两个手稿,一个由Routley,一个由Meyer:关联逻辑的Routley-Meyer语义的起源

K. Bimbó, J. Dunn, Nicholas Ferenz
{"title":"两个手稿,一个由Routley,一个由Meyer:关联逻辑的Routley-Meyer语义的起源","authors":"K. Bimbó, J. Dunn, Nicholas Ferenz","doi":"10.26686/ajl.v15i2.4066","DOIUrl":null,"url":null,"abstract":"A ternary relation is often used nowadays to interpret an implication connective of a logic, a practice that became dominant in the semantics of relevance logics.  This paper examines two early manuscripts --- one by Routley, another by Meyer --- in which they were developing set-theoretic semantics for various relevance logics.  A standard presentation of a ternary relational semantics for, let us say, the logic of relevant implication R is quite illuminating, yet the invention of this semantics was fraught with false starts.  Meyer's manuscript, in which he builds on some ideas from Routley's manuscript, essentially contains a relational semantics for which R^{ot} is sound and complete.","PeriodicalId":367849,"journal":{"name":"The Australasian Journal of Logic","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Two Manuscripts, One by Routley, One by Meyer: The Origins of the Routley-Meyer Semantics for Relevance Logics\",\"authors\":\"K. Bimbó, J. Dunn, Nicholas Ferenz\",\"doi\":\"10.26686/ajl.v15i2.4066\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A ternary relation is often used nowadays to interpret an implication connective of a logic, a practice that became dominant in the semantics of relevance logics.  This paper examines two early manuscripts --- one by Routley, another by Meyer --- in which they were developing set-theoretic semantics for various relevance logics.  A standard presentation of a ternary relational semantics for, let us say, the logic of relevant implication R is quite illuminating, yet the invention of this semantics was fraught with false starts.  Meyer's manuscript, in which he builds on some ideas from Routley's manuscript, essentially contains a relational semantics for which R^{ot} is sound and complete.\",\"PeriodicalId\":367849,\"journal\":{\"name\":\"The Australasian Journal of Logic\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Australasian Journal of Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26686/ajl.v15i2.4066\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Australasian Journal of Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26686/ajl.v15i2.4066","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4

摘要

现在经常使用三元关系来解释逻辑的隐含连接,这种做法在关联逻辑的语义中占主导地位。本文考察了两份早期手稿——一份由Routley撰写,另一份由Meyer撰写——他们在其中为各种相关逻辑开发了集合论语义。比方说,相关蕴涵R的逻辑的三元关系语义的标准表示非常有启发性,但是这种语义的发明充满了错误的开始。迈耶的手稿建立在劳特利手稿的基础上,本质上包含了一个关系语义,对于这个语义,R^{ot}是健全和完备的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two Manuscripts, One by Routley, One by Meyer: The Origins of the Routley-Meyer Semantics for Relevance Logics
A ternary relation is often used nowadays to interpret an implication connective of a logic, a practice that became dominant in the semantics of relevance logics.  This paper examines two early manuscripts --- one by Routley, another by Meyer --- in which they were developing set-theoretic semantics for various relevance logics.  A standard presentation of a ternary relational semantics for, let us say, the logic of relevant implication R is quite illuminating, yet the invention of this semantics was fraught with false starts.  Meyer's manuscript, in which he builds on some ideas from Routley's manuscript, essentially contains a relational semantics for which R^{ot} is sound and complete.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信