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A Minimal Probability Space for Conditionals 条件的最小概率空间
1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-09-14 DOI: 10.1007/s10992-023-09710-x
Anna Wójtowicz, Krzysztof Wójtowicz
{"title":"A Minimal Probability Space for Conditionals","authors":"Anna Wójtowicz, Krzysztof Wójtowicz","doi":"10.1007/s10992-023-09710-x","DOIUrl":"https://doi.org/10.1007/s10992-023-09710-x","url":null,"abstract":"Abstract One of central problems in the theory of conditionals is the construction of a probability space, where conditionals can be interpreted as events and assigned probabilities. The problem has been given a technical formulation by van Fraassen (23), who also discussed in great detail the solution in the form of Stalnaker Bernoulli spaces. These spaces are very complex – they have the cardinality of the continuum, even if the language is finite. A natural question is, therefore, whether a technically simpler (in particular finite) partial construction can be given. In the paper we provide a new solution to the problem. We show how to construct a finite probability space $$mathrm {S}^#=left(mathrmOmega^#,mathrmSigma^#,mathrm P^#right)$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mo>#</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mfenced> <mml:msup> <mml:mi>Ω</mml:mi> <mml:mo>#</mml:mo> </mml:msup> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>Σ</mml:mi> <mml:mo>#</mml:mo> </mml:msup> <mml:mo>,</mml:mo> <mml:msup> <mml:mi>P</mml:mi> <mml:mo>#</mml:mo> </mml:msup> </mml:mfenced> </mml:mrow> </mml:math> in which simple conditionals and their Boolean combinations can be interpreted. The structure is minimal in terms of cardinality within a certain, naturally defined class of models – an interesting side-effect is an estimate of the number of non-equivalent propositions in the conditional language. We demand that the structure satisfy certain natural assumptions concerning the logic and semantics of conditionals and also that it satisfy PCCP. The construction can be easily iterated, producing interpretations for conditionals of arbitrary complexity.","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134912384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Basis for AGM Revision in Bayesian Probability Revision 贝叶斯概率修正中AGM修正的基础
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-08-30 DOI: 10.1007/s10992-023-09716-5
S. Hansson
{"title":"A Basis for AGM Revision in Bayesian Probability Revision","authors":"S. Hansson","doi":"10.1007/s10992-023-09716-5","DOIUrl":"https://doi.org/10.1007/s10992-023-09716-5","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46062611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Logical Analysis of Instrumentality Judgments: Means-End Relations in the Context of Experience and Expectations 工具性判断的逻辑分析:经验与期望背景下的手段-目的关系
1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-08-10 DOI: 10.1007/s10992-023-09714-7
Kees van Berkel, Tim S. Lyon, Matteo Pascucci
{"title":"A Logical Analysis of Instrumentality Judgments: Means-End Relations in the Context of Experience and Expectations","authors":"Kees van Berkel, Tim S. Lyon, Matteo Pascucci","doi":"10.1007/s10992-023-09714-7","DOIUrl":"https://doi.org/10.1007/s10992-023-09714-7","url":null,"abstract":"Abstract This article proposes the use of temporal logic for an analysis of instrumentality inspired by the work of G.H. von Wright. The first part of the article contains the philosophical foundations. We discuss von Wright’s general theory of agency and his account of instrumentality. Moreover, we propose several refinements to this framework via rigorous definitions of the core notions involved. In the second part, we develop a logical system called Temporal Logic of Action and Expectations ( $$textsf{TLAE}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>TLAE</mml:mi> </mml:math> ). The logic is inspired by a fragment of propositional dynamic logic based on indeterministic time. The system is proven to be weakly complete relative to its given semantics. We then employ $$textsf{TLAE}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>TLAE</mml:mi> </mml:math> to formalise and analyse the instrumentality relations defined in the first part of the paper. Last, we point out philosophical implications and possible extensions of our work.","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135551869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Value of the One Value: Exactly True Logic revisited 一个值的值:重新审视完全正确的逻辑
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-08-07 DOI: 10.1007/s10992-023-09711-w
Andreas Kapsner, U. Rivieccio
{"title":"The Value of the One Value: Exactly True Logic revisited","authors":"Andreas Kapsner, U. Rivieccio","doi":"10.1007/s10992-023-09711-w","DOIUrl":"https://doi.org/10.1007/s10992-023-09711-w","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1417 - 1444"},"PeriodicalIF":1.5,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45382530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Internal Categoricity, Truth and Determinacy 内在范畴性、真性与决定论
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-08-03 DOI: 10.1007/s10992-023-09707-6
Martin Fischer, Matteo Zicchetti
{"title":"Internal Categoricity, Truth and Determinacy","authors":"Martin Fischer, Matteo Zicchetti","doi":"10.1007/s10992-023-09707-6","DOIUrl":"https://doi.org/10.1007/s10992-023-09707-6","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1295 - 1325"},"PeriodicalIF":1.5,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48072663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Provable Contradictions of the Connexive Logics C and C3 论连接逻辑C与C3的可证明矛盾
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-07-29 DOI: 10.1007/s10992-023-09709-4
Satoru Niki, H. Wansing
{"title":"On the Provable Contradictions of the Connexive Logics C and C3","authors":"Satoru Niki, H. Wansing","doi":"10.1007/s10992-023-09709-4","DOIUrl":"https://doi.org/10.1007/s10992-023-09709-4","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1355 - 1383"},"PeriodicalIF":1.5,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45849467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Logic of Lexical Connectives 词汇连接词的逻辑
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-07-21 DOI: 10.1007/s10992-023-09708-5
Giorgio Sbardolini
{"title":"The Logic of Lexical Connectives","authors":"Giorgio Sbardolini","doi":"10.1007/s10992-023-09708-5","DOIUrl":"https://doi.org/10.1007/s10992-023-09708-5","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1327 - 1353"},"PeriodicalIF":1.5,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45538237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
From Epistemic Norms to Logical Rules: Epistemic Models for Logical Expressivists 从认知规范到逻辑规则:逻辑表达主义者的认知模型
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-07-10 DOI: 10.1007/s10992-023-09712-9
Niklas Dahl
{"title":"From Epistemic Norms to Logical Rules: Epistemic Models for Logical Expressivists","authors":"Niklas Dahl","doi":"10.1007/s10992-023-09712-9","DOIUrl":"https://doi.org/10.1007/s10992-023-09712-9","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"1 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45310973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Depth Relevance and Hyperformalism 更正：深度相关性和超形式主义
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-05-30 DOI: 10.1007/s10992-023-09706-7
S. Logan
{"title":"Correction to: Depth Relevance and Hyperformalism","authors":"S. Logan","doi":"10.1007/s10992-023-09706-7","DOIUrl":"https://doi.org/10.1007/s10992-023-09706-7","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1235 - 1235"},"PeriodicalIF":1.5,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47313725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Intuitionistic Mereology II: Overlap and Disjointness 直觉主义流变学II:重叠与断裂
IF 1.5 1区 哲学
JOURNAL OF PHILOSOPHICAL LOGIC Pub Date : 2023-05-22 DOI: 10.1007/s10992-023-09703-w
P. Maffezioli, Achille C. Varzi
{"title":"Intuitionistic Mereology II: Overlap and Disjointness","authors":"P. Maffezioli, Achille C. Varzi","doi":"10.1007/s10992-023-09703-w","DOIUrl":"https://doi.org/10.1007/s10992-023-09703-w","url":null,"abstract":"","PeriodicalId":51526,"journal":{"name":"JOURNAL OF PHILOSOPHICAL LOGIC","volume":"52 1","pages":"1197 - 1233"},"PeriodicalIF":1.5,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44380975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","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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