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  1.  28
    Leon Chwistek, The Principles of the Pure Type Theory , translated by Adam Trybus with an Introductory Note by Bernard Linsky.Adam Trybus - 2012 - History and Philosophy of Logic 33 (4):329-352.
    ‘The Principles of the Pure Type Theory’ is a translation of Leon Chwistek's 1922 paper ‘Zasady czystej teorii typów’. It summarizes Chwistek's results from a series of studies of the logic of Whitehead and Russell's Principia Mathematica which were published between 1912 and 1924. Chwistek's main argument involves a criticism of the axiom of reducibility. Moreover, ‘The Principles of the Pure Type Theory’ is a source for Chwistek's views on an issue in Whitehead and Russell's ‘no-class theory of classes’ involving (...)
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  2.  17
    On Jan Łukasiewicz's ‘The Principle of Contradiction and Symbolic Logic’.Adam Trybus & Bernard Linsky - 2020 - History and Philosophy of Logic 41 (2):183-190.
    This is a companion article to the translation of ‘Zasada sprzeczności a logika symboliczna’, the appendix on symbolic logic of Jan Łukasiewicz's 1910 book O zasadzie sprzeczności u Arytotelesa (On the Principle of Contradiction in Aristotle). While the appendix closely follows Couturat's 1905 book L'algebra de la logique (The Algebra of Logic), footnotes show that Łukasiewicz was aware of the work of Peirce, Huntington and Russell (before Principia Mathematica). This appendix was influential in the development of the Polish school of (...)
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  3.  7
    A Generalisation of a Refutation-related Method in Paraconsistent Logics.Adam Trybus - forthcoming - Logic and Logical Philosophy.
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  4. “The Tragedy of Verbal Metaphysics” by Leon Chwistek.Adam Trybus & Bernard Linsky - 2017 - Journal for the History of Analytical Philosophy 5 (1).
    This is the first English translation of Leon Chwistek’s “Tragedia werbalnej metafizyki,” Kwartalnik Filozoficzny, Vol. X, 1932, 46–76. Chwistek offers a scathing critique of Roman Ingarden’s Das literarische Kunstwerk and of the entire Phenomenology movement. The text also contains many hints at Chwistek’s own philosophical and formal ideas. The book that Chwistek reviews attracted wide attention and was instrumental in winning Ingarden a position as Professor of Philosophy at the University of Lwów in 1933. Chwistek’s alienation from his fellow logicians (...)
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  5.  60
    Two Poles Worlds Apart.Adam Trybus & Bernard Linsky - 2022 - Journal for the History of Analytical Philosophy 10 (5).
    The article describes the background of Roman Ingarden's 1922 review of Leon Chwistek's book Wielość rzeczywistości, and the back-and-forth that followed. Despite the differences, the two shared some interesting similarities. Both authors had important ties to the intellectual happenings outside Poland and were not considerd mainstream at home. In the end, however, it is these connections that allowed them to gain recognition. Ingarden, who had been a student of Husserl, became the leading phenomenologist in the postwar Poland. For Chwistek, a (...)
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  6.  10
    N-valued maximal paraconsistent matrices.Adam Trybus - 2019 - Journal of Applied Non-Classical Logics 29 (2):171-183.
    ABSTRACTThe articles Maximality and Refutability Skura [. Maximality and refutability. Notre Dame Journal of Formal Logic, 45, 65–72] and Three-valued Maximal Paraconsistent Logics Skura and Tuziak [. Three-valued maximal paraconsistent logics. In Logika. Wydawnictwo Uniwersytetu Wrocławskiego] introduced a simple method of proving maximality of a given paraconsistent matrix. This method stemmed from the so-called refutation calculus, where the focus in on rejecting rather than accepting formulas. The article A Generalisation of a Refutation-related Method in Paraconsistent Logics Trybus [. A generalisation (...)
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  7.  7
    Three-Dimensional Affine Spatial Logics.Adam Trybus - 2022 - Logica Universalis 16 (4):603-620.
    We focus on a branch of region-based spatial logics dealing with affine geometry. The research on this topic is scarce: only a handful of papers investigate such systems, mostly in the case of the real plane. Our long-term goal is to analyse certain family of affine logics with inclusion and convexity as primitives interpreted over real spaces of increasing dimensionality. In this article we show that logics of different dimensionalities must have different theories, thus justifying further work on different dimensions. (...)
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  8.  1
    Two of a Kind: Setting the Record Straight on Russell’s Exchange with Ladd-Franklin on Solipsism.Adam Trybus - 2020 - Russell: The Journal of Bertrand Russell Studies 39:101-20.
    On 21 August 1912 Christine Ladd-Franklin, by then an established logician, wrote a letter to Bertrand Russell. He replied on 27 September 1912, followed by another letter on 16 November of that year. After a hiatus on his side in 1913–14, they exchanged letters again in 1915. The main topic of their conversations is solipsism: a theme that was important for Russell throughout his writings. In fact, in some of his works he famously mentions his encounters with Ladd-Franklin, hinting at (...)
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  9.  32
    The Principle of Contradiction and Symbolic Logic.Jan Łukasiewicz, Adam Trybus & Bernard Linsky - 2020 - History and Philosophy of Logic 41 (2):154-182.
    This is the first English translation directly based on the original Polish ‘Zasada sprzeczności a logika symboliczna’, the appendix on symbolic logic of Jan Łukasiewicz's 1910 book O zasadzie sprzeczności u Arytotelesa (On the Principle of Contradiction in Aristotle).
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