Angelo de Oliveira, Marina Nogueira Carvalho de Oliveira
{"title":"经典逻辑作为嗜中性逻辑的一个子类","authors":"Angelo de Oliveira, Marina Nogueira Carvalho de Oliveira","doi":"10.5281/ZENODO.3830094","DOIUrl":null,"url":null,"abstract":"It is customary in mathematics that almost all new developments maintain compatibility with what is already proved and accepted. Following this way, neutrosophic logic has the classical logic as subset. However, in mathematics, all the affirmations must be proved first to be accepted, so the claim that the neutrosophic logic encompass classical logic must be also proved. Thus, this paper show that the main properties of the classical logic hold when translated to neutrosophic form at propositional level.","PeriodicalId":192295,"journal":{"name":"International Journal of Neutrosophic Science","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Classical Logic as a subclass of Neutrosophic Logic\",\"authors\":\"Angelo de Oliveira, Marina Nogueira Carvalho de Oliveira\",\"doi\":\"10.5281/ZENODO.3830094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is customary in mathematics that almost all new developments maintain compatibility with what is already proved and accepted. Following this way, neutrosophic logic has the classical logic as subset. However, in mathematics, all the affirmations must be proved first to be accepted, so the claim that the neutrosophic logic encompass classical logic must be also proved. Thus, this paper show that the main properties of the classical logic hold when translated to neutrosophic form at propositional level.\",\"PeriodicalId\":192295,\"journal\":{\"name\":\"International Journal of Neutrosophic Science\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Neutrosophic Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.3830094\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Neutrosophic Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.3830094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Classical Logic as a subclass of Neutrosophic Logic
It is customary in mathematics that almost all new developments maintain compatibility with what is already proved and accepted. Following this way, neutrosophic logic has the classical logic as subset. However, in mathematics, all the affirmations must be proved first to be accepted, so the claim that the neutrosophic logic encompass classical logic must be also proved. Thus, this paper show that the main properties of the classical logic hold when translated to neutrosophic form at propositional level.