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25Assertive graphsJournal of Applied Non-Classical Logics 28 (1): 72-91. 2018.Peirce and Frege both distinguished between the propositional content of an assertion and the assertion of a propositional content, but with different notational means. We present a modification of Peirce’s graphical method of logic that can be used to reason about assertions in a manner similar to Peirce’s original method. We propose a new system of Assertive Graphs, which unlike the tradition that follows Frege involves no ad hoc sign of assertion. We show that axioms of intuitionistic logic c…Read more
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24Jan Dejnožka, The Concept of Relevance and the Logic Diagram TraditionStudia Logica 107 (4): 853-857. 2019.
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23Aristotelian Abductions: A Reply to FlórezTransactions of the Charles S. Peirce Society 55 (2): 185. 2019.In a brilliant article published in a past issue of the Transactions, Jorge A. Flórez examines Peirce’s theory of the origin of abduction in Aristotle. In the article Flórez makes two substantial points. In the first place, he argues that Peirce’s theory of the origin of abduction in the 25th chapter of the second book of the Prior Analytics is mistaken, because in that chapter Aristotle discusses first-figure syllogisms with a dialectic or contingent minor premise, and not, as Peirce thought, s…Read more
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22Frege: A fusion of horizontalsTheoria 89 (5): 690-709. 2023.In Die Grundgesetze der Arithmetik (I, §48), Frege introduces his rule of the fusion of horizontals, according to which if an occurrence of the horizontal stroke is followed by another occurrence of the same stroke, either in isolation or “contained” in a propositional connective, the two occurrences can be fused with each other. However, the role of this rule, and of the horizontal sign more generally, is controversial; Michael Dummett notoriously claimed, for instance, that the horizontal is “…Read more
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19The Sign of ConsequenceThe Commens Encyclopedia: The Digital Encyclopedia of Peirce Studies. 2016.The “sign of consequence” is a notation for propositional logic that Peirce invented in 1886 and used at least until 1894. It substituted the “copula of inclusion” which he had been using since 1870.
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16Peirce on Vagueness and Common SenseTransactions of the Charles S. Peirce Society 59 (2): 127-166. 2023.Abstract:"Issues of Pragmaticism" (1905) contains the only published version of Peirce's doctrine of "critical common-sensism." One of the claims of that doctrine is that common sense beliefs are invariably vague. In this paper, we seek to explain this claim. We begin by providing a philological reconstruction of the drafts of "Issues of Pragmaticism" and a comparison of Peirce's several, successive expositions of critical common-sensism across those drafts. Then we examine Peirce's theory of va…Read more
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16Methodeutic of AbductionIn John R. Shook & Sami Paavola (eds.), Abduction in Cognition and Action: Logical Reasoning, Scientific Inquiry, and Social Practice, Springer Verlag. pp. 107-127. 2021.Peirce’s claims that methodeutic “concerns abduction alone” and that “pragmatism contributes to the security of reasoning but hardly to its uberty” are explained. They match as soon as a third claim is taken into account, namely that “pragmatism is the logic of abduction,” not of deduction or induction. Since methodeutic concerns abduction and not deduction or induction, it follows that pragmatism is a maxim of methodeutic. Then, since pragmatism contributes to the security of reasoning but not …Read more
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15In the Posterior Analytics Aristotle contrasts demonstrations with syllogisms through signs. In the Prior Analytics he defines a sign as a demonstrative premise. One is thus led to ask: is a sign a demonstration? This book reconstructs the history of the notion of "demonstration through signs" from roughly the third through to the thirteenth century. It examines the work of Aristotle's Greek, Arabic, and Latin commentators, both within and outside the tradition of the Posterior Analytics.
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15Peirce’s Speculative Grammar: Logic as SemioticsRoutledge. 2017._Peirce’s Speculative Grammar: Logic as Semiotics _offers a comprehensive, philologically accurate, and exegetically ambitious developmental account of Peirce’s theory of speculative grammar. The book traces the evolution of Peirce’s grammatical writings from his early research on the classification of arguments in the 1860s up to the complex semiotic taxonomies elaborated in the first decade of the twentieth century. It will be of interest to academic specialists working on Peirce, the history …Read more
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12Peirce, philosophe du langageCahiers Philosophiques 150 (3): 91-110. 2017.Cet article soutient que s’il existe une philosophie du langage chez Peirce, il faut la chercher dans sa conception de la grammaire spéculative. Je reconstitue l’évolution de la grammaire spéculative de Peirce dans la période 1894- 1906, et je montre que, tandis que dans les années 1890 la grammaire spéculative est considérée comme une théorie de la proposition, Peirce la conçoit dès 1903 comme une classification générale des signes, incluant une théorie des actes de langage tout à fait pionnièr…Read more
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12Peirce on Assertion: Preface to the SymposiumTransactions of the Charles S. Peirce Society 57 (2): 205-209. 2021.ARRAY
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7RhemataSouthern Journal of Philosophy 61 (4): 553-568. 2023.The article offers an analysis of Peirce's notion of “rhema.” It examines and explains Peirce's definition of the rhema; it identifies and solves two problems that are direct consequences of the definition. The first problem is that proper names, while classified as rhemata, do not satisfy Peirce's definition of the rhema. The second problem is that Peirce also calls “rhemata” the results of propositional analysis that however do not satisfy his own definition of the rhema. Peirce himself solves…Read more
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48 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
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Diagrammatic Representation and Inference. 13th International Conference, Diagrams 2022, Rome, Italy, September 14–16, 2022, Proceedings (edited book)Springer, Cham. 2022.
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The Iconic Moment. Towards a Peircean Theory of Diagrammatic ImaginationIn Ángel Nepomuceno Fernández, Olga Pombo Martins & Juan Redmond (eds.), Epistemology, Knowledge and the Impact of Interaction, Springer Verlag. 2016.
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Philosophy of Notation in the 19th Century. Peirce, Husserl, and All the Others on Inclusion and AssertionIn Ahti-Veikko Pietarinen & Mohammad Shafiei (eds.), Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition, Springer Verlag. 2019.
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Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings (edited book)Springer-Verlag. 2018.
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Habits of Reasoning: On the Grammar and Critics of Logical HabitsIn Myrdene Anderson & Donna West (eds.), Consensus on Peirce’s Concept of Habit: Before and Beyond Consciousness, Springer Verlag. 2016.
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University of BolognaAssistant Professor