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Communication dans un congrès Année : 2022

Dialogical syllogistic

Résumé

My PhD dissertation “Aristotle, science and the dialectician’s activity. A dialogical approach to Aristotle’s logic” defends the thesis that Aristotle’s logic is best understood from a dialogical perspective. I will here be presenting the formal part of my dissertation in which I provide a full formal reconstruction of Aristotle’s assertoric syllogistic using the modern, formal framework of “dialogical logic” (first developed by Paul Lorenzen and Kuno Lorenz). I thus present a pragmatic, interaction-based reconstruction of all of Aristotle’s assertoric syllogistic, encompassing the three figures of the syllogism, ecthesis, direct and indirect deductions, reductions to the first figure, as well as the inconclusive moods. All of Aristotle’s syllogistic is thus reconstructed using “dialogical logic”. The dialogical framework explicits the dialogical context of the practice of dialectical debates which underlies Aristotle’s logic as a whole and which has been stressed by modern scholars such as Michel Crubellier. What is more, in order to achieve the formal reconstruction, I use the variant of the dialogical framework called “Immanent Reasoning” (Rahman, McConaughey, Clerbout, Klev 2018) which incorporates notation from Per Martin-Löf’s Type Theory. All of syllogistic can thus be built out of Aristotle’s meaning explanation of quantification spelled out in the “dictum de omni” (APr. I 1), a bridge between the syllogistic of the Prior Analytics and the dialectic of the Topics (Marion & Rückert 2016). Aristotelian scholarship and modern logical tools are thus combined to express all of Aristotle’s assertoric syllogistic in a dialogical framework. References: • Lorenzen, Paul and Kuno Lorenz, 1978, Dialogische Logik, Darmstadt: Wissenschaftliche Buchgesellschaft. • Crubellier, Michel, 2011, “Du Sullogismos au syllogisme”, Revue philosophique de la France et de l'étranger, 136(1): 17–36 • Marion, Mathieu and Helge Rückert, 2016, “Aristotle on Universal Quantification: A Study from the Point of View of Game Semantics”, History and Philosophy of Logic, 37(3): 201–229. doi:10.1080/01445340.2015.1089043 • Martin-Löf, Per, 1984, Intuitionistic Type Theory. Notes by Giovanni Sambin of a Series of Lectures given in Padua, June 1980, Naples: Bibliopolis. • Rahman, Shahid, Zoe McConaughey, Ansten Klev, and Nicolas Clerbout, 2018, Immanent Reasoning or Equality in Action: A Plaidoyer for the Play Level, (Logic, Argumentation & Reasoning 18), Cham: Springer International Publishing. doi:10.1007/978-3-319-91149-6
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halshs-04390748, version 1 (12-01-2024)

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  • HAL Id : halshs-04390748 , version 1

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Zoe Mcconaughey. Dialogical syllogistic. PhD Colloquium, DVMLG, Sep 2022, Konstanz Universität, Germany. ⟨halshs-04390748⟩
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Dernière date de mise à jour le 28/04/2024
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