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  1.  61
    New Light on Peirce's Conceptions of Retroduction, Deduction, and Scientific Reasoning.Ahti-Veikko Pietarinen & Francesco Bellucci - 2014 - International Studies in the Philosophy of Science 28 (4):353-373.
    We examine Charles S. Peirce's mature views on the logic of science, especially as contained in his later and still mostly unpublished writings. We focus on two main issues. The first concerns Peirce's late conception of retroduction. Peirce conceived inquiry as performed in three stages, which correspond to three classes of inferences: abduction or retroduction, deduction, and induction. The question of the logical form of retroduction, of its logical justification, and of its methodology stands out as the three major threads (...)
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  2.  18
    Existential Graphs as an Instrument of Logical Analysis: Part I. Alpha.Francesco Bellucci & Ahti-Veikko Pietarinen - 2016 - Review of Symbolic Logic 9 (2):209-237.
    Peirce considered the principal business of logic to be the analysis of reasoning. He argued that the diagrammatic system of Existential Graphs, which he had invented in 1896, carries the logical analysis of reasoning to the furthest point possible. The present paper investigates the analytic virtues of the Alpha part of the system, which corresponds to the sentential calculus. We examine Peirce’s proposal that the relation of illation is the primitive relation of logic and defend the view that this idea (...)
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  3. Peirce’s Speculative Grammar: Logic as Semiotics.Francesco Bellucci - 2017 - Routledge.
    _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 of American philosophy and pragmatism, the philosophy of language, the (...)
     
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  4.  44
    Simplex Sigillum Veri: Peano, Frege, and Peirce on the Primitives of Logic.Francesco Bellucci, Amirouche Moktefi & Ahti-Veikko Pietarinen - 2018 - History and Philosophy of Logic 39 (1):80-95.
    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. (...)
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  5.  28
    From Mitchell to Carus: Fourteen Years of Logical Graphs in the Making.Francesco Bellucci & Ahti-Veikko Pietarinen - 2016 - Transactions of the Charles S. Peirce Society 52 (4):539.
    It is well-known that by 1882, Peirce, influenced by Cayley’s, Clifford’s and Sylvester’s works on algebraic invariants and by the chemical analogy, had already achieved something like a diagrammatic treatment of quantificational logic of relatives. The details of that discovery and its implications to some wider issues in logical theory merit further investigation, however. This paper provides a reconstruction of the genesis of Peirce’s logical graphs from the early 1880s until 1896, covering the period of time during which he already (...)
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  6.  56
    Peirce's Continuous Predicates.Francesco Bellucci - 2013 - Transactions of the Charles S. Peirce Society 49 (2):178.
    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 (CP 4.134, 1893). 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 (SS 114, 1909). Yet he surprisingly also holds that “absolute completeness of logical analysis is no less unattainable [than] is omniscience. (...)
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  7.  13
    Icons, Interrogations, and Graphs: On Peirce's Integrated Notion of Abduction.Francesco Bellucci & Ahti-Veikko Pietarinen - 2020 - Transactions of the Charles S. Peirce Society 56 (1):43.
    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 (...)
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  8.  13
    Assertion and Denial: A Contribution From Logical Notations.Ahti-Veikko Pietarinen & Francesco Bellucci - 2017 - Journal of Applied Logic 25:1-22.
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  9.  13
    Exploring Peirce’s Speculative Grammar: The Immediate Object of a Sign.Francesco Bellucci - 2015 - Sign Systems Studies 43 (4):399-418.
    The paper argues against what I call the “Fregean interpretation” of Peirce’s distinction between the immediate and the dynamic object of a sign, according to which Peirce’s dynamic object is akin to Frege’s Bedeutung, while Peirce’s immediate object is akin to Frege’s Sinn. After having exposed the Fregean interpretation, I briefly reconstruct the genesis of Peirce’s notion of immediate object in his semiotic writings of the years 1904–1909 and defend the view that, according to Peirce, only propositions have immediate objects.Includes: (...)
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  10.  21
    Reprint Of: Assertion and Denial: A Contribution From Logical Notations.Ahti-Veikko Pietarinen & Francesco Bellucci - 2017 - Journal of Applied Logic 25:S3-S24.
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  11.  47
    Eco and Peirce on Abduction.Francesco Bellucci - 2018 - European Journal of Pragmatism and American Philosophy 10 (1).
  12.  22
    Charles S. Peirce and the Medieval Doctrine of Consequentiae.Francesco Bellucci - 2016 - History and Philosophy of Logic 37 (3):244-268.
    In 1898 C. S. Peirce declares that the medieval doctrine of consequences had been the starting point of his logical investigations in the 1860s. This paper shows that Peirce studied the scholastic theory of consequentiae as early as 1866–67, that he adopted the scholastics’ terminology, and that that theory constituted a source of logical doctrine that sustained Peirce for a lifetime of creative and original work.
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  13.  27
    Inferences From Signs: Peirce and the Recovery of the Σημεῖον.Francesco Bellucci - 2016 - Transactions of the Charles S. Peirce Society 52 (2):259.
    According to an established reconstruction,1 Augustine of Hippo in the fourth century CE was the first to perform a complete fusion between the theory of signs and the theory of language. Before Augustine, these were considered separate fields of investigation. Aristotle had presented his theory of language in the De Interpretatione, in which the “things in the voice” are said to be “symbols” of the “affections of the soul”, and his theory of inference from signs in the Analytics, where a (...)
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  14.  7
    The Sign of Consequence.Francesco Bellucci - 2016 - The Commens Encyclopedia: The Digital Encyclopedia of Peirce Studies.
    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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  15.  15
    Neat, Swine, Sheep, and Deer: Mill and Peirce on Natural Kinds.Francesco Bellucci - 2015 - British Journal for the History of Philosophy 23 (5):911-932.
    In the earliest phase of his logical investigations, Peirce adopts Mill's doctrine of real Kinds as discussed in the System of Logic and adapts it to the logical conceptions he was then developing. In Peirce's definition of natural class, a crucial role is played by the notion of information: a natural class is a class of which some non-analytical proposition is true. In Peirce's hands, Mill's distinction between connotative and non-connotative terms becomes a distinction between symbolic and informative and pseudo-symbolic (...)
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  16.  17
    Peirce's Continuous Predicates.Francesco Bellucci - 2013 - Transactions of the Charles S. Peirce Society 49 (2):52.
  17.  22
    Diagrammatic Reasoning: Some Notes on Charles S. Peirce and Friedrich A. Lange.Francesco Bellucci - 2013 - History and Philosophy of Logic 34 (4):293 - 305.
    According to the received view, Charles S. Peirce's theory of diagrammatic reasoning is derived from Kant's philosophy of mathematics. For Kant, only mathematics is constructive/synthetic, logic being instead discursive/analytic, while for Peirce, the entire domain of necessary reasoning, comprising mathematics and deductive logic, is diagrammatic, i.e. constructive in the Kantian sense. This shift was stimulated, as Peirce himself acknowledged, by the doctrines contained in Friedrich Albert Lange's Logische Studien (1877). The present paper reconstructs Peirce's reading of Lange's book, and illustrates (...)
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  18.  13
    Peirce, Leibniz, and the Threshold of Pragmatism.Francesco Bellucci - 2013 - Semiotica 2013 (195):331-355.
    Journal Name: Semiotica - Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique Volume: 2013 Issue: 195 Pages: 331-355.
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  19. Peirce’s Logic.Francesco Bellucci & Ahti-Veikko Pietarinen - 2015 - Internet Encyclopedia of Philosophy.
    Charles Sanders Peirce: Logic Charles Sanders Peirce was an accomplished scientist, philosopher, and mathematician, who considered himself primarily a logician. His contributions to the development of modern logic at the turn of the 20th century were colossal, original and influential. Formal, or deductive, logic was just one of the branches in which he exercized … Continue reading Peirce’s Logic →.
     
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  20.  9
    Aristotelian Abductions: A Reply to Flórez.Francesco Bellucci - 2019 - Transactions of the Charles S. Peirce Society 55 (2):185.
    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, (...)
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  21.  26
    Analysis and Decomposition in Peirce.Francesco Bellucci - 2018 - Synthese 198 (1):687-706.
    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 determined by (...)
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  22.  2
    An analysis of Existential Graphs–part 2: Beta.Francesco Bellucci & Ahti-Veikko Pietarinen - forthcoming - Synthese:1-22.
    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 for different ways of representing the same fact. (...)
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  23.  4
    Comment.Francesco Bellucci - 2015 - Sign Systems Studies 43 (4):433-437.
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  24. Habits of Reasoning: On the Grammar and Critics of Logical Habits.Francesco Bellucci & Ahti-Veikko Pietarinen - 2016 - In Myrdene Anderson & Donna West (eds.), Consensus on Peirce’s Concept of Habit. Springer Verlag.
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  25.  32
    Introduction: History and Philosophy of Logical Notation.Francesco Bellucci, Amirouche Moktefi & Ahti-Veikko Pietarinen - 2018 - History and Philosophy of Logic 39 (1):1-2.
    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. (...)
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  26.  14
    Jan Dejnožka, The Concept of Relevance and the Logic Diagram Tradition : Ann Arbor, Michigan: CreateSpace, 2012, Pp. 154; Reprinted in 2015 with Minor Corrections. ISBN 9781475071092. $13.99.Francesco Bellucci - 2019 - Studia Logica 107 (4):853-857.
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  27.  25
    Logic, Psychology, and Apperception: Charles S. Peirce and Johann F. Herbart.Francesco Bellucci - 2015 - Journal of the History of Ideas 76 (1):69-91.
  28.  13
    Notational Differences.Francesco Bellucci & Ahti-Veikko Pietarinen - 2020 - Acta Analytica 35 (2):289-314.
    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 “multiple readings.” We refute this interpretation by showing that there are at least three different kinds (...)
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  29.  18
    Peirce on Assertion and Other Speech Acts.Francesco Bellucci - 2019 - Semiotica 2019 (228):29-54.
    Journal Name: Semiotica Issue: Ahead of print.
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  30. Philosophy of Notation in the 19th Century. Peirce, Husserl, and All the Others on Inclusion and Assertion.Francesco Bellucci - 2019 - In Ahti-Veikko Pietarinen & Mohammad Shafiei (eds.), Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition. Springer Verlag.
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  31.  4
    Peirce on Symbols.Francesco Bellucci - 2021 - Archiv für Geschichte der Philosophie 103 (1):169-188.
    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.
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  32.  15
    Peirce on the Justification of Abduction.Francesco Bellucci & Ahti-Veikko Pietarinen - 2020 - Studies in History and Philosophy of Science Part A 84:12-19.
  33.  2
    Peirce, philosophe du langage.Francesco Bellucci - 2017 - Cahiers Philosophiques 3:91.
    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 pionnière.
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  34.  20
    Signs and Demonstration in Aristotle.Francesco Bellucci - 2018 - British Journal for the History of Philosophy 26 (3):410-428.
    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.
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  35. The Iconic Moment. Towards a Peircean Theory of Diagrammatic Imagination.Francesco Bellucci & Ahti-Veikko Pietarinen - 2016 - In Ángel Nepomuceno Fernández, Olga Pombo Martins & Juan Redmond (eds.), Epistemology, Knowledge and the Impact of Interaction. Springer Verlag.
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  36. The Sign of Consequence.Francesco Bellucci - 2016 - The Digital Encyclopedia of Peirce Studies 1:1-5.
    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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  37. Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings.Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah Perez-Kriz & Francesco Bellucci (eds.) - 2018 - Cham, Switzerland: Springer-Verlag.
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