{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,27]],"date-time":"2026-06-27T08:34:21Z","timestamp":1782549261522,"version":"3.54.5"},"reference-count":22,"publisher":"Emerald","issue":"9","license":[{"start":{"date-parts":[[2017,11,15]],"date-time":"2017-11-15T00:00:00Z","timestamp":1510704000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["K"],"published-print":{"date-parts":[[2017,11,29]]},"abstract":"<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title>\n<jats:p>This paper aims to introduce the concept and praxis for eigenform in the context of second-order cybernetics.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title>\n<jats:p>The paper is designed as a formal (partly mathematical) introduction with excursions into the applications and meanings of these constructions. Mathematics studies what a distinction would be if there could be a distinction. Mathematics is a special form of fictional design. This study raises the question of \u201cWhat it would mean to go beyond mathematics or for mathematics to go beyond itself?\u201d.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Findings<\/jats:title>\n<jats:p>This study shows how objects in the author\u2019s experience can be seen to be eigenforms and that in this context such objects are a construct of their interactions, linguistic and otherwise experiential. In this way, the author can investigate scientifically without the need for an assumption of objectivity. The author cocreates the universe through the discovery of distinctions and eigenforms in their dialogue with what can be.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Research limitations\/implications<\/jats:title>\n<jats:p>The implications of this research are profound for the performance and exploration of science. The author can explore their role in that creation and find that what they create is independent of significant subsets of their actions.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Practical implications<\/jats:title>\n<jats:p>The practical implications of this study are strongest for the logical understanding of the author\u2019s constructions and actions. They have used eigenform and reflexivity to maintain a clear view of their participation in their own worlds.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Social implications<\/jats:title>\n<jats:p>The social implications are in accordance with the practical implications. The author can now admit that they each produce eigenform models of the others and for themselves. These models have in-depth usage, in that it is understood that one is not identical with their models.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title>\n<jats:p>This paper presents a highly original and very simple way to incorporate second-order cybernetics into all thought and action.<\/jats:p>\n<\/jats:sec>","DOI":"10.1108\/k-11-2016-0306","type":"journal-article","created":{"date-parts":[[2017,11,15]],"date-time":"2017-11-15T04:10:39Z","timestamp":1510719039000},"page":"1542-1554","source":"Crossref","is-referenced-by-count":2,"title":["A concise approach to eigenform and reflexivity"],"prefix":"10.1108","volume":"46","author":[{"given":"Louis H.","family":"Kauffman","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"140","published-online":{"date-parts":[[2017,11,15]]},"reference":[{"key":"key2021041409504247800_ref001","volume-title":"The Lambda Calculus, Its Syntax and Semantic","year":"1985"},{"key":"key2021041409504247800_ref002","volume-title":"Understanding Understanding: Essays on Cybernetics and Cognition","year":"2003"},{"issue":"1","key":"key2021041409504247800_ref003","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/0140-1750(87)90034-0","article-title":"Self-reference and recursive forms","volume":"10","year":"1987","journal-title":"Journal of Social and Biological Structures"},{"issue":"1\/2","key":"key2021041409504247800_ref004","first-page":"79","article-title":"The mathematics of Charles Sanders Peirce","volume":"8","year":"2001","journal-title":"Cybernetics and Human Knowing"},{"issue":"1","key":"key2021041409504247800_ref005","first-page":"99","article-title":"Virtual logic: fragments of the void \u2013 selecta","volume":"11","year":"2004","journal-title":"Cybernetics and Human Knowing"},{"issue":"1\/2","key":"key2021041409504247800_ref006","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1108\/03684920510575780","article-title":"EigenForm","volume":"34","year":"2005","journal-title":"Kybernetes"},{"issue":"3","key":"key2021041409504247800_ref007","first-page":"121","article-title":"Reflexivity and eigenform: the shape of process","volume":"4","year":"2009","journal-title":"Constructivist Foundation"},{"issue":"1","key":"key2021041409504247800_ref008","first-page":"012034","article-title":"Eigenforms, discrete processes and quantum processes","volume":"361","year":"2012","journal-title":"Journal of Physics: Conference Series"},{"issue":"2","key":"key2021041409504247800_ref009","first-page":"112","article-title":"The Russell operator","volume":"7","year":"2012","journal-title":"Constructivist Foundations"},{"issue":"3","key":"key2021041409504247800_ref010","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/j.pbiomolbio.2015.06.015","article-title":"Self-reference, biologic and the structure of reproduction","volume":"119","year":"2015","journal-title":"Progress in Biophysics and Molecular Biology"},{"key":"key2021041409504247800_ref011","first-page":"490","article-title":"Chemlambda, universality and self-multiplication","year":"2014"},{"key":"key2021041409504247800_ref012","volume-title":"The Tree of Knowledge: The Biological Roots of Human Understanding","year":"1987"},{"issue":"1","key":"key2021041409504247800_ref013","first-page":"7","article-title":"Second-order science: a vast and largely unexplored science frontier","volume":"10","year":"2014","journal-title":"Constructivist Foundations"},{"key":"key2021041409504247800_ref014","article-title":"Continuous lattices","year":"1971"},{"key":"key2021041409504247800_ref015","volume-title":"Laws of Form","year":"1969"},{"issue":"1","key":"key2021041409504247800_ref016","first-page":"16","article-title":"Second-order science: logic, strategies, methods","volume":"10","year":"2014","journal-title":"Constructivist Foundations"},{"key":"key2021041409504247800_ref017","volume-title":"Principles of Biological Autonomy","year":"1979"},{"key":"key2021041409504247800_ref018","volume-title":"Tractatus Logico-Philosophicus","year":"1922"},{"key":"key2021041409504247800_ref019","volume-title":"Philosophical Investigations","year":"1958"},{"key":"key2021041409504247800_ref020","unstructured":"Alpert, M.I. 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