范畴论的系统理论形式逻辑

Metaphysics eJournal Pub Date : 2009-04-29 DOI:10.2139/ssrn.1396841

C. Gonçalves, Maria Odete Madeira

{"title":"范畴论的系统理论形式逻辑","authors":"C. Gonçalves, Maria Odete Madeira","doi":"10.2139/ssrn.1396841","DOIUrl":null,"url":null,"abstract":"A systems theoretical thinking on the categorial object and morphism is developed, leading to a reflection on the philosophical and mathematical foundations of category theory, which allows for the introduction of a formal language for category theory and of a categorial calculus as a morphic web-based logical calculus. A formal system, built from such calculus, is proposed and the logical semantics is addressed. Both syntax and semantics are independent from set theory.","PeriodicalId":189708,"journal":{"name":"Metaphysics eJournal","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A Systems Theoretical Formal Logic for Category Theory\",\"authors\":\"C. Gonçalves, Maria Odete Madeira\",\"doi\":\"10.2139/ssrn.1396841\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A systems theoretical thinking on the categorial object and morphism is developed, leading to a reflection on the philosophical and mathematical foundations of category theory, which allows for the introduction of a formal language for category theory and of a categorial calculus as a morphic web-based logical calculus. A formal system, built from such calculus, is proposed and the logical semantics is addressed. Both syntax and semantics are independent from set theory.\",\"PeriodicalId\":189708,\"journal\":{\"name\":\"Metaphysics eJournal\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-04-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Metaphysics eJournal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.1396841\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Metaphysics eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.1396841","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

对范畴客体和态射的系统理论思考得到了发展，导致了对范畴论的哲学和数学基础的反思，这允许引入范畴论的形式语言和作为基于形态的逻辑演算的范畴演算。在此基础上提出了一个形式化系统，并讨论了逻辑语义。语法和语义都独立于集合论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Systems Theoretical Formal Logic for Category Theory

A systems theoretical thinking on the categorial object and morphism is developed, leading to a reflection on the philosophical and mathematical foundations of category theory, which allows for the introduction of a formal language for category theory and of a categorial calculus as a morphic web-based logical calculus. A formal system, built from such calculus, is proposed and the logical semantics is addressed. Both syntax and semantics are independent from set theory.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Metaphysics eJournal

自引率

0.00%

发文量