•  56
    Ockham and Buridan on the Ampliation of Modal Propositions
    British Journal for the History of Philosophy 23 (2): 234-255. 2015.
    This paper explores a currently unnoticed argument used by John Buridan to defend his analysis of modal propositions and to reject the analysis of modal propositions of necessity put forward by William of Ockham. First, I explore this argument and, by considering possible responses of Ockham to Buridan, show some of the ways in which Ockham seems to be keeping closer to Aristotle's remarks about modal propositions in Prior Analytics, 18
  •  54
    A Formal Reconstruction of Buridan's Modal Syllogism
    History and Philosophy of Logic 36 (1): 2-17. 2015.
    In this paper, we provide a historical exposition of John Buridan's theory of divided modal propositions. We then develop a semantic interpretation of Buridan's theory which pays particular attention to Buridan's ampliation of modal terms. We show that these semantics correctly capture his syllogistic reasoning
  •  39
    The Modal Octagon and John Buridan's Modal Ontology
    In Jean-Yves Béziau & Gianfranco Basti (eds.), The Square of Opposition: A Cornerstone of Thought, Birkhäuser. pp. 35-52. 2016.
    In this paper we will argue that the ontology implicit in John Buridan’s modal octagon commits him to a form of contingentism. In particular, we will argue that Buridan is committed to denying the validity of the Barcan and converse Barcan formulae.
  •  29
    Connexive Principles After a ‘Classical’ Turn in Medieval Logic
    History and Philosophy of Logic 43 (3): 251-263. 2021.
    The aim of this paper is to look at the arguments advanced by three Parisian arts masters about how to understand Prior Analytics II 4 and the more general discussion that medieval authors situate...
  •  28
    A simple semantics for Aristotelian apodeictic syllogistics
    Advances in Modal Logic 8 454-469. 2010.
    We give a simple definition of validity for syllogisms involving necessary and assertoric premises which validates all and only the Aristotelian apodeictic syllogisms.
  •  25
    Robert Kilwardby occupies an important place in the history of logic, and the history of western thought more generally. Perhaps best known to scholars for his Oxford condemnations of 1277...
  •  21
    John Buridan's Sophismata and interval temporal semantics
    History of Philosophy & Logical Analysis 13 133-147. 2010.
    In this paper we look at the suitability of modern interval-based temporal logic for modeling John Buridan’s treatment of tensed sentences in his Sophismata. Building on the paper [Øhrstrøm 1984], we develop Buridan’s analysis of temporal logic, paying particular attention to his notions of negation and the absolute/relative nature of the future and the past. We introduce a number of standard modern propositional interval temporal logics to illustrate where Buridan’s interval-based temporal anal…Read more
  •  16
    A Simple Semantics for Aristotelian Apodeictic Syllogistics
    In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic, Csli Publications. pp. 454-469. 1998.
  •  11
    A Simple Semantics for Aristotelian Apodeictic Syllogistics
    In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic, Csli Publications. pp. 454-469. 1998.
  •  9
    The Knowledge of Contradictions
    Thought: A Journal of Philosophy 11 (3): 157-164. 2022.
    If there are true contradictions, where are they? In language or in the world? According to one important view, best represented by Jc Beall (2009), only the former. In this paper, we raise a problem for this view. In order to defend a “merely semantic” version of dialetheism (aka ‘glut theory’), Beall adopts transparent accounts of truth and falsity, which gives rise to “dialethic ascent” on which true contradictions are also, contradictorily, untrue contradictions. This is a consequence of try…Read more
  •  9
    In the last 30 years there has been growing interest in and a greater appreciation of the unique contributions that medieval authors have made to the history of logic. In this thesis, we compare and contrast the modal logics of Robert Kilwardby and John Buridan and explore how their two conceptions of modality relate to and differ from modern notions of modal logic. We develop formal reconstructions of both authors' logics, making use of a number of different formal techniques. In the case of Ro…Read more
  •  7
    John Buridan’s Sophismata and Interval Temporal Semantics
    History of Philosophy & Logical Analysis 13 (1): 131-147. 2010.
    In this paper we look at the suitability of modern interval-based temporal logic for modeling John Buridan’s treatment of tensed sentences in his Sophismata. Building on the paper, we develop Buridan’s analysis of temporal logic, paying particular attention to his notions of negation and the absolute/relative nature of the future and the past.We introduce a number of standard modern propositional interval temporal logics to illustrate where Buridan’s interval-based temporal analysis differs from…Read more