{"title":"Cavaillès on Gentzen ‘ <i>dans son poêle</i> ’: A Brief Historical Note","authors":"Peter Milne","doi":"10.1080/01445340.2023.2249355","DOIUrl":"https://doi.org/10.1080/01445340.2023.2249355","url":null,"abstract":"In a letter to Lautman, Cavaillès speaks of Gentzen ‘dans son poêle’ in Göttingen. The translators of the English edition of Menzler-Trott's biography of Gentzen miss the allusion to Descartes.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Aristotle’s Syllogistic Underlying Logic: His Model with His Proofs of Soundness and Completeness","authors":"C. G. King","doi":"10.1080/01445340.2023.2240671","DOIUrl":"https://doi.org/10.1080/01445340.2023.2240671","url":null,"abstract":"Click to increase image sizeClick to decrease image size Notes1 Ebbinghaus Citation1964, Smiley Citation1973, Corcoran Citation1974. Ebbinghaus was the first to formulate an interpretation of Aristotle’s syllogistic in terms of deduction rules, but his work is studiously ignored in the publications of Corcoran and, unfortunately, in the book under review. Ebbinghaus’ work is surely known to any informed person working in the history of ancient logic: Patzig Citation1963, ii n. 2 cites it in connection with his second thoughts about reconstructing the syllogistic (with Łukasiewicz Citation1957) as an axiomatic system of propositional logic.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135435044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Timpler, Clemens. Logicae systema methodicum Libris V. comprehensum, in quo universus bene disserendi et sciendi modus, tam generatim, quam speciatim, per praecepta et quaestiones breviter ac dilucide explicatur & probatur","authors":"M. Walter","doi":"10.1080/01445340.2023.2249364","DOIUrl":"https://doi.org/10.1080/01445340.2023.2249364","url":null,"abstract":"","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49055338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hegel’s Logic and Metaphysics","authors":"C. Yang","doi":"10.1080/01445340.2023.2251828","DOIUrl":"https://doi.org/10.1080/01445340.2023.2251828","url":null,"abstract":"","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47692663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Logic in Question. Talks from the Annual Sorbonne Logic Workshop (2011–2019)","authors":"G. Guibert, B. Sauzay","doi":"10.1080/01445340.2023.2251827","DOIUrl":"https://doi.org/10.1080/01445340.2023.2251827","url":null,"abstract":"","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43493050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Aristotle's Proofs Through the Impossible in Prior Analytics 1.15","authors":"Riccardo Zanichelli","doi":"10.1080/01445340.2023.2241183","DOIUrl":"https://doi.org/10.1080/01445340.2023.2241183","url":null,"abstract":"In Prior Analytics 1.15, Aristotle attempts to give a proof through the impossible of Barbara, Celarent, Darii, and Ferio with an assertoric first premiss, a contingent second premiss, and a possible conclusion. These proofs have been controversial since antiquity. I shall show that they are valid, and that Aristotle is able to explain them by relying on two meta-syllogistic lemmas on the nature of possibility interpreted as syntactic consistency. It will turn out that Aristotle's proofs are not of the intended schemata. I shall investigate some of the results that the impact of this reconstruction on the modal syllogistic has: the relationship between Aristotle's syllogistic and the logics of relevance; the value of Aristotle's requirement that universal affirmative propositions be taken ‘absolutely’; the destruction of many Aristotelian proofs; the recovery of certain principles of modal opposition from a charge of inconsistency.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45800094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Arthur Prior's Proofs of the Necessities of Identity and Difference","authors":"Nils Kürbis","doi":"10.1080/01445340.2023.2237758","DOIUrl":"https://doi.org/10.1080/01445340.2023.2237758","url":null,"abstract":"This paper draws attention to a proof of the necessity of identity given by Arthur Prior. In its simplicity it is comparable to a proof of Quine’s, popularised by Kripke, but it is slightly di ff erent. Prior’s Polish notation is transcribed into more familiar idiom. Prior’s proof is followed by a proof of the necessity of di ff erence, possibly the first such proof in the literature, which is also repeated here and transcribed. The paper concludes with a brief discussion of Prior’s views on identity and di ff erence over time.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48452942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Logicism and Principle of Tolerance: Carnap’s Philosophy of Logic and Mathematics*","authors":"Stefano Domingues Stival","doi":"10.1080/01445340.2023.2230103","DOIUrl":"https://doi.org/10.1080/01445340.2023.2230103","url":null,"abstract":"ABSTRACT In this paper, the connection between logicism and the principle of tolerance in Carnap’s philosophy of logic and mathematics is to be presented in terms of the history of its development. Such development is conditioned by two lines of criticism to Carnap’s attempt to combine Logicism and Conventionalism, the first of which comes from Gödel, the second from Alfred Tarski. The presentation will take place in three steps. First, the Logicism of Carnap before the publication of The Logical Syntax of Language will be analyzed in its main features. Second, the relationship between Logicism and the Principle of Tolerance at the time of the publication of Logical Syntax, and thirdly, in the so-called semantical phase of Carnap’s thought will be examined. On the basis of the two preceding points, we will then critically analyze two interpretations of the possibility to maintain a philosophical position like that of Carnap nowadays.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49303561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Enhanced Account of Relative Identity: Double-Reference Starting Point and Dual-Track Feature","authors":"B. Mou","doi":"10.1080/01445340.2023.2229611","DOIUrl":"https://doi.org/10.1080/01445340.2023.2229611","url":null,"abstract":"This article gives a holistic re-examination of the semantic content and syntactic structure of the concept of relative identity: it suggests and explains an expanded and enhanced dual-track characterization ofrelativeidentity.Itisexpandedinthissense:itsduecoverageisnot narrowlyrestrictedtothe equal-status caseof identity statements(the symmetric case for identity simplex) but also includes the category-assimilating case (the asymmetric case for identity complex), both of which are unified by the shared semantic core content of relative identity. It is enhanced in this sense: it is intended to give a more refined characterization of relative identity for the sake of enhancing our understanding of the structure and content of real-life relative-identity statements in people’s basic employment of language in view of the relation between thought, language, and the world.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46521994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Connexivity in Aristotle’s Logic","authors":"Fabian Ruge","doi":"10.1080/01445340.2023.2203984","DOIUrl":"https://doi.org/10.1080/01445340.2023.2203984","url":null,"abstract":"At APr 2.4 57a36–13, Aristotle presents a notorious reductio argument in which he derives the claim ‘If B is not large, B is large’ and calls that result impossible. Aristotle is thus committed to some form of connexivity and this paper argues that his commitment is to a strong form of connexivity which excludes even cases in which ‘B is large’ is necessary. It is further argued that Aristotle’s view of connexivity is best understood as arising from his analysis of affirmation and negation in terms of combination and separation: a proposition that separates two terms cannot entail a proposition that combines the same two terms. In order to motivate this account of connexivity, this paper interprets Aristotle as emphasising the predicative structure, especially the copulae, of the argument’s component propositions. The arguments for this are based on a consideration of the larger context of APr 2.2–4. A reconstruction of the argument using propositional variables does not fully capture Aristotle’s intentions.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43064935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}