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A Logical Theory for Conditional Weak Ontic Necessity in Branching Time 分支时间条件弱本体必然性的逻辑理论
3区 数学
Studia Logica Pub Date : 2023-11-14 DOI: 10.1007/s11225-023-10076-z
Fengkui Ju
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引用次数: 0
On a Class of Subreducts of the Variety of Integral srl-Monoids and Related Logics 关于整单群变换的一类子约及其相关逻辑
3区 数学
Studia Logica Pub Date : 2023-11-10 DOI: 10.1007/s11225-023-10074-1
Juan Manuel Cornejo, Hernn Javier San Martín, Valeria Sígal
{"title":"On a Class of Subreducts of the Variety of Integral srl-Monoids and Related Logics","authors":"Juan Manuel Cornejo, Hernn Javier San Martín, Valeria Sígal","doi":"10.1007/s11225-023-10074-1","DOIUrl":"https://doi.org/10.1007/s11225-023-10074-1","url":null,"abstract":"","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"112 27","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135137806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Connexive Negation Connexive否定
3区 数学
Studia Logica Pub Date : 2023-11-10 DOI: 10.1007/s11225-023-10078-x
Luis Estrada-González, Ricardo Arturo Nicolás-Francisco
{"title":"Connexive Negation","authors":"Luis Estrada-González, Ricardo Arturo Nicolás-Francisco","doi":"10.1007/s11225-023-10078-x","DOIUrl":"https://doi.org/10.1007/s11225-023-10078-x","url":null,"abstract":"Abstract Seen from the point of view of evaluation conditions, a usual way to obtain a connexive logic is to take a well-known negation, for example, Boolean negation or de Morgan negation, and then assign special properties to the conditional to validate Aristotle’s and Boethius’ Theses. Nonetheless, another theoretical possibility is to have the extensional or the material conditional and then assign special properties to the negation to validate the theses. In this paper we examine that possibility, not sufficiently explored in the connexive literature yet.We offer a characterization of connexive negation disentangled from the cancellation account of negation, a previous attempt to define connexivity on top of a distinctive negation. We also discuss an ancient view on connexive logics, according to which a valid implication is one where the negation of the consequent is incompatible with the antecedent, and discuss the role of our idea of connexive negation for this kind of view.","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"102 24","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135137852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Profinite Locally Finite Quasivarieties 无限局部有限准变量
3区 数学
Studia Logica Pub Date : 2023-10-16 DOI: 10.1007/s11225-023-10077-y
Anvar M. Nurakunov, Marina V. Schwidefsky
{"title":"Profinite Locally Finite Quasivarieties","authors":"Anvar M. Nurakunov, Marina V. Schwidefsky","doi":"10.1007/s11225-023-10077-y","DOIUrl":"https://doi.org/10.1007/s11225-023-10077-y","url":null,"abstract":"","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136114338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Substructural Nuclear (Image-Based) Logics and Operational Kripke-Style Semantics 子结构核(基于图像的)逻辑和操作kripke风格语义
3区 数学
Studia Logica Pub Date : 2023-10-16 DOI: 10.1007/s11225-023-10069-y
Eunsuk Yang
{"title":"Substructural Nuclear (Image-Based) Logics and Operational Kripke-Style Semantics","authors":"Eunsuk Yang","doi":"10.1007/s11225-023-10069-y","DOIUrl":"https://doi.org/10.1007/s11225-023-10069-y","url":null,"abstract":"","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Difference-Making Conditionals and Connexivity 差异条件和连接
3区 数学
Studia Logica Pub Date : 2023-10-10 DOI: 10.1007/s11225-023-10071-4
Hans Rott
{"title":"Difference-Making Conditionals and Connexivity","authors":"Hans Rott","doi":"10.1007/s11225-023-10071-4","DOIUrl":"https://doi.org/10.1007/s11225-023-10071-4","url":null,"abstract":"Abstract Today there is a wealth of fascinating studies of connexive logical systems. But sometimes it looks as if connexive logic is still in search of a convincing interpretation that explains in intuitive terms why the connexive principles should be valid. In this paper I argue that difference-making conditionals as presented in Rott ( Review of Symbolic Logic 15, 2022) offer one principled way of interpreting connexive principles. From a philosophical point of view, the idea of difference-making demands full, unrestricted connexivity, because neither logical truths nor contradictions or other absurdities can ever ‘make a difference’ (i.e., be relevantly connected) to anything. However, difference-making conditionals have so far been only partially connexive. I show how the existing analysis of difference-making conditionals can be reshaped to obtain full connexivity. The classical AGM belief revision model is replaced by a conceivability-limited revision model that serves as the semantic base for the analysis. The key point of the latter is that the agent should never accept any absurdities.","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136294469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Heyting $$kappa $$-Frames Heyting $$kappa $$ -框架
3区 数学
Studia Logica Pub Date : 2023-10-07 DOI: 10.1007/s11225-023-10072-3
Hector Freytes, Giuseppe Sergioli
{"title":"Heyting $$kappa $$-Frames","authors":"Hector Freytes, Giuseppe Sergioli","doi":"10.1007/s11225-023-10072-3","DOIUrl":"https://doi.org/10.1007/s11225-023-10072-3","url":null,"abstract":"Abstract In the framework of algebras with infinitary operations, the equational theory of $$bigvee _{kappa }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mo>⋁</mml:mo> <mml:mi>κ</mml:mi> </mml:msub> </mml:math> -complete Heyting algebras or Heyting $$kappa $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>κ</mml:mi> </mml:math> -frames is studied. A Hilbert style calculus algebraizable in this class is formulated. Based on the infinitary structure of Heyting $$kappa $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>κ</mml:mi> </mml:math> -frames, an equational type completeness theorem related to the $$langle bigvee , wedge , rightarrow , 0 rangle $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>⟨</mml:mo> <mml:mo>⋁</mml:mo> <mml:mo>,</mml:mo> <mml:mo>∧</mml:mo> <mml:mo>,</mml:mo> <mml:mo>→</mml:mo> <mml:mo>,</mml:mo> <mml:mn>0</mml:mn> <mml:mo>⟩</mml:mo> </mml:mrow> </mml:math> -structure of frames is also obtained.","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sets with Dependent Elements: A Formalization of Castoriadis’ Notion of Magma 具有相关元素的集合:Castoriadis岩浆概念的形式化
3区 数学
Studia Logica Pub Date : 2023-09-28 DOI: 10.1007/s11225-023-10073-2
Athanassios Tzouvaras
{"title":"Sets with Dependent Elements: A Formalization of Castoriadis’ Notion of Magma","authors":"Athanassios Tzouvaras","doi":"10.1007/s11225-023-10073-2","DOIUrl":"https://doi.org/10.1007/s11225-023-10073-2","url":null,"abstract":"","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135387429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semisimplicity and Congruence 3-Permutabilty for Quasivarieties with Equationally Definable Principal Congruences 具有等式可定义主同余的拟变的半简单性和同余3-置换
3区 数学
Studia Logica Pub Date : 2023-09-20 DOI: 10.1007/s11225-023-10070-5
Miguel Campercholi, Diego Vaggione
{"title":"Semisimplicity and Congruence 3-Permutabilty for Quasivarieties with Equationally Definable Principal Congruences","authors":"Miguel Campercholi, Diego Vaggione","doi":"10.1007/s11225-023-10070-5","DOIUrl":"https://doi.org/10.1007/s11225-023-10070-5","url":null,"abstract":"","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boolean Connexive Logic and Content Relationship 布尔连接逻辑和内容关系
3区 数学
Studia Logica Pub Date : 2023-09-20 DOI: 10.1007/s11225-023-10058-1
Mateusz Klonowski, Luis Estrada-González
{"title":"Boolean Connexive Logic and Content Relationship","authors":"Mateusz Klonowski, Luis Estrada-González","doi":"10.1007/s11225-023-10058-1","DOIUrl":"https://doi.org/10.1007/s11225-023-10058-1","url":null,"abstract":"Abstract We present here some Boolean connexive logics (BCLs) that are intended to be connexive counterparts of selected Epstein’s content relationship logics (CRLs). The main motivation for analyzing such logics is to explain the notion of connexivity by means of the notion of content relationship. The article consists of two parts. In the first one, we focus on the syntactic analysis by means of axiomatic systems. The starting point for our syntactic considerations will be the smallest BCL and the smallest CRL. In the first part, we also identify axioms of Epstein’s logics that, together with the connexive principles, lead to contradiction. Moreover, we present some principles that will be equivalent to the connexive theses, but not to the content connexive theses we will propose. In the second part, we focus on the semantic analysis provided by relating- and set-assignment models. We define sound and complete relating semantics for all tested systems. We also indicate alternative relating models for the smallest BCL, which are not alternative models of the connexive counterparts of the considered CRLs. We provide a set-assignment semantics for some BCLs, giving thus a natural formalization of the content relationship understood either as content sharing or as content inclusion.","PeriodicalId":48979,"journal":{"name":"Studia Logica","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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