{"title":"The Logical Writings of Karl Popper","authors":"Constantin C. Brîncuş","doi":"10.1080/01445340.2023.2199100","DOIUrl":"https://doi.org/10.1080/01445340.2023.2199100","url":null,"abstract":"","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43279262","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":"The Arithmetical dictum","authors":"P. Maffezioli, Riccardo Zanichelli","doi":"10.1080/01445340.2023.2190309","DOIUrl":"https://doi.org/10.1080/01445340.2023.2190309","url":null,"abstract":"Building on previous scholarly work on the mathematical roots of assertoric syllogistic we submit that for Aristotle, the semantic value of the copula in universal affirmative propositions is the relation of divisibility on positive integers. The adequacy of this interpretation, labeled here ‘arithmetical dictum’, is assessed both theoretically and textually with respect to the existing interpretations, especially the so-called ‘mereological dictum’.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41854023","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":"Form, Formality, Formalism in Hegel’s Dialectic-Speculative Logic","authors":"A. Nuzzo","doi":"10.1080/01445340.2023.2181581","DOIUrl":"https://doi.org/10.1080/01445340.2023.2181581","url":null,"abstract":"This essay addresses the general systematic question underlying any project of ‘formalization’ of Hegel’s dialectic-speculative logic, namely, the question concerning the peculiar concept of logical ‘form’ and the connected type of ‘formalism’ at stake in a logic that is, programmatically and innovatively within the historical tradition, a ‘dialectic-speculative’ logic.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"169 - 183"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"59177443","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":"Introduction: The Formalization of Dialectics","authors":"E. Ficara, G. Priest","doi":"10.1080/01445340.2023.2182598","DOIUrl":"https://doi.org/10.1080/01445340.2023.2182598","url":null,"abstract":"The idea at the basis of this special issue is that reopening the old debate about the logical status of Hegel's dialectics is extremely interesting, for various reasons. The first reason is that a new Hegel is circulating, nowadays, in the philosophical literature, with specific reference to Hegel's dialectical logic and its relation to the history and philosophy of logic. This development deserves to be accounted for. Secondly, new research about the connection between contradictory logical systems and Hegel's dialectics is also being developed, and this too deserves to be acknowledged. Finally there are, recently, confirmations that the concept of dialectics is of general interest, and that the usual perplexities about the Hegelian triadic and fairly mechanic device of ‘yes, not, and not not’ are in remission.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"115 - 118"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48849266","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":"The Logical Structure of Dialectic","authors":"G. Priest","doi":"10.1080/01445340.2023.2182584","DOIUrl":"https://doi.org/10.1080/01445340.2023.2182584","url":null,"abstract":"I give a formal model of dialectical progression, as found in Hegel and Marx. The model is outlined in the first half of the paper, and deploys the tools of a formal paraconsistent logic. In the second half, I discuss a number of examples of dialectical progressions to be found in Hegel and Marx, showing how they fit the model.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"200 - 208"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47602922","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":"Hegelian Conjunction, Hegelian Contradiction","authors":"J. Beall, E. Ficara","doi":"10.1080/01445340.2023.2189807","DOIUrl":"https://doi.org/10.1080/01445340.2023.2189807","url":null,"abstract":"Understanding what is the strictly formal import of Hegel's view is something on which few analytic philosophers have seen time worth spending. Still in our view there is enough in Hegel's work to suggest that a formal account of his dialectial process might be profitable both for better understanding Hegel's ideas and for introducing a new sort of glutty logic. The focus of our analysis is Hegel's Conjunction, which, in our view, is the crucial dialectical operation, on which all others are ultimately based.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"119 - 131"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47911254","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":"Intuitionist and Classical Dimensions of Hegel’s Hybrid Logic","authors":"P. Redding","doi":"10.1080/01445340.2023.2180727","DOIUrl":"https://doi.org/10.1080/01445340.2023.2180727","url":null,"abstract":"Hegel interpreters commonly reject attempts to situate Hegel’s logic in relation to modern movements. Appealing to his criticisms of the logic of Verstand or mere understanding with its fixed logical structure, Hegel’s logic, it is pointed out, was a logic of Vernunft or reason—a logic more at home in the thought of Plato and Aristotle than in modern mathematical forms. Contesting this implied dichotomy, it is here argued that the ancient roots of Hegel’s logic, especially as transmitted by late Neopythagorean/Neoplatonic thinkers such as Proclus, gave it many features similar to ones later found in the type of algebraic transformation of Aristotle, started first by Leibniz, reanimated by Boole in the mid-nineteenth century and then developed by others such as C. S. Peirce and Arend Heyting. In particular, the ancient mathematics upon which Hegel had drawn allowed him to anticipate an answer to the criticism that Frege would later aim at Boole, concerning his inability to unite opposed class and propositional calculi. Hegel’s logic would be a hybrid, incorporating features found later in intuitionist and classical logic, but it could be so because of the way he had called upon the mathematics of the ancient Platonist tradition.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"209 - 224"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47087842","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 Interpretation of the Sorites","authors":"Franca d’Agostini","doi":"10.1080/01445340.2023.2189808","DOIUrl":"https://doi.org/10.1080/01445340.2023.2189808","url":null,"abstract":"ABSTRACT Hegel’s approach to soritical arguments (as well as to paradoxes in general) can be read as a kind of conjunctive paraconsistency: the ‘explosive’ effect of contradictions is avoided by assuming ‘the unity of the opposites’, so that contradictory conjunctions are not simplifiable. The paper reconsiders what Hegel says about the Sorites and justifies the conjunctive interpretation. The first section introduces the analysis, presenting the role of the Einheit Entgegengesetzter for contemporary theories of paradoxes. In the second section, the focus is on Hegel’s interpretation of the Sorites. The third section briefly considers some contemporary accounts of vagueness in the light of Hegel’s view so reconstructed. The last section summarizes the main results and explores some ideas about how to formalize a Hegel-inspired conjunctive view.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"132 - 150"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46582748","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":"A Lack of Form in Hegel’s Logic? Hegel and the Trans-classical Logic of Gotthard Günther","authors":"Valentin Pluder","doi":"10.1080/01445340.2023.2203011","DOIUrl":"https://doi.org/10.1080/01445340.2023.2203011","url":null,"abstract":"Gotthard Günther's early work is inspired by Hegel's logic. Both share the view that the forms of ‘classical logic’ are insufficient to capture essential aspects of thought. However, while Hegel rules out formalization for his dialectical logic, Günther attributes this to the fact that Hegel's thought itself is still bound to the forms of a classical logic. Günther thus develops a trans-classical logic, with which he believes he can formally capture some of Hegel's insights. The paper presents Günther’s critical engagement with Hegel and outlines some basic assumptions arising from his critique.","PeriodicalId":55053,"journal":{"name":"History and Philosophy of Logic","volume":"44 1","pages":"184 - 199"},"PeriodicalIF":0.5,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46319870","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}