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  1.  66
    Automating Leibniz’s Theory of Concepts.Paul Edward Oppenheimer, Jesse Alama & Edward N. Zalta - 2015 - In Amy P. Felty & Aart Middeldorp (eds.), Automated Deduction – CADE 25: Proceedings of the 25th International Conference on Automated Deduction (Lecture Notes in Artificial Intelligence: Volume 9195), Berlin: Springer. Dordrecht: Springer. pp. 73-97.
    Our computational metaphysics group describes its use of automated reasoning tools to study Leibniz’s theory of concepts. We start with a reconstruction of Leibniz’s theory within the theory of abstract objects (henceforth ‘object theory’). Leibniz’s theory of concepts, under this reconstruction, has a non-modal algebra of concepts, a concept-containment theory of truth, and a modal metaphysics of complete individual concepts. We show how the object-theoretic reconstruction of these components of Leibniz’s theory can be represented for investigation by means of automated (...)
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  2.  13
    Axiomatizing Jaśkowski’s Discussive Logic $$\Mathbf {D_2}$$ D 2.Hitoshi Omori & Jesse Alama - 2018 - Studia Logica 106 (6):1163-1180.
    We outline the rather complicated history of attempts at axiomatizing Jaśkowski’s discussive logic $$\mathbf {D_2}$$ D2 and show that some clarity can be had by paying close attention to the language we work with. We then examine the problem of axiomatizing $$\mathbf {D_2}$$ D2 in languages involving discussive conjunctions. Specifically, we show that recent attempts by Ciuciura are mistaken. Finally, we present an axiomatization of $$\mathbf {D_2}$$ D2 in the language Jaśkowski suggested in his second paper on discussive logic, by (...)
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  3.  38
    A Curious Dialogical Logic and its Composition Problem.Sara L. Uckelman, Jesse Alama & Aleks Knoks - 2014 - Journal of Philosophical Logic 43 (6):1065-1100.
    Dialogue semantics for logic are two-player logic games between a Proponent who puts forward a logical formula φ as valid or true and an Opponent who disputes this. An advantage of the dialogical approach is that it is a uniform framework from which different logics can be obtained through only small variations of the basic rules. We introduce the composition problem for dialogue games as the problem of resolving, for a set S of rules for dialogue games, whether the set (...)
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  4.  16
    The Simplest Axiom System for Hyperbolic Geometry Revisited, Again.Jesse Alama - 2014 - Studia Logica 102 (3):609-615.
    Dependencies are identified in two recently proposed first-order axiom systems for plane hyperbolic geometry. Since the dependencies do not specifically concern hyperbolic geometry, our results yield two simpler axiom systems for absolute geometry.
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  5.  5
    Computing with Mathematical Arguments.Jesse Alama & Reinhard Kahle - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 9--22.
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