{"title":"显式数学与操作集合论:一些本体论比较","authors":"Gerhard Jäger, Rico Zumbrunnen","doi":"10.1017/BSL.2014.21","DOIUrl":null,"url":null,"abstract":"We discuss several ontological properties of explicit mathematics and operational set theory: global choice, decidable classes, totality and extensionality of operations, function spaces, class and set formation via formulas that contain the definedness predicate and applications.","PeriodicalId":55307,"journal":{"name":"Bulletin of Symbolic Logic","volume":"13 1","pages":"275-292"},"PeriodicalIF":0.7000,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Explicit Mathematics and Operational Set Theory: some Ontological comparisons\",\"authors\":\"Gerhard Jäger, Rico Zumbrunnen\",\"doi\":\"10.1017/BSL.2014.21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss several ontological properties of explicit mathematics and operational set theory: global choice, decidable classes, totality and extensionality of operations, function spaces, class and set formation via formulas that contain the definedness predicate and applications.\",\"PeriodicalId\":55307,\"journal\":{\"name\":\"Bulletin of Symbolic Logic\",\"volume\":\"13 1\",\"pages\":\"275-292\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2014-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Symbolic Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/BSL.2014.21\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Symbolic Logic","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/BSL.2014.21","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"LOGIC","Score":null,"Total":0}
Explicit Mathematics and Operational Set Theory: some Ontological comparisons
We discuss several ontological properties of explicit mathematics and operational set theory: global choice, decidable classes, totality and extensionality of operations, function spaces, class and set formation via formulas that contain the definedness predicate and applications.
期刊介绍：
The Bulletin of Symbolic Logic was established in 1995 by the Association for Symbolic Logic to provide a journal of high standards that would be both accessible and of interest to as wide an audience as possible. It is designed to cover all areas within the purview of the ASL: mathematical logic and its applications, philosophical and non-classical logic and its applications, history and philosophy of logic, and philosophy and methodology of mathematics.
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