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Philosophy of Mathematics: Selected Writings

Indiana University Press (2010)

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  1. Inquiries into Cognition: Wittgenstein’s Language-Games and Peirce’s Semeiosis for the Philosophy of Cognition.Andrey Pukhaev - 2013 - Dissertation, Gregorian University
    SUMMARY Major theories of philosophical psychology and philosophy of mind are examined on the basis of the fundamental questions of ontology, metaphysics, epistemology, semantics and logic. The result is the choice between language of eliminative reductionism and dualism, neither of which answers properly the relation between mind and body. In the search for a non–dualistic and non–reductive language, Wittgenstein’s notion of language–games as the representative links between language and the world is considered together with Peirce’s semeiosis of cognition. The result (...)
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  • Methodeutic and the order of inquiry.Mats Bergman - 2018 - Semiotica 2018 (220):269-299.
    Name der Zeitschrift: Semiotica Jahrgang: 2018 Heft: 220 Seiten: 269-299.
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  • Peirce and Rationalism: Is Peirce a Fully Semiotic Philosopher?Andrew Stables - 2014 - Journal of Philosophy of Education 48 (4):591-603.
    While Peirce is a seminal figure for contemporary semiotic philosophers, it is axiomatic of a fully semiotic perspective that no philosopher or philosophy can provide any final answer, as signs are always interpreted and the context of interpretation always varies. Semiosis is evolutionary: it may or may not be construed as progressive but it cannot be static. While Peirce offers a way out of the mind-body divide that both permeates and separates classical rationalism and empiricism, he himself is read in (...)
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  • Peirce’s Dragon-Head Logic (R 501, 1901).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 We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content.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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