organizes around input-output chains. Events are explained as if arrows were one-way morphisms carrying pre-fixed attributes.<\/li>\n\n\n\n<li><strong>Set-Theoretic Thinking<\/strong>&nbsp;\u2013 Actors are conceived as elements of sets with clear boundaries. Relations are secondary, something to be added after the fact.<\/li>\n\n\n\n<li><strong>Representational Epistemology<\/strong>&nbsp;\u2013 Knowledge is seen as mirroring an external reality. Observers stand outside what they describe, rather than co-constituting it.<\/li>\n<\/ul>\n\n\n\n<p>Arfi calls this the&nbsp;<strong>category-theoretic deficit<\/strong>&nbsp;of mainstream IR.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Category-theoretic Quantum Turn (Wendt &amp; Der Derian)<\/h2>\n\n\n\n<p>Alexander Wendt and James Der Derian frame quantum IR around ideas such as&nbsp;observer effect, entanglement, and resonance.<br>Arfi\u2019s category-theoretic move complements this by giving it mathematical shape:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Meaning as a web of morphisms<\/strong>: language and identity emerge only within the total network (a \u201cquantum holism\u201d that Wendt highlights in his own discussion of language and meaning).<\/li>\n\n\n\n<li><strong>Politics as composition of transformations<\/strong>: negotiations or conflicts are chains of morphisms, where each link changes the meaning of the next.<\/li>\n<\/ul>\n\n\n\n<p>Seen together, these insights nudge us toward a diplomacy that is less about actions of \u201cthings\u201d and more about&nbsp;processes of becoming.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Category-Theoretic Takeaway<\/h2>\n\n\n\n<p>If social reality is a living category, then today\u2019s choices are not endpoints but&nbsp;<strong>arrows of potential<\/strong>, always capable of new composition.<\/p>\n\n\n\n<p>For those of us building long projects (whether an index of global coherence or a personal creative adventure) that view is grounding. We are not late or early; we are simply&nbsp;<em>mid-arrow<\/em>, free to compose the next morphism.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"583\" height=\"1024\" src=\"https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436-583x1024.jpeg\" alt=\"\" class=\"wp-image-1387\" style=\"width:389px;height:auto\" srcset=\"https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436-583x1024.jpeg 583w, https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436-171x300.jpeg 171w, https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436-768x1348.jpeg 768w, https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436-615x1080.jpeg 615w, https:\/\/qrpascal.com\/wp-content\/uploads\/2025\/09\/IMG_3436.jpeg 842w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>References<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Arfi, B. (2022). Category-theoretic proposition of social theoretical approaches. In A. Wendt &amp; J. Der Derian (Eds.),&nbsp;<em>Quantum international relations: A human science for world politics<\/em>&nbsp;(pp. [215-243]). Oxford University Press.<\/li>\n\n\n\n<li>Sydney, P. Q. (2021, 7 junio).&nbsp;<em>Q2: Interview with Badredine Arfi<\/em>. Project Q.&nbsp;<a href=\"https:\/\/projectqsydney.com\/multimedia\/q2-interview-with-badredine-arfi\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/projectqsydney.com\/multimedia\/q2-interview-with-badredine-arfi\/ <\/a><\/li>\n\n\n\n<li><em>Badredine Arfi | Department of Political Science<\/em>. (s.&nbsp;f.).&nbsp;<a href=\"https:\/\/people.clas.ufl.edu\/barfi\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/people.clas.ufl.edu\/barfi\/<\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Category-Theoretic Openings in Quantum IR Chapter 11 of&nbsp;Quantum International Relations&nbsp;invites social theories to change perspective. Drawing on&nbsp;category theory, Badredine Arfi suggests that we can view social life not as fixed substances (states, leaders, borders) but as&nbsp;relations between relations. Badredine Arfi is a professor of political science. In category-theoretic language, the&nbsp;objects&nbsp;are less important than the&nbsp;arrows, the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1381,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"saved_in_kubio":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1,123,222],"tags":[261,209,28],"class_list":["post-1380","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","category-ai-assisted","category-quantum-topics","tag-category-theoretical","tag-quantum","tag-theory"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Category-Theoretic Paradigm Shift Proposed by Arfi<\/title>\n<meta name=\"description\" content=\"Category-theoretic IR: Badredine Arfi\u2018s perspective on how object-first, linear models miss the quantum reality of world 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