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20A Simple Semantics for Aristotelian Apodeictic SyllogisticsIn Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic, Csli Publications. pp. 454-469. 1998.
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17Modern views of medieval logic (edited book)Peeters. 2018.While for a long time the study of medieval logic focused on editorial projects and reconstructions of central medieval doctrines such as the theories of signification, supposition, consequences, and obligations, nowadays the spectrum of analysis has broadened and is increasingly informed by modern logical research, whose perspective is then applied to medieval logic. Promoting this tendency, logicians and researchers concerned with semantics in the Gesellschaft für Philosophie des Mittelalters…Read more
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7The Ontological ArgumentIn Michael Bruce & Steven Barbone (eds.), Just the Arguments, Wiley‐blackwell. 2011-09-16.
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110Complete Symposium on Jc Beall's Christ – A Contradiction: A Defense of Contradictory ChristologyJournal of Analytic Theology 7 (1): 400-577. 2019.The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ ot…Read more
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227John Eliot’s Logick Primer : A bilingual English-Massachusett logic textbookHistory and Philosophy of Logic 1-24. forthcoming.In 1672 John Eliot, English Puritan educator and missionary to New England, published _The Logick Primer: Some Logical Notions to initiate the INDIANS in the knowledge of the Rule of Reason; and to know how to make use thereof_. This roughly 80 page pamphlet introduces syllogistic vocabulary and reasoning so that syllogisms can be created from Biblical texts. The use of logic for proselytizing purposes is not distinctive: What is distinctive about Eliot's book is that it is bilingual, written i…Read more
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33What Problem Did Ladd-Franklin (Think She) Solve(d)?Notre Dame Journal of Formal Logic 62 (3): 527-552. 2021.Christine Ladd-Franklin is often hailed as a guiding star in the history of women in logic—not only did she study under C. S. Peirce and was one of the first women to receive a PhD from Johns Hopkins, she also, according to many modern commentators, solved a logical problem which had plagued the field of syllogisms since Aristotle. In this paper, we revisit this claim, posing and answering two distinct questions: Which logical problem did Ladd-Franklin solve in her thesis, and which problem did …Read more
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The art of doubting in obligationes parisiensesIn Christoph Kann, Benedikt Löewe, Christian Rode & Sara Liana Uckelman (eds.), Modern views of medieval logic, Peeters. 2018.
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Bathsua Makin and Anna Maria van Schurman: education and the metaphysics of being a womanIn Emily Thomas (ed.), Early Modern Women on Metaphysics, Cambridge University Press. 2018.
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12Börje Bydén and Christina Thomsen thörnqvist (eds.), The aristotelian tradition: Aristotle’s works on logic and metaphysics and their reception in the middle ages, (papers in medieval studies 28), toronto, pontifical institute of mediaeval studies, 2017Revista Española de Filosofía Medieval 26 (1): 155-158. 2019..
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388Fictional Modality and the Intensionality of Fictional ContextsAustralasian Journal of Logic 19 (4): 124-132. 2022.In, Kosterec attempts to provide ``model-theoretic proofs'' of certain theses involving the normal modal operators $\Diamond$ and $\square$ and the truth-in-fiction operator $F$ which he then goes on to show have counterexamples in Kripke models. He concludes from this that the embedding of modal logic under the truth-in-fiction operator is unsound. We show instead that it is the ``model-theoretic proofs'' that are themselves unsound, involving illicit substitution, a subtle error that neverthel…Read more
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358Lorhard, Ramus, and Timpler and “The birth of ontology”.Journal of Knowledge Structures and Systems 3 (2): 48-56. 2022.This review article offers a discussion of some aspects of the historical and conceptual context when the term “ontology” (Lat. ontologia) was first introduced in the scholarly circles of the early 17th century. In particular, Barry Smith's (2022) analysis of the birth of ontology provides a springboard for some further remarks on the author of the work with the first known occurrence of the word “ontologia”, Jacob Lorhard, including an analysis of his relationship with earlier philosophers Petr…Read more
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12Medieval Philosophy (review)Philosophical Quarterly 70 (281): 890-892. 2020.Review of Adamson Peter, Medieval Philosophy, History of Philosophy Without Any Gaps, volume 4, xxii+637pp. Reviewed by Sara L. Uckelman, Department of Philosophy, Durham University
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66Against the Theistic MultiverseKriterion - Journal of Philosophy 34 (4): 1-14. 2020.We argue that Kraay's "theistic multiverse" response to the objections to theism [Kraay 2011] is unsuccessful as it simply shifts the problems leveled against theism from the level of possible worlds to the level of possible universes. Furthermore, when we restate the objections at the level of possible universes, we can show how Kraay's conclusion about the uniqueness of the theistic multiverse is undermined.
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13John Buridan’s Sophismata and Interval Temporal SemanticsHistory 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
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15Castagnoli, Luca. 2010. Ancient Self-Refutation: The Logic and History of the Self-Refutation Argument from Democritus to Augustine. Cambridge: Cambridge University Press (394 pages, ISBN 978-0-521-89631-3 (hardback)) (review)History of Philosophy & Logical Analysis 16 (1): 398-402. 2013.
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16A Simple Semantics for Aristotelian Apodeictic SyllogisticsIn Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic, Csli Publications. pp. 454-469. 1998.
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15Three 13th-century views of quantified modal logicIn Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic, Csli Publications. pp. 389-406. 1998.
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35Contradictions, Impossibility, and Triviality: A Response to Jc BeallJournal of Analytic Theology 7 (1): 544-559. 2019.ㅤ
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10Reasoning About Obligations in Obligationes: A Formal ApproachIn Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10, Csli Publications. pp. 533-568. 2014.
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17The Logic of Where and While in the 13th and 14th CenturiesIn Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11, Csli Publications. pp. 535-550. 2016.Medieval analyses of molecular propositions include many non-truthfunctional connectives in addition to the standard modern binary connectives (conjunction, disjunction, and conditional). Two types of non-truthfunctional molecular propositions considered by a number of 13th- and 14th-century authors are temporal and local propositions, which combine atomic propositions with `while' and `where'. Despite modern interest in the historical roots of temporal and tense logic, medieval analyses of `wh…Read more
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28John Buridan's Sophismata and interval temporal semanticsHistory 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
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34A simple semantics for Aristotelian apodeictic syllogisticsAdvances 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.
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48Sit Verum Obligationes and Counterfactual ReasoningVivarium 53 (1): 90-113. 2015.In the early 1980s, Paul V. Spade advanced the thesis that obligational reasoning was counterfactual reasoning, based upon his interpretation of the obligationes of Walter Burley, Richard Kilvington, and Roger Swyneshed. Eleonore Stump in a series of contemporary papers argued against Spade’s thesis with respect to Burley and Swyneshed, provisionally admitting it for Kilvington with the caveat that Kilvington’s theory is by no means clear or non-idiosyncratic. In this paper, we revisit the conne…Read more
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42Deceit and indefeasible knowledge: the case of dubitatioJournal of Applied Non-Classical Logics 21 (3-4): 503-519. 2011.The current trend in knowledge revision in the Dynamic Epistemic Logic tradition focuses on the addition of new knowledge, rather than the possibility of losing knowledge. Yet there are natural situations, such as an agent who does not want another agent to know that she knows a certain piece of information, where there is a need to be able to model the retraction of a proposition from a knowledge base. One situation where this is systematically required is the variant of the medieval theory of …Read more
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113Medieval Disputationes de obligationibus as Formal Dialogue SystemsArgumentation 27 (2): 143-166. 2013.Formal dialogue systems model rule-based interaction between agents and as such have multiple applications in multi-agent systems and AI more generally. Their conceptual roots are in formal theories of natural argumentation, of which Hamblin’s formal systems of argumentation in Hamblin (Fallacies. Methuen, London, 1970, Theoria 37:130–135, 1971) are some of the earliest examples. Hamblin cites the medieval theory of obligationes as inspiration for his development of formal argumentation. In an o…Read more
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67A Quantified Temporal Logic for Ampliation and RestrictionVivarium 51 (1-4): 485-510. 2013.Temporal logic as a modern discipline is separate from classical logic; it is seen as an addition or expansion of the more basic propositional and predicate logics. This approach is in contrast with logic in the Middle Ages, which was primarily intended as a tool for the analysis of natural language. Because all natural language sentences have tensed verbs, medieval logic is inherently a temporal logic. This fact is most clearly exemplified in medieval theories of supposition. As a case study, w…Read more
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96The logic of categorematic and syncategorematic infinitySynthese 192 (8): 2361-2377. 2015.The medieval distinction between categorematic and syncategorematic words is usually given as the distinction between words which have signification or meaning in isolation from other words and those which have signification only when combined with other words . Some words, however, are classified as both categorematic and syncategorematic. One such word is Latin infinita ‘infinite’. Because infinita can be either categorematic or syncategorematic, it is possible to form sophisms using infinita …Read more
University of Amsterdam
PhD, 2009
Areas of Specialization
Logic and Philosophy of Logic |
Medieval and Renaissance Philosophy |