{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:26:27Z","timestamp":1754155587534,"version":"3.41.2"},"reference-count":41,"publisher":"Emerald","issue":"8","license":[{"start":{"date-parts":[[2019,9,2]],"date-time":"2019-09-02T00:00:00Z","timestamp":1567382400000},"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":[[2019,9,2]]},"abstract":"<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title>\n<jats:p>The distinction between essence and existence cannot be a distinction in God: in the actual infinite, essence and existence coincide and are one. In it, maximum and minimum coincide. <jats:italic>Coincidentia oppositorum<\/jats:italic> is a Latin phrase meaning coincidence of opposites. It is a neo-Platonic term, attributed to the fifteenth-century German scholar Nicholas of Cusa in his essay, <jats:italic>Docta Ignorantia<\/jats:italic>. God (<jats:italic>coincidentia oppositorum<\/jats:italic>) is the synthesis of opposites in a unique and absolutely infinite being. God transcends all distinctions and oppositions that are found in creatures. The purpose of this paper is to study Cusanus\u2019s thought in respect to infinity (actual and potential), Spinoza\u2019s relationship with Cusanus, and present a mathematical theory of <jats:italic>coincidentia oppositorum<\/jats:italic> based on complex numbers.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title>\n<jats:p>Mathematical development of a dialectical logic is carried out with truth values in a complex field.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Findings<\/jats:title>\n<jats:p>The conclusion is the same as has been made by thinkers and mystics throughout time: the inability to know and understand the idea of God.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title>\n<jats:p>The history of the Infinite thus reveals in both mathematics and philosophy a development of increasingly subtle thought in the form of a dialectical dance around the ineffable and incomprehensible Infinite. First, the authors step toward it, reaching with their intuition beyond the limits of rationality and thought into the realm of the paradoxical. Then, they step back, struggling to express their insight within the limited scope of reason. But the Absolute Infinite remains, at the border of comprehensibility, inviting them with its paradoxes, to once again step forward and transcend the apparent division between finite and Infinite.<\/jats:p>\n<\/jats:sec>","DOI":"10.1108\/k-08-2018-0433","type":"journal-article","created":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T11:00:11Z","timestamp":1558350011000},"page":"1851-1870","source":"Crossref","is-referenced-by-count":1,"title":["Dialectical logic for mythical and mystical superstructural systems (ii)"],"prefix":"10.1108","volume":"48","author":[{"given":"Jos\u00e9 Luis","family":"Us\u00f3 Dom\u00e9nech","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josu\u00e9 Antonio","family":"Nescolarde-Selva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hugh","family":"Gash","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lorena","family":"Segura-Abad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"issue":"1","key":"key2019092314101104200_ref001","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1305\/ndjfl\/1093958482","article-title":"A calculus of antinomies","volume":"7","year":"1966","journal-title":"Notre Dame Journal of Formal Logic"},{"issue":"1","key":"key2019092314101104200_ref002","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.jal.2004.07.015","article-title":"Combining classical logic, paraconsistency and relevance","volume":"3","year":"2005","journal-title":"Journal of Applied Logic"},{"first-page":"117","article-title":"What is many-valued logic?","year":"1997","key":"key2019092314101104200_ref003"},{"key":"key2019092314101104200_ref004","first-page":"275","article-title":"True, Quasi-true and paraconsistency","volume":"39","year":"1999","journal-title":"Contemporary Mathematics"},{"key":"key2019092314101104200_ref005","first-page":"55","article-title":"Philosophy of logic","volume-title":"Philosophies of the Sciences: A Guide","year":"2010"},{"article-title":"Ex contradictione non sequitur quodlibet","volume-title":"Proceedings of 2nd Conference on Reasoning and LogicJuly 2000","year":"2001","key":"key2019092314101104200_ref006"},{"volume-title":"Individuo y Cosmos en la Filosof\u00eda Del Renacimiento (in Spanish)","year":"1951","key":"key2019092314101104200_ref007"},{"key":"key2019092314101104200_ref008","doi-asserted-by":"publisher","DOI":"10.1093\/jigpal\/jzt027","article-title":"Strict paraconsistency of truth-degree preserving intuitionistic logic with dual negation","year":"2013","journal-title":"Logic Journal of the IGPL"},{"volume-title":"Algebraic Foundations of Many-Valued Reasoning","year":"2000","key":"key2019092314101104200_ref009"},{"key":"key2019092314101104200_ref010","first-page":"69","article-title":"The algebras of lukasiewicz many-valued logic: a historical overview","volume-title":"Algebraic and Proof-Theoretic Aspects of Non-Classical Logics","year":"2007"},{"key":"key2019092314101104200_ref011","first-page":"217","article-title":"Paraconsistent logic","volume-title":"A Companion to Latin American Philosophy","year":"2010"},{"first-page":"132","volume-title":"On the Philosophy of Logic","year":"2007","key":"key2019092314101104200_ref012"},{"volume-title":"El Poema de Parm\u00e9nides","year":"1962","key":"key2019092314101104200_ref013"},{"volume-title":"Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity","year":"2009","key":"key2019092314101104200_ref014"},{"volume-title":"Structure Fondamentale du Langage","year":"1968","key":"key2019092314101104200_ref015"},{"article-title":"Primac\u00eda de la negaci\u00f3n y coincidencia de opuestos. 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