{"title":"和的关系是货币学的原始概念","authors":"Rafał Gruszczyński, Dazhu Li","doi":"10.1007/s11225-024-10122-4","DOIUrl":null,"url":null,"abstract":"<p>Mereology in its formal guise is usually couched in a language whose signature contains only one primitive binary predicate symbol representing the <i>part of</i> relation, either the proper or improper one. In this paper, we put forward an approach to mereology that uses <i>mereological sum</i> as its primitive notion, and we demonstrate that it is definitionally equivalent to the standard parthood-based theory of mereological structures.</p>","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"16 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Sum Relation as a Primitive Concept of Mereology\",\"authors\":\"Rafał Gruszczyński, Dazhu Li\",\"doi\":\"10.1007/s11225-024-10122-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Mereology in its formal guise is usually couched in a language whose signature contains only one primitive binary predicate symbol representing the <i>part of</i> relation, either the proper or improper one. In this paper, we put forward an approach to mereology that uses <i>mereological sum</i> as its primitive notion, and we demonstrate that it is definitionally equivalent to the standard parthood-based theory of mereological structures.</p>\",\"PeriodicalId\":48979,\"journal\":{\"name\":\"Studia Logica\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Logica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11225-024-10122-4\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Logica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11225-024-10122-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
The Sum Relation as a Primitive Concept of Mereology
Mereology in its formal guise is usually couched in a language whose signature contains only one primitive binary predicate symbol representing the part of relation, either the proper or improper one. In this paper, we put forward an approach to mereology that uses mereological sum as its primitive notion, and we demonstrate that it is definitionally equivalent to the standard parthood-based theory of mereological structures.
期刊介绍:
The leading idea of Lvov-Warsaw School of Logic, Philosophy and Mathematics was to investigate philosophical problems by means of rigorous methods of mathematics. Evidence of the great success the School experienced is the fact that it has become generally recognized as Polish Style Logic. Today Polish Style Logic is no longer exclusively a Polish speciality. It is represented by numerous logicians, mathematicians and philosophers from research centers all over the world.