97 found
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  1.  27
    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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  2.  77
    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examine Charles S. Peirce's mature views on the logic of science, especially as contained in his later and still mostly unpublished writings.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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  3.  36
    Gamma graph calculi for modal logics.Minghui Ma & Ahti-Veikko Pietarinen - 2018 - Synthese 195 (8):3621-3650.
    We describe Peirce’s 1903 system of modal gamma graphs, its transformation rules of inference, and the interpretation of the broken-cut modal operator. We show that Peirce proposed the normality rule in his gamma system. We then show how various normal modal logics arise from Peirce’s assumptions concerning the broken-cut notation. By developing an algebraic semantics we establish the completeness of fifteen modal logics of gamma graphs. We show that, besides logical necessity and possibility, Peirce proposed an epistemic interpretation of the (...)
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  4.  66
    Abductive inference within a pragmatic framework.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Synthese 197 (6):2507-2523.
    This paper presents an enrichment of the Gabbay–Woods schema of Peirce’s 1903 logical form of abduction with illocutionary acts, drawing from logic for pragmatics and its resources to model justified assertions. It analyses the enriched schema and puts it into the perspective of Peirce’s logic and philosophy.
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  5.  44
    Peirce’s calculi for classical propositional logic.Minghui Ma & Ahti-Veikko Pietarinen - 2020 - Review of Symbolic Logic 13 (3):509-540.
    This article investigates Charles Peirce’s development of logical calculi for classical propositional logic in 1880–1896. Peirce’s 1880 work on the algebra of logic resulted in a successful calculus for Boolean algebra. This calculus, denoted byPC, is here presented as a sequent calculus and not as a natural deduction system. It is shown that Peirce’s aim was to presentPCas a sequent calculus. The law of distributivity, which Peirce states in 1880, is proved using Peirce’s Rule, which is a residuation, inPC. The (...)
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  6. Why Images Cannot be Arguments, But Moving Ones Might.Marc Champagne & Ahti-Veikko Pietarinen - 2020 - Argumentation 34 (2):207-236.
    Some have suggested that images can be arguments. Images can certainly bolster the acceptability of individual premises. We worry, though, that the static nature of images prevents them from ever playing a genuinely argumentative role. To show this, we call attention to a dilemma. The conclusion of a visual argument will either be explicit or implicit. If a visual argument includes its conclusion, then that conclusion must be demarcated from the premise or otherwise the argument will beg the question. If (...)
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  7.  65
    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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  8.  21
    Active Inference and Abduction.Ahti-Veikko Pietarinen & Majid D. Beni - 2021 - Biosemiotics 14 (2):499-517.
    The background target of the research going into the present article is to forge an intellectual alliance between, on the one hand, active inference and the free-energy principle (FEP), and on the other, Charles S. Peirce’s theory of semiotics and pragmatism. In the present paper, the focus is on the allegiance between the nomenclatures of active and abductive inferences as the proper place to begin reaching at that wider target. The paper outlines the key conceptual elements involved in a naturalistic (...)
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  9.  38
    Let Us Investigate! Dynamic Conjecture-Making as the Formal Logic of Abduction.Minghui Ma & Ahti-Veikko Pietarinen - 2018 - Journal of Philosophical Logic 47 (6):913-945.
    We present a dynamic approach to Peirce’s original construal of abductive logic as a logic of conjecture making, and provide a new decidable, contraction-free and cut-free proof system for the dynamic logic of abductive inferences with neighborhood semantics. Our formulation of the dynamic logic of abduction follows the philosophical and scientific track that led Peirce to his late, post-1903 characterization of abductive conclusions as investigands, namely invitations to investigate propositions conjectured at the level of pre-beliefs.
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  10.  28
    Exploring the beta quadrant.Ahti-Veikko Pietarinen - 2015 - Synthese 192 (4):941-970.
    The theory of existential graphs, which Peirce ultimately divided into four quadrants , is a rich method of analysis in the philosophy of logic. Its $$\upbeta $$ β -part boasts a diagrammatic theory of quantification, which by 1902 Peirce had used in the logical analysis of natural-language expressions such as complex donkey-type anaphora, quantificational patterns describing new mathematical concepts, and cognitive information processing. In the $$\upbeta $$ β -quadrant, he came close to inventing independence-friendly logic, the idea of which he (...)
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  11.  32
    Two papers on existential graphs by Charles Peirce.Ahti-Veikko Pietarinen - 2015 - Synthese 192 (4):881-922.
    The following two articles comprise two sets of Charles Peirce’s manuscripts, “Recent Developments of Existential Graphs and their Consequences for Logic” (MS 498, MS 499, MS 490 & S-36, 1906) and “Assurance through Reasoning” (MS 669 & MS 670, 1911), written for the National Academy of Sciences meetings in 1906 and 1911. The papers are deposited at Houghton Library, Harvard University. Only some parts of MS 470 have been published before, and in somewhat defective form. Although “Assurance” follows “Recent Developments” (...)
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  12.  82
    We don’t know we don’t know: asserting ignorance.Massimiliano Carrara, Daniele Chiffi, Ciro De Florio & Ahti-Veikko Pietarinen - 2019 - Synthese 198 (4):3565-3580.
    The pragmatic logic of assertions shows a connection between ignorance and decidability. In it, we can express pragmatic factual ignorance and first-order ignorance as well as some of their variants. We also show how some pragmatic versions of second-order ignorance and of Rumsfeld-ignorance may be formulated. A specific variant of second-order ignorance is particularly relevant. This indicates a strong pragmatic version of ignorance of ignorance, irreducible to any previous form of ignorance, which defines limits to what can justifiably be asserted (...)
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  13.  18
    Abduction and diagrams.Ahti-Veikko Pietarinen - forthcoming - Logic Journal of the IGPL.
    Abductive conclusions are drawn in a special, co-hortative mood. Abductive conclusions are representative interpretants that represent abduction as a form of reasoning that can convey a general conception of the truth. The truth is not asserted; abduction merely delivers the idea of a matter of course, rendering that idea comparatively simple and natural, hence assuring us of its justified assertibility. Hence abductive reasoning is at home in addressing ‘How Possible’-questions in science. Abductive reasoning concerns the question of how things might, (...)
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  14.  28
    Fundamental Uncertainty and Values.Daniele Chiffi & Ahti-Veikko Pietarinen - 2017 - Philosophia 45 (3):1027-1037.
    This paper explores the intertwining of uncertainty and values. We consider an important but underexplored field of fundamental uncertainty and values in decision-making. Some proposed methodologies to deal with fundamental uncertainty have included potential surprise theory, scenario planning and hypothetical retrospection. We focus on the principle of uncertainty transduction in hypothetical retrospection as an illustrative case of how values interact with fundamental uncertainty. We show that while uncertainty transduction appears intuitive in decision contexts it nevertheless fails in important ranges of (...)
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  15.  22
    Proof Analysis of Peirce’s Alpha System of Graphs.Minghui Ma & Ahti-Veikko Pietarinen - 2017 - Studia Logica 105 (3):625-647.
    Charles Peirce’s alpha system \ is reformulated into a deep inference system where the rules are given in terms of deep graphical structures and each rule has its symmetrical rule in the system. The proof analysis of \ is given in terms of two embedding theorems: the system \ and Brünnler’s deep inference system for classical propositional logic can be embedded into each other; and the system \ and Gentzen sequent calculus \ can be embedded into each other.
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  16.  66
    Existential Graphs: What a Diagrammatic Logic of Cognition Might Look Like.Ahti-Veikko Pietarinen - 2011 - History and Philosophy of Logic 32 (3):265-281.
    This paper examines the contemporary philosophical and cognitive relevance of Charles Peirce's diagrammatic logic of existential graphs (EGs), the ‘moving pictures of thought’. The first part brings to the fore some hitherto unknown details about the reception of EGs in the early 1900s that took place amidst the emergence of modern conceptions of symbolic logic. In the second part, philosophical aspects of EGs and their contributions to contemporary logical theory are pointed out, including the relationship between iconic logic and images, (...)
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  17.  25
    The Science to Save Us from Philosophy of Science.Ahti-Veikko J. Pietarinen - 2015 - Axiomathes 25 (2):149-166.
    Are knowledge and belief pivotal in science, as contemporary epistemology and philosophy of science nearly universally take them to be? I defend the view that scientists are not primarily concerned with knowing and that the methods of arriving at scientific hypotheses, models and scenarios do not commit us having stable beliefs about them. Instead, what drives scientific discovery is ignorance that scientists can cleverly exploit. Not an absence or negation of knowledge, ignorance concerns fundamental uncertainty, and is brought out by (...)
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  18.  32
    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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  19. Peirce's pragmatic theory of proper names.Ahti-Veikko Pietarinen - 2010 - Transactions of the Charles S. Peirce Society 46 (3):341-363.
    Charles Peirce's theory of proper names is intimately connected to a number of central topics in contemporary philosophy of language and logic. Several papers have appeared in the past in which Peirce's theory of names has been attested to be a precursor of the causal-historical theory of reference.2 The causal-historical theory in turn has customarily been pigeonholed as the 'new' theories of reference that have been emerging since the 1950s (Devitt 1981; Donellan 1966; Kripke 1980; Marcus 1950; Putnam 1973). Among (...)
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  20.  25
    Peirce on the justification of abduction.Francesco Bellucci & Ahti-Veikko Pietarinen - 2020 - Studies in History and Philosophy of Science Part A 84:12-19.
  21.  35
    Peirce and the logic of image.Ahti-Veikko Pietarinen - 2012 - Semiotica 2012 (192):251-261.
  22.  31
    Aligning the free-energy principle with Peirce’s logic of science and economy of research.Majid D. Beni & Ahti-Veikko Pietarinen - 2021 - European Journal for Philosophy of Science 11 (3):1-21.
    The paper proposes a way to naturalise Charles S. Peirce’s conception of the scientific method, which he specified in terms of abduction, deduction and induction. The focus is on the central issue of the economy of research in abduction and self-correction by error reduction in induction. We show how Peirce’s logic of science receives support from modern breakthroughs in computational neuroscience, and more specifically from Karl Friston’s statements of active inference and the Free Energy Principle, namely the account of how (...)
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  23.  21
    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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  24.  9
    An analysis of Existential Graphs–part 2: Beta.Francesco Bellucci & Ahti-Veikko Pietarinen - 2021 - Synthese 199 (3-4):7705-7726.
    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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  25.  44
    On Explainable AI and Abductive Inference.Kyrylo Medianovskyi & Ahti-Veikko Pietarinen - 2022 - Philosophies 7 (2):35.
    Modern explainable AI methods remain far from providing human-like answers to ‘why’ questions, let alone those that satisfactorily agree with human-level understanding. Instead, the results that such methods provide boil down to sets of causal attributions. Currently, the choice of accepted attributions rests largely, if not solely, on the explainee’s understanding of the quality of explanations. The paper argues that such decisions may be transferred from a human to an XAI agent, provided that its machine-learning algorithms perform genuinely abductive inferences. (...)
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  26. 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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  27.  37
    To Peirce Hintikka’s Thoughts.Ahti-Veikko Pietarinen - 2019 - Logica Universalis 13 (2):241-262.
    This paper compares Peirce’s and Hintikka’s logical philosophies and identifies a cross-section of similarities in their thoughts in the areas of action-first epistemology, pragmaticist meaning, philosophy of science, and philosophy of logic and mathematics.
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  28.  3
    To Peirce Hintikka’s Thoughts.Ahti-Veikko Pietarinen - 2019 - Logica Universalis 13 (2):241-262.
    This paper compares Peirce’s and Hintikka’s logical philosophies and identifies a cross-section of similarities in their thoughts in the areas of action-first epistemology, pragmaticist meaning, philosophy of science, and philosophy of logic and mathematics.
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  29. Moving pictures of thought II: Graphs, games, and pragmaticism's proof.Ahti-Veikko Pietarinen - 2011 - Semiotica 2011 (186):315-331.
    Peirce believed that his pragmaticism can be conclusively proven. Beginning in 1903, he drafted several attempts, ending by 1908 with a semeiotic proof. Around 1905, he exposes the proof using the theory of Existential Graphs . This paper modernizes the semantics Peirce proposed for EGs in terms of game-theoretic semantics . Peirce's 1905 proof is then reconstructed in three parts, by relating pragmaticism to the GTS conception of meaning, showing that Peirce's proof is an argument for a relational structure of (...)
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  30.  67
    Peirce’s Contributions to Possible-Worlds Semantics.Ahti-Veikko Pietarinen - 2006 - Studia Logica 82 (3):345 - 369.
    A century ago, Charles S. Peirce proposed a logical approach to modalities that came close to possible-worlds semantics. This paper investigates his views on modalities through his diagrammatic logic of Existential Graphs (EGs). The contribution of the gamma part of EGs to the study of modalities is examined. Some ramifications of Peirce’s remarks are presented and placed into a contemporary perspective. An appendix is included that provides a transcription with commentary of Peirce’s unpublished manuscript on modality from 1901.
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  31.  21
    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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  32.  21
    Peirce’s Contributions to Possible-Worlds Semantics.Ahti-Veikko Pietarinen - 2006 - Studia Logica 82 (3):345-369.
    A century ago, Charles S. Peirce proposed a logical approach to modalities that came close to possible-worlds semantics. This paper investigates his views on modalities through his diagrammatic logic of Existential Graphs. The contribution of the GAMMA part of EGs to the study of modalities is examined. Some ramifications of Peirce's remarks are presented and placed into a contemporary perspective. An appendix is included that provides a transcription with commentary of Peirce's unpublished manuscript on modality from 1901.
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  33.  35
    Cultivating Habits of Reason: Peirce and the Logica Utens versus Logica Docens Distinction.Ahti-Veikko Pietarinen - 2005 - History of Philosophy Quarterly 22 (4):357 - 372.
  34. Compositionality, Relevance, and Peirce’s Logic of Existential Graphs.Ahti-Veikko Pietarinen - 2005 - Axiomathes 15 (4):513-540.
    Charles S. Peirce’s pragmatist theory of logic teaches us to take the context of utterances as an indispensable logical notion without which there is no meaning. This is not a spat against compositionality per se , since it is possible to posit extra arguments to the meaning function that composes complex meaning. However, that method would be inappropriate for a realistic notion of the meaning of assertions. To accomplish a realistic notion of meaning (as opposed e.g. to algebraic meaning), Sperber (...)
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  35.  57
    Games as formal tools versus games as explanations in logic and science.Ahti-Veikko Pietarinen - 2003 - Foundations of Science 8 (4):317-364.
    This paper addresses the theoretical notion of a game as it arisesacross scientific inquiries, exploring its uses as a technical andformal asset in logic and science versus an explanatory mechanism. Whilegames comprise a widely used method in a broad intellectual realm(including, but not limited to, philosophy, logic, mathematics,cognitive science, artificial intelligence, computation, linguistics,physics, economics), each discipline advocates its own methodology and aunified understanding is lacking. In the first part of this paper, anumber of game theories in formal studies are critically (...)
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  36.  49
    Significs and the Origins of Analytic Philosophy.Ahti-Veikko Pietarinen - 2009 - Journal of the History of Ideas 70 (3):467-490.
    In this article I bring to light a group of scientific and philosophical ideas and intellectual currents from the early era of the significs movement, contemporaneous with the origins of early analytic philosophy. Significs was a strong candidate for the science of language, meaning, and communication during the new century. Its heyday coincided with the forums of the Vienna Circle, yet its intellectual and cultural climate persisted until fading in the turmoil of the mid-century's analytic thought.
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  37.  31
    Clinical Equipoise and Moral Leeway: An Epistemological Stance.Daniele Chiffi & Ahti-Veikko Pietarinen - 2019 - Topoi 38 (2):447-456.
    Clinical equipoise has been proposed as an ethical principle relating uncertainty and moral leeway in clinical research. Although CE has traditionally been indicated as a necessary condition for a morally justified introduction of a new RCT, questions related to the interpretation of this principle remain woefully open. Recent proposals to rehabilitate CE have divided the bioethical community on its ethical merits. This paper presents a new argument that brings out the epistemological difficulties we encounter in justifying CE as a principle (...)
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  38.  44
    Risk and Values in Science: A Peircean View.Daniele Chiffi & Ahti-Veikko Pietarinen - 2019 - Axiomathes 29 (4):329-346.
    Scientific evidence and scientific values under risk and uncertainty are strictly connected from the point of view of Peirce’s pragmaticism. In addition, economy and statistics play a key role in both choosing and testing hypotheses. Hence we may show also the connection between the methodology of the economy of research and statistical frequentism, both originating from pragmaticism. The connection is drawn by the regulative principles of synechism, tychism and uberty. These principles are values that have both epistemic and non-epistemic dimension. (...)
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  39.  83
    Grice in the wake of Peirce.Ahti-Veikko Pietarinen - 2004 - Pragmatics and Cognition 12 (2):295-316.
    I argue that many of the pragmatic notions that are commonly attributed to 1-1. P. Grice, or are reported to be inspired by his work on pragmatics, such as assertion, conventional implicature, cooperation, common ground, common knowledge, presuppositions and conversational strategies, have their origins in C. S. Peirce's theory of signs and his pragmatic logic and philosophy. Both Grice and Peirce rooted their theories in normative rationality, anti-psychologism and the relevance of assertions. With respect to the post-Gricean era of pragmatics, (...)
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  40.  47
    Abstraction and Generalization in the Logic of Science: Cases from Nineteenth-Century Scientific Practice.Claudia Cristalli & Ahti-Veikko Pietarinen - 2021 - Hopos: The Journal of the International Society for the History of Philosophy of Science 11 (1):93-121.
    Abstraction and generalization are two processes of reasoning that have a special role in the construction of scientific theories and models. They have been important parts of the scientific method ever since the nineteenth century. A philosophical and historical analysis of scientific practices shows how abstraction and generalization found their way into the theory of the logic of science of the nineteenth-century philosopher Charles S. Peirce. Our case studies include the scientific practices of Francis Galton and John Herschel, who introduced (...)
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  41.  38
    Christine Ladd-Franklin's and Victoria Welby's correspondence with Charles Peirce.Ahti-Veikko Pietarinen - 2013 - Semiotica 2013 (196):139-161.
    Journal Name: Semiotica - Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique Volume: 2013 Issue: 196 Pages: 139-161.
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  42.  19
    Meaning and Affect in the Placebo Effect.Daniele Chiffi, Ahti-Veikko Pietarinen & Alessandro Grecucci - 2021 - Journal of Medicine and Philosophy 46 (3):313-329.
    This article presents and defends an integrated view of the placebo effect, termed “affective-meaning-making” model, which draws from theoretical reflection, clinical outcomes, and neurophysiological findings. We consider the theoretical limitations of those proposals associated with the “meaning view” on the placebo effect which leave the general aspects of meaning unspecified, fail to analyze fully the role of emotions and affect, and establish no clear connection between the theoretical, physiological, and psychological aspects of the effect. We point out that a promising (...)
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  43.  59
    Interdisciplinarity and Peirce's classification of the sciences: A centennial reassessment.Ahti-Veikko Pietarinen - 2006 - Perspectives on Science 14 (2):127-152.
    : This paper discusses the American scientist and philosopher Charles S. Peirce's (1839–1914) classification of the sciences from the contemporary perspective of interdisciplinary studies. Three theses are defended: (1) Studies on interdisciplinarity pertain to the intermediate class of Peirce's classification of all science, the sciences of review (retrospective science), ranking below the sciences of discovery (heuretic sciences) and above practical science (the arts). (2) Scientific research methods adopted by interdisciplinary inquiries are cross-categorial. Making them converge to an increasing extent with (...)
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  44.  21
    Grice in the wake of Peirce.Ahti-Veikko Pietarinen - 2004 - Pragmatics and Cognition 12 (2):295-315.
    I argue that many of the pragmatic notions that are commonly attributed to H. P. Grice, or are reported to be inspired by his work on pragmatics, such as assertion, conventional implicature, cooperation, common ground, common knowledge, presuppositions and conversational strategies, have their origins in C. S. Peirce's theory of signs and his pragmatic logic and philosophy. Both Grice and Peirce rooted their theories in normative rationality, anti-psychologism and the relevance of assertions. With respect to the post-Gricean era of pragmatics, (...)
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  45.  28
    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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  46.  23
    Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition.Ahti-Veikko Pietarinen & Mohammad Shafiei (eds.) - 2019 - Cham, Switzerland: Springer Verlag.
    This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works. Tackling a largely understudied comparison between these two contemporary philosophers, the authors highlight the significant similarities in some of their fundamental ideas. This volume consists of eleven chapters under four parts. The first part concerns methodologies and main principles of the two philosophers. An introductory chapter outlines (...)
  47.  27
    Propositional Logic of Imperfect Information: Foundations and Applications.Ahti-Veikko Pietarinen - 2001 - Notre Dame Journal of Formal Logic 42 (4):193-210.
    I will show that the semantic structure of a new imperfect-information propositional logic can be described in terms of extensive forms of semantic games. I will discuss some ensuing properties of these games such as imperfect recall, informational consistency, and team playing. Finally, I will suggest a couple of applications that arise in physics, and most notably in quantum theory and quantum logics.
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  48.  22
    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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  49.  18
    On the Logical Philosophy of Assertive Graphs.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Journal of Logic, Language and Information 29 (4):375-397.
    The logic of assertive graphs is a modification of Peirce’s logic of existential graphs, which is intuitionistic and which takes assertions as its explicit object of study. In this paper we extend AGs into a classical graphical logic of assertions whose internal logic is classical. The characteristic feature is that both AGs and ClAG retain deep-inference rules of transformation. Unlike classical EGs, both AGs and ClAG can do so without explicitly introducing polarities of areas in their language. We then compare (...)
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  50. Logic and coherence in the light of competitive games.Ahti-Veikko Pietarinen - 2000 - Logique Et Analyse 43:371-391.
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