{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:25:51Z","timestamp":1754155551690,"version":"3.41.2"},"reference-count":20,"publisher":"Emerald","issue":"8","license":[{"start":{"date-parts":[[2013,9,2]],"date-time":"2013-09-02T00:00:00Z","timestamp":1378080000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,9,2]]},"abstract":"<jats:sec>\n               <jats:title content-type=\"abstract-heading\">Purpose<\/jats:title>\n               <jats:p> \u2013 Deontical impure systems are systems whose object set is formed by an s-impure set, whose elements are perceptuales significances (relative beings) of material and\/or energetic objects (absolute beings) and whose relational set is freeways of relations, formed by sheaves of relations going in two-way directions and at least one of its relations has deontical properties such as permission, prohibition, obligation and faculty. The paper aims to discuss these issues. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title>\n               <jats:p> \u2013 Mathematical and logical development of human society ethical and normative structure. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Findings<\/jats:title>\n               <jats:p> \u2013 Existence of relations with positive imperative modality (obligation) would constitute the skeleton of the system. Negative imperative modality (prohibition) would be the immunological system of protection of the system. Modality permission the muscular system, that gives the necessary flexibility. Four theorems have been formulated based on G\u00f6del's theorem demonstrating the inconsistency or incompleteness of DISs. For each constructed systemic conception can happen to it one of the two following things: either some allowed responses are not produced or else some forbidden responses are produced. Responses prohibited by the system are defined as nonwished effects. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title>\n               <jats:p> \u2013 This paper is a continuation of the four previous papers and is developed the theory of deontical impure systems.<\/jats:p>\n            <\/jats:sec>","DOI":"10.1108\/k-09-2012-0054","type":"journal-article","created":{"date-parts":[[2013,11,25]],"date-time":"2013-11-25T20:56:22Z","timestamp":1385412982000},"page":"1235-1247","source":"Crossref","is-referenced-by-count":7,"title":["An introduction to alysidal algebra (IV)"],"prefix":"10.1108","volume":"42","author":[{"given":"Jose-Luis","family":"Us\u00f3-Domenech","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Josu\u00e9","family":"Antonio Nescolarde-Selva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"unstructured":"Alchourr\u00f3n, C.\n                and \n                  Bulygin, E.\n                (1991), An\u00e1lisis l\u00f3gico y derecho, Centro de Estudios Constitucionales, Madrid (in Spanish).","key":"key2022021420094904100_b1"},{"unstructured":"Boberienth, M.A.\n                (1996), Inconsistencias, por qu\u00e9 no? un estudio filos\u00f3fico sobre la l\u00f3gica paraconsistente, Colcultura, Bogot\u00e1 (in Spanish).","key":"key2022021420094904100_b2"},{"unstructured":"Dea\u00f1o, A.\n                (1973), Introducci\u00f3n a la l\u00f3gica formal, 4a ed., Alianza Editorial, Madrid (in Spanish).","key":"key2022021420094904100_b3"},{"unstructured":"Ferrater Mora, J.\n                (1978), Diccionario de filosof\u00eda abreviado, 7a ed., Editorial Suramericana, Buenos Aires (in Spanish).","key":"key2022021420094904100_b4"},{"doi-asserted-by":"crossref","unstructured":"Hilpinen, R.\n                (2001), \u201cDeontic logic\u201d, in \n                  Goble, L.\n                (Ed.), The Blackwell Guide to Philosophical Logic, Blackwell, Oxford, pp. 159-182.","key":"key2022021420094904100_b5","DOI":"10.1111\/b.9780631206934.2001.00011.x"},{"unstructured":"Hugues, G.E.\n                and \n                  Cresswell, M.\n                (1973), Introducci\u00f3n a la l\u00f3gica modal (translated by E. Guisan and S.K. Bart), Tecnos, Madrid (in Spanish).","key":"key2022021420094904100_b6"},{"unstructured":"Lewis, D.\n                (1973), Counterfactuals, Harvard University Press, Cambridge, MA.","key":"key2022021420094904100_b7"},{"unstructured":"Mesarovic, M.D.\n                and \n                  Takahara, Y.\n                (1989), Lecture Notes in Control and Information Sciences, Spring, Berlin.","key":"key2022021420094904100_b8"},{"unstructured":"Nescolarde-Selva, J.\n                (2010), \u201cA systemic vision of beliefs systems and ideologies\u201d, doctoral thesis, Universidad de Alicante, Alicante.","key":"key2022021420094904100_b9"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n                and \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                (2012), \u201cAn introduction to alysidal algebra III\u201d, Kybernetes, Vol. 41 No. 10, pp. 1638-1649.","key":"key2022021420094904100_b12","DOI":"10.1108\/03684921211276800"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n                and \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                (2013a), \u201cReality, system and impure systems\u201d, Foundations of Science, June.","key":"key2022021420094904100_b13","DOI":"10.1007\/s10699-013-9337-8"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n                and \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                (2013b), \u201cSemiotic vision of ideologies\u201d, Foundations of Science, April.","key":"key2022021420094904100_b14","DOI":"10.1007\/s10699-013-9329-8"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n                and \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                (2013c), \u201cTopological structures of complex belief systems\u201d, Complexity, Vol. 19 No. 1, pp. 46-62.","key":"key2022021420094904100_b15","DOI":"10.1002\/cplx.21455"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n                and \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                (2013d), \u201cTopological structures of complex belief systems (II): textual materialization\u201d, Complexity, October.","key":"key2022021420094904100_b16","DOI":"10.1002\/cplx.21476"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n               , \n                  Vives Maci\u00e1, F.\n               , \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                and \n                  Berend, D.\n                (2012a), \u201cAn introduction to alysidal algebra I\u201d, Kybernetes, Vol. 41 Nos 1\/2, pp. 21-34.","key":"key2022021420094904100_b10","DOI":"10.1108\/03684921211213089"},{"doi-asserted-by":"crossref","unstructured":"Nescolarde-Selva, J.\n               , \n                  Vives Maci\u00e1, F.\n               , \n                  Us\u00f3-Dom\u00e9nech, J.L.\n                and \n                  Berend, D.\n                (2012b), \u201cAn introduction to alysidal algebra II\u201d, Kybernetes, Vol. 41 Nos 5\/6, pp. 780-793.","key":"key2022021420094904100_b11","DOI":"10.1108\/03684921211247541"},{"doi-asserted-by":"crossref","unstructured":"Von Wright, G.H.\n                (1956), \u201cA note on deontic logic and derived obligation\u201d, Mind, No. 65, pp. 507-509.","key":"key2022021420094904100_b17","DOI":"10.1093\/mind\/65.1.507"},{"unstructured":"Von Wright, G.H.\n                (1963), Norm and Action: A Logical Enquiry, Routledge & Kegan Paul, Londres.","key":"key2022021420094904100_b18"},{"unstructured":"Von Wright, G.H.\n                (1968), An Essay in Deontic Logic and the General Theory of Action, Acta Philosophica Fennica, No. 21, Fascicule, North-Holland, Amsterdam.","key":"key2022021420094904100_b19"},{"unstructured":"Von Wright, G.H.\n                (1983), \u201cNorms, truth and logic\u201d, in \n                  Von Wright, G.H.\n                (Ed.), Philosophical Papers I: Practical Reason, Blackwell, Oxford.","key":"key2022021420094904100_b20"}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/K-09-2012-0054","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/K-09-2012-0054\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/K-09-2012-0054\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T21:49:58Z","timestamp":1753393798000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/42\/8\/1235-1247\/269427"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,9,2]]},"references-count":20,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2013,9,2]]}},"alternative-id":["10.1108\/K-09-2012-0054"],"URL":"https:\/\/doi.org\/10.1108\/k-09-2012-0054","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2013,9,2]]}}}