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Studies in the Logic of Charles Sanders Peirce

Bloomington, IN, USA: Indiana University Press (1997)

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  1. Peirce's Truth-functional Analysis and the Origin of the Truth Table.Irving H. Anellis - 2012 - History and Philosophy of Logic 33 (1):87 - 97.
    We explore the technical details and historical evolution of Charles Peirce's articulation of a truth table in 1893, against the background of his investigation into the truth-functional analysis of propositions involving implication. In 1997, John Shosky discovered, on the verso of a page of the typed transcript of Bertrand Russell's 1912 lecture on ?The Philosophy of Logical Atomism? truth table matrices. The matrix for negation is Russell's, alongside of which is the matrix for material implication in the hand of Ludwig (...)
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  • C. S. Peirce and Intersemiotic Translation.Joao Queiroz & Daniella Aguiar - 2015 - In Peter Pericles Trifonas (ed.), International Handbook of Semiotics. Dordrecht: Springer. pp. 201-215.
    Intersemiotic translation (IT) was defined by Roman Jakobson (The Translation Studies Reader, Routledge, London, p. 114, 2000) as “transmutation of signs”—“an interpretation of verbal signs by means of signs of nonverbal sign systems.” Despite its theoretical relevance, and in spite of the frequency in which it is practiced, the phenomenon remains virtually unexplored in terms of conceptual modeling, especially from a semiotic perspective. Our approach is based on two premises: (i) IT is fundamentally a semiotic operation process (semiosis) and (ii) (...)
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  • Towards a multi-level approach to the emergence of meaning processes in living systems.João Queiroz & Charbel Niño El-Hani - 2006 - Acta Biotheoretica 54 (3):179-206.
    Any description of the emergence and evolution of different types of meaning processes (semiosis, sensu C.S.Peirce) in living systems must be supported by a theoretical framework which makes it possible to understand the nature and dynamics of such processes. Here we propose that the emergence of semiosis of different kinds can be understood as resulting from fundamental interactions in a triadically-organized hierarchical process. To grasp these interactions, we develop a model grounded on Stanley Salthe's hierarchical structuralism. This model can be (...)
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  • 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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  • Peirce’s Dragon-Head Logic.Minghui Ma & Ahti-Veikko Pietarinen - 2022 - Archive for History of Exact Sciences 76 (3):261-317.
    Peirce wrote in late 1901 a text on formal logic using a special Dragon-Head and Dragon-Tail notation in order to express the relation of logical consequence and its properties. These texts have not been referred to in the literature before. We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content. In the reconstructed text, Peirce is seen to outline both a general theory of deduction and a general theory of consequence (...)
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  • The hardness of the iconic must: can Peirce’s existential graphs assist modal epistemology.Catherine Legg - 2012 - Philosophia Mathematica 20 (1):1-24.
    Charles Peirce's diagrammatic logic — the Existential Graphs — is presented as a tool for illuminating how we know necessity, in answer to Benacerraf's famous challenge that most ‘semantics for mathematics’ do not ‘fit an acceptable epistemology’. It is suggested that necessary reasoning is in essence a recognition that a certain structure has the particular structure that it has. This means that, contra Hume and his contemporary heirs, necessity is observable. One just needs to pay attention, not merely to individual (...)
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  • Problems with Peirce's concept of abduction.Michael Hoffmann - 1999 - Foundations of Science 4 (3):271-305.
    Abductive reasoning takes place in forming``hypotheses'''' in order to explain ``facts.'''' Thus, theconcept of abduction promises an understanding ofcreativity in science and learning. It raises,however, also a lot of problems. Some of them will bediscussed in this paper. After analyzing thedifference between induction and abduction (1), Ishall discuss Peirce''s claim that there is a ``logic''''of abduction (2). The thesis is that this claim can beunderstood, if we make a clear distinction between inferential elements and perceptive elements of abductive reasoning. For (...)
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  • Anthropological Aspect of Charles Sanders Peirce’s Metaphysical Cosmology.Volodymyr Melnyk & Andrii Synytsia - 2021 - Философия И Космология 27:184-195.
    The article demonstrates how Charles Sanders Peirce built cosmological ideas based on the analysis of the specifics of a human being. It is proved that the possibility of a certain degree of anthropocentrism in Peirce’s cosmological conception was laid down in the categorical system, including the level of the Firstness, Secondness, and Thirdness. It is shown why according to his scientific metaphysics, for everyone, the concept that corresponds to human nature is more true than other ones, as well as why (...)
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