• Rhemata
    Southern Journal of Philosophy. forthcoming.
    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
  •  3
    Pragmatism and Logic
    European Journal of Pragmatism and American Philosophy 15 (1). 2023.
    The paper seeks to explain in what sense pragmatism was for Peirce a doctrine of logic. It is argued that pragmatism is a doctrine of logic for Peirce because its maxim, the pragmatic maxim, is a maxim of the methodeutic of abduction, i.e., concerns the method of selecting hypotheses for experimental testing. The paper also connects this idea to Peirce’s 1913 thesis according to which pragmatism contributes to the security but not to the uberty of reasoning. The connection consists in that by ex…Read more
  • Diagrammatic Representation and Inference. Diagrams 2022 (edited book)
    with V. Giardino, S. Linker, S. Burns, J. M. Boucheix, and P. Viana
    Springer. 2022.
  •  6
    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
  •  14
    Peirce on Proper Names
    Journal of the History of Philosophy 59 (3): 483-510. 2021.
  •  7
    An analysis of Existential Graphs–part 2: Beta
    Synthese 199 (3-4): 7705-7726. 2021.
    This paper provides an analysis of the notational difference between Beta Existential Graphs, the graphical notation for quantificational logic invented by Charles S. Peirce at the end of the 19th century, and the ordinary notation of first-order logic. Peirce thought his graphs to be “more diagrammatic” than equivalently expressive languages for quantificational logic. The reason of this, he claimed, is that less room is afforded in Existential Graphs than in equivalently expressive languages f…Read more
  •  23
    Peirce on Symbols
    Archiv für Geschichte der Philosophie 103 (1): 169-188. 2021.
    The goal of this paper is a reassessment of Peirce’s doctrine of symbol. The paper discusses a common reading of Peirce’s doctrine, according to which all and only symbols are conventional signs. Against this reading, it is argued that neither are all Peircean symbols conventional, nor are all conventional signs Peircean symbols. Rather, a Peircean symbol is a general sign, i. e., a sign that represents a general object.
  •  16
    Icons, Interrogations, and Graphs: On Peirce's Integrated Notion of Abduction
    Transactions of the Charles S. Peirce Society 56 (1): 43. 2020.
    The Syllabus for Certain Topics of Logic is a long treatise that Peirce wrote in October and November to complement the material of his 1903 Lowell Lectures. The last of the eight lectures was on abduction, first entitled “How to Theorize” and then “Abduction.” Of abduction, the Syllabus states that its “conclusion is drawn in the interrogative mood ”.1 This is not the first time that Peirce associates abduction to interrogations,2 but the statement is significant because it is the first time th…Read more
  •  20
    Peirce on the justification of abduction
    Studies in History and Philosophy of Science Part A 84 12-19. 2020.
  •  16
    Notational Differences
    Acta Analytica 35 (2): 289-314. 2020.
    Expressively equivalent logical languages can enunciate logical notions in notationally diversified ways. Frege’s Begriffsschrift, Peirce’s Existential Graphs, and the notations presented by Wittgenstein in the Tractatus all express the sentential fragment of classical logic, each in its own way. In what sense do expressively equivalent notations differ? According to recent interpretations, Begriffsschrift and Existential Graphs differ from other logical notations because they are capable of “mu…Read more
  • Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings (edited book)
    with Peter Chapman, Gem Stapleton, Amirouche Moktefi, and Sarah Perez-Kriz
    Springer-Verlag. 2018.
  •  62
    Peirce's Continuous Predicates
    Transactions of the Charles S. Peirce Society 49 (2): 178. 2013.
    A rose is a rose is a rose is a rose.As is well known, according to Charles S. Peirce one of the principal tasks of logic is the analysis of reasoning. This was indeed the explicit purpose of his logical algebras and graphical logic, and Peirce often credits himself with possessing a special gift for logical analysis. Yet he surprisingly also holds that “absolute completeness of logical analysis is no less unattainable [than] is omniscience. Carry it as far as you please, and something will alwa…Read more
  •  4
    Peirce, philosophe du langage
    Cahiers Philosophiques 3 91. 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
  •  14
    Aristotelian Abductions: A Reply to Flórez
    Transactions 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
  •  24
    Peirce on assertion and other speech acts
    Semiotica 2019 (228): 29-54. 2019.
    Journal Name: Semiotica Issue: Ahead of print
  • Habits of Reasoning: On the Grammar and Critics of Logical Habits
    with Ahti-Veikko Pietarinen
    In Myrdene Anderson & Donna West (eds.), Consensus on Peirce’s Concept of Habit, Springer Verlag. 2016.
  • The Iconic Moment. Towards a Peircean Theory of Diagrammatic Imagination
    with Ahti-Veikko Pietarinen
    In Ángel Nepomuceno Fernández, Olga Pombo Martins & Juan Redmond (eds.), Epistemology, Knowledge and the Impact of Interaction, Springer Verlag. 2016.
  •  29
    Analysis and decomposition in Peirce
    Synthese 198 (1): 687-706. 2018.
    Peirce seems to maintain two incompatible theses: that a sentence is multiply analyzable into subject and predicate, and that a sentence is uniquely analyzable as a combination of rhemata of first intention and rhemata of second intention. In this paper it is argued that the incompatibility disappears as soon as we distinguish, following Dummett’s work on Frege, two distinct notions of analysis: ‘analysis’ proper, whose purpose is to display the manner in which the sense of a sentence is determi…Read more
  •  47
    Eco and Peirce on Abduction
    European Journal of Pragmatism and American Philosophy 10 (1). 2018.
    This paper argues that Umberto Eco had a sophisticated theory of abductive reasoning and that this theory is fundamentally akin to Peirce’s both in the analysis and in the justification of this kind of reasoning. The first section expounds the essentials of Peirce’s theory of abduction, and explains how Peirce moved from seeing abduction as a kind of reasoning to seeing it as a stage of the larger process of inquiry. The second section deals with one of Eco’s paradigmatic examples of abduction, …Read more
  •  13
    Assertive graphs
    with D. Chiffi and A.-V. Pietarinen
    Journal 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
  •  27
    Reprint of: Assertion and denial: A contribution from logical notations
    with Ahti-Veikko Pietarinen
    Journal of Applied Logic 25. 2017.
  •  12
    The Sign of Consequence
    The 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.
  •  23
    Signs and demonstration in Aristotle
    British Journal for the History of Philosophy 26 (3): 410-428. 2018.
    ABSTRACTIn this paper, I explore the contrast drawn by Aristotle in two parallel passages of the Posterior Analytics between ‘signs’ and ‘demonstration’. I argue that while at APo. I.6 Aristotle contrasts demonstration proper with a deductively valid sign-syllogism, at APo. II.17 the contrast is rather between a demonstration proper and a deductively invalid sign-syllogism.
  •  17
    Assertion and denial: A contribution from logical notations
    with Ahti-Veikko Pietarinen
    Journal of Applied Logic 25 1-22. 2017.
  •  53
    Simplex sigillum veri: Peano, Frege, and Peirce on the Primitives of Logic
    with Amirouche Moktefi and Ahti-Veikko Pietarinen
    History and Philosophy of Logic 39 (1): 80-95. 2018.
    We propose a reconstruction of the constellation of problems and philosophical positions on the nature and number of the primitives of logic in four authors of the nineteenth century logical scene: Peano, Padoa, Frege and Peirce. We argue that the proposed reconstruction forces us to recognize that it is in at least four different senses that a notation can be said to be simpler than another, and we trace the origins of these four senses in the writings of these authors. We conclude that Frege, …Read more
  •  177
    The Sign of Consequence
    The Digital Encyclopedia of Peirce Studies 1 1-5. 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.