{"id":8606,"date":"2026-08-24T19:43:47","date_gmt":"2026-08-24T16:43:47","guid":{"rendered":"https:\/\/dialexity.com\/blog\/?p=8606"},"modified":"2026-08-27T15:32:35","modified_gmt":"2026-08-27T12:32:35","slug":"quaternionic-cognitive-geometry","status":"publish","type":"post","link":"https:\/\/dialexity.com\/blog\/quaternionic-cognitive-geometry\/","title":{"rendered":"Quaternionic Cognitive Geometry"},"content":{"rendered":"\n<p>Here we introduce <a href=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/Quaternionic-Formalism-24-Cell.pdf\">the 3rd article<\/a> in a series developing Structured Dialectics into a general framework for understanding complex systems. The first described the <a href=\"https:\/\/dialexity.com\/blog\/structured-dialectics-consolidated-manuscript\/\">general principles and applications<\/a> in completing scientific theories and generating new ideas. The second described <a href=\"https:\/\/dialexity.com\/blog\/dialectical-synthesis-on-the-complex-plane\/\">Dialectical Synthesis on the Complex Plane<\/a>, introducing systemic resistance and adaptive capacity as two parameters universally applicable to all systems.<\/p>\n\n\n\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:49% auto\"><figure class=\"wp-block-media-text__media\"><a href=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/image.png\"><img loading=\"lazy\" decoding=\"async\" width=\"926\" height=\"650\" src=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/image.png\" alt=\"\" class=\"wp-image-8608 size-full\" srcset=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/image.png 926w, https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/image-300x211.png 300w, https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/image-768x539.png 768w\" sizes=\"auto, (max-width: 926px) 100vw, 926px\" \/><\/a><\/figure><div class=\"wp-block-media-text__content\">\n<p>This one <a href=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/Quaternionic-Formalism-24-Cell.pdf\">extends the model to 4D space<\/a>, effectively providing a periodic-table-like framework for formalizing psychology, psychiatry, and spiritual sciences. <\/p>\n\n\n\n<p>Later, I will add Supplementary Material that will hopefully help identify problems at the temperamental, affective, personality, and persona levels.<\/p>\n<\/div><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/Quaternionic-Formalism-24-Cell.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Quaternionic Formalism 24-Cell.\"><\/object><a id=\"wp-block-file--media-c0c48cb4-d5db-44fd-b2ab-8abb2b71f7ed\" href=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/Quaternionic-Formalism-24-Cell.pdf\">Quaternionic Formalism 24-Cell<\/a><a href=\"https:\/\/dialexity.com\/blog\/wp-content\/uploads\/2026\/08\/Quaternionic-Formalism-24-Cell.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c0c48cb4-d5db-44fd-b2ab-8abb2b71f7ed\">Download<\/a><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">See Also:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/dialexity.com\/blog\/structured-dialectics-consolidated-manuscript\/\">Introducing Structured Dialectics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/dialexity.com\/blog\/dialectical-synthesis-on-the-complex-plane\/\">Dialectical Synthesis on a Complex Plane<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/dialexity.com\/blog\/6280-2\/\">Breaking False Certainty<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/dialexity.com\/blog\/breaking-false-certainty\/\">Breaking False Certainty with Eye Opener<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/dialexity.com\/blog\/eye-opener-a-systems-thinking-tool-for-seeing-more\/\">Eye Opener Overview<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/github.com\/dialexity\/dialectical-framework\">Dialectical Framework on Github<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here we introduce the 3rd article in a series developing Structured Dialectics into a general framework for understanding complex systems. [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-8606","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/posts\/8606","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/comments?post=8606"}],"version-history":[{"count":18,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/posts\/8606\/revisions"}],"predecessor-version":[{"id":8636,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/posts\/8606\/revisions\/8636"}],"wp:attachment":[{"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/media?parent=8606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/categories?post=8606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dialexity.com\/blog\/wp-json\/wp\/v2\/tags?post=8606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}