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  1. Three Medieval Aristotelians on Numerical Identity and Time.John Morrison - forthcoming - In Oxford Studies in Medieval Philosophy.
    Aquinas, Ockham, and Burdan all claim that a person can be numerically identical over time, despite changes in size, shape, and color. How can we reconcile this with the Indiscernibility of Identicals, the principle that numerical identity implies indiscernibility across time? Almost all contemporary metaphysicians regard the Indiscernibility of Identicals as axiomatic. But I will argue that Aquinas, Ockham, and Burdan would reject it, perhaps in favor of a principle restricted to indiscernibility at a time.
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  2. Guglielmo di Ockham e la filosofia come insegnamento del vero.Fabrizio Amerini - 2023 - Noctua 10 (1):1-45.
    Truth is a key notion in Ockham’s philosophical reductionist program, a notion that has been the object of contrasting interpretations in scholarship. My interpretation is that, for Ockham, ‘being true’ expresses an epistemological relation, namely the one through which our mind reflects on a proposition of language, compares it with an extra-mental state of affairs, and thus ascertains their correspondence. Placing truth at a point of intersection of language with mind and reality, Ockham’s interpretation of Aristotle’s characterization of philosophy as (...)
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  3. Ockham on Memory and the Metaphysics of Human Persons.Susan Brower Toland - 2023 - Philosophical Quarterly (2):453-473.
    This paper explores William Ockham's account of memory with a view to understanding its implications for his account of the nature and persistence of human beings. I show that Ockham holds a view according to which memory (i) is a type of self-knowledge and (ii) entails the existence of an enduring psychological subject. This is significant when taken in conjunction with his account of the afterlife. For, Ockham holds that during the interim state—namely, after bodily death, but prior to bodily (...)
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  4. "Deflecting Ockham's Razor: A Medieval Debate on Ontological Commitment".Susan Brower-Toland - 2023 - Mind 132 (527):659-679.
    William of Ockham (d. 1347) is well known for his commitment to parsimony and for his so-called ‘razor’ principle. But little is known about attempts among his own contemporaries to deflect his use of the razor. In this paper, I explore one such attempt. In particular, I consider a clever challenge that Ockham’s younger contemporary, Walter Chatton (d. 1343) deploys against the razor. The challenge involves a kind of dilemma for Ockham. Depending on how Ockham responds to this dilemma, his (...)
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  5. Navaja de Ockham y la hipótesis de los multiversos (2nd edition).Ilan Jimenez - 2023 - Acta Academica 73 (Noviembre, 2023):319-344.
    Uno de los principales criterios que utiliza el método científico para establecer la pertinencia de una explicación o hipótesis competidora con respecto a un evento en la realidad física, es el principio de simplicidad o parsimonia científica. Este suele implicar la prescindencia de entidades o hipótesis consideradas innecesarias para la explicación de un fenómeno. Las raíces de este principio se suelen trazar hasta el filósofo nominalista medieval Guillermo de Ockham. En el presente trabajo, se pretende determinar el posible impacto de (...)
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  6. A Navalha de Ockham: um Princípio Lógico de Parcimônia.William Saraiva Borges - 2022 - Scintilla 19 (1):129-142.
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  7. Zabarella on Prime Matter and Extension.Berman Chan - 2022 - Philosophia 50 (5):2405-2422.
    The 16th and 17th centuries witnessed a philosophical shift that would help pave the way for modern science, a shift from metaphysical theories of material objects to other views embracing only the empirically-accessible parts of material things. One much-debated topic in the course of this shift was regarding prime matter. The late scholastic Jacobus Zabarella (1533-1589) arrived upon his views about prime matter via his version of the regressus method, a program for a sort of scientific reasoning. In his De (...)
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  8. Knowledge of Future Contingents.Andrea Iacona - 2022 - Philosophical Studies 179 (2):447-467.
    This paper addresses the question whether future contingents are knowable, that is, whether one can know that things will go a certain way even though it is possible that things will not go that way. First I will consider a long-established view that implies a negative answer, and draw attention to some endemic problems that affect its credibility. Then I will sketch an alternative line of thought that prompts a positive answer: future contingents are knowable, although our epistemic access of (...)
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  9. The Metaphysics of Ockhamism.Andrea Iacona - 2022 - In Alessio Santelli (ed.), Ockhamism and Philosophy of Time: Semantic and Metaphysical Issues concerning Future Contingents. Springer.
    This paper investigates Ockhamism from a metaphysical point of view. Its main point is that the claim that future contingents are true or false is less demanding than usually expected, as it does not require particularly contentious assumptions about the future. First it will be argued that Ockhamism is consistent with a wide range of metaphysical views. Then it will be shown that each of these views leaves room for the claim that the future is open, at least on some (...)
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  10. Clear and Distinct Perception in the Stoics, Augustine, and William of Ockham.Tamer Nawar - 2022 - Aristotelian Society Supplementary Volume 96 (1):185-207.
    There is a long history of philosophers granting a privileged epistemic status to cognition of directly present objects. In this paper, I examine three important historic accounts which provide different models of this cognitive state and its connection with its objects: that of the Stoics, who are corporealists and think that ordinary perception may have an epistemically privileged status, but who seem to struggle to accommodate non-perceptual cognizance; that of Augustine, who thinks that incorporeal objects are directly present to us (...)
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  11. The Evilization of the Term “Fulani” in Present Day Nigeria: A Reflection on the Notion of Signification in William of Ockham’s Logic.Justin Nnaemeka Onyeukaziri - 2022 - LASU JOURNAL OF PHILOSOPHY 4 (1):1-24.
    This paper attempts to demonstrate that the logical problematic of signification, has a very dangerous socio-political effect due to the ontological implication that is connected to the signification of terms in logic. It expounds the notion of signification in Formal Logic as exposed by William of Ockham. It thus, employs this notion of signification of terms, to discuss the term “Fulani”, to show the danger potent in distorting the signification of the term “Fulani” as in every conventional and connotative terms. (...)
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  12. Can Pascal’s Wager Save Morality from Ockham’s Razor?Tobias Beardsley - 2021 - Philosophia 50 (2):405-424.
    One version of moral error theory maintains that the central problem with morality is an ontological commitment to irreducible normativity. This paper argues that this version of error theory ultimately depends on an appeal to Ockham’s Razor, and that Ockham’s Razor should not be applied to irreducible normativity. This is because the appeal to Ockham’s Razor always contains an intractable element of epistemic circularity; and if this circularity is not vicious, we can construct a sound argument for the existence of (...)
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  13. La liberté de la volonté dans la vision béatifique. Suárez critique d'Ockham.Valentin Braekman - 2021 - Lo Sguardo. Rivista di Filosofia 33 (2):227-245.
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  14. Eternity and Print How Medieval Ideas of Time Influenced the Development of Mechanical Reproduction of Texts and Images.Bennett Gilbert - 2020 - Contributions to the History of Concepts 15 (1):1-21.
    The methods of intellectual history have not yet been applied to studying the invention of technology for printing texts and images ca. 1375–ca. 1450. One of the several conceptual developments in this period refl ecting the possibility of mechanical replication is a view of the relationship of eternity to durational time based on Gregory of Nyssa’s philosophy of time and William of Ockham’s. Th e article considers how changes in these ideas helped enable the conceptual possibilities of the dissemination of (...)
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  15. Guglielmo di Ockham, l’onnipotenza divina e l’intuizione del non-esistente.Fabrizio Amerini - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), _Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale_. Raccolti da Fabrizio Amerini, Simone Fellina e Andrea Strazzoni. Parma: E-theca OnLineOpenAccess Edizioni. pp. 812-877.
    In this essay, we reconsider two themes particularly discussed by the interpreters of Ockham: that of divine omnipotence and the hypothesis of the intuitive cognition of non-existent things. The purpose is to show that the hypothetical case considered by Ockham was subjected to opposite interpretations. For theological reasons, Ockham attributes not only to God but also to human beings the possibility of having acts of intuitive cognition of things that do not exist; nonetheless, he holds that it is contradictory for (...)
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  16. Ockham et la possibilité de vouloir le mal 'sub ratione mali'.Valentin Sylvain Cyril Braekman - 2019 - In Fulvia De Luise & Irene Zavattero (eds.), La volontarietà dell'azione tra Antichità e Medioevo. Trento: Università degli studi di Trento, Dipartimento di lettere e filosofia. pp. 569-597.
    This article investigates the relation between the will and evil in Ockham’s thought. The main purpose is to show to what extent the deliberate and conscious will of evil (velle malum sub ratione mali) is possible according to Ockham’s psychological and metaethical assumptions.
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  17. Nicola Cusano da Colonia a Roma (1425-1450). Università, politica e umanesimo nel giovane Cusano.Andrea Fiamma - 2019 - Münster, Germania: Aschendorff Verlag.
    Il volume ripercorre lo sviluppo del pensiero del giovane Nicola Cusano dalla frequentazione del maestro albertista Eimerico da Campo presso l’Università di Colonia (1425) e dal confronto con le posizioni filosofiche dei domenicani dello Studium coloniense, fino agli anni della maturità a Roma (1450). Il saggio illustra il contesto storico-culturale della genesi del De docta ignorantia, testo che suggella la presa di distanza di Cusano dal proprio passato universitario ma anche, al contempo, la sua insoddisfazione nei confronti dell’umanesimo diffuso in (...)
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  18. Nominalisme et démonologie. L’imputabilité des croyances et le problème de l’hétérodoxie chez Guillaume de Manderston.Christophe Grellard - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), _Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale_. Raccolti da Fabrizio Amerini, Simone Fellina e Andrea Strazzoni. Parma: E-theca OnLineOpenAccess Edizioni. pp. 776-811.
    In his Bipartitum in morali philosophia, the Scottish philosopher William of Manderston, a pupil of John Mair, and an Ockhamist philosopher, is quoting a text of Antonin of Padua who distinguishes the factum opened to a juridical qualification from the inner belief, known by God alone. Quoting the same text, the authors of the Malleus maleficarum try hard to distinguish three distinct fields, the inner beliefs which belongs to God, the exterior acts, the facts, which are relevant for the judges, (...)
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  19. Ockham on Divine Concurrence.Zita Toth - 2019 - Saint Anselm Journal 15:81-105.
    The focus of this paper is Ockham's stance on the question of divine concurrence---the question whether God is causally active in the causal happenings of the created world, and if so, what God's causal activity amounts to and what place that leaves for created causes. After discussing some preliminaries, I turn to presenting what I take to be Ockham's account. As I show, Ockham, at least in this issue, is rather conservative: he agrees with the majority of medieval thinkers (including (...)
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  20. Le radici logiche e metafisiche della filosofia naturale parigina: volontà e ordine della natura nel pensiero di Buridano.Fabio Zanin - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), _Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale_. Raccolti da Fabrizio Amerini, Simone Fellina e Andrea Strazzoni. Parma: E-theca OnLineOpenAccess Edizioni. pp. 395-432.
    Till just few decades ago, scholars used to use the label ‘Ockhamism’ to mark a turning-point in the history of mediaeval philosophy, above all in the history of natural philosophy. That turning-point was exemplified by the once so-called ‘Buridanian school’, today known simply as ‘Parisian school of natural philosophy’, whose leading representative was for sure John Buridan. But looking carefully at some crucial points of the Picard master’s idea of ‘nature’, concerning specifically the relationship between God and secondary causes on (...)
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  21. From Thomas Aquinas to the 1350s.Eric W. Hagedorn - 2018 - In Thomas Williams (ed.), The Cambridge Companion to Medieval Ethics. New York: Cambridge University Press. pp. 55-76.
    An overview of debates in ethical theory within Christian Scholasticism in the decades after Thomas Aquinas.
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  22. Causation and Mental Content: Against the Externalist Interpretation of Ockham.Susan Brower-Toland - 2017 - In Magali Elise Roques & Jenny Pelletier (eds.), The Language of Thought in Late Medieval Philosophy. Essays in Honour of Claude Panaccio.
    On the dominant interpretation, Ockham is an externalist about mental content. This reading is founded principally on his theory of intuitive cognition. Intuitive cognition plays a foundational role in Ockham’s account of concept formation and judgment, and Ockham insists that the content of intuitive states is determined by the causal relations such states bear to their objects. The aim of this paper is to challenge the externalist interpretation by situating Ockham’s account of intuitive cognition vis-à-vis his broader account of efficient (...)
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  23. Zelfpredicatie: Middeleeuwse en hedendaagse perspectieven.Jan Heylen & Can Laurens Löwe - 2017 - Tijdschrift Voor Filosofie 79 (2):239-258.
    The focus of the article is the self-predication principle, according to which the/a such-and-such is such-and-such. We consider contemporary approaches (Frege, Russell, Meinong) to the self-predication principle, as well as fourteenth-century approaches (Burley, Ockham, Buridan). In crucial ways, the Ockham-Buridan view prefigures Russell’s view, and Burley’s view shows a striking resemblance to Meinong’s view. In short the Russell-Ockham-Buridan view holds: no existence, no truth. The Burley-Meinong view holds, in short: intelligibility suffices for truth. Both views approach self-predication in a uniform (...)
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  24. Aquinas on the Problem of Universals.Jeffrey E. Brower - 2016 - Philosophy and Phenomenological Research 92 (2):715-735.
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  25. Metter le brache al mondo. Compatibilismo, conoscenza e libertà.Roberto Limonta & Riccardo Fedriga - 2016 - Milano: Jaca Book. Edited by Roberto Limonta.
    È possibile ammettere, pensare e addirittura verificare che una cosa che sia accaduta nel passato possa non essere più accaduta in un momento presente? Ad esempio, si può, oggi, fare in modo che Roma non sia mai stata fondata? Come è possibile mutare la regolare causalità degli accadimenti di quel passato – il nostro e quello degli uomini che ci hanno preceduti – che sembra essere fondato sui vincoli di una strettissima necessità? E che dire quando questo sconvolgimento dell’ordine del (...)
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  26. Soberania popular na crise do século XIV e o surgimento do conceito forte de soberania: Marsílio de Pádua, Guilherme de Ockham e Jean Bodin.Saulo de Matos - 2016 - RiHumSo Revista de Investigación Del Departamento de Humanidades y Ciencias Sociales 1 (10):94-119.
    This article analyzes the significance of the concepts “sovereignty” and “popular sovereignty” regarding the construction of modern law. Modern law isdefined in this study as a language of subjective rights (claim, liberty, power and immunity) and therefore has a nomological and authoritative character. The shift from low Middle-age to the beginning of Modernity seems to be the decisive period to understand the construction of modern law, due to the reception of Aristotle’s political writings and Roman law, aside from the rejection (...)
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  27. How Chatton Changed Ockham’s Mind.Susan Brower-Toland - 2015 - In Gyula Klima (ed.), Intentionality, Cognition, and Mental Representation in Medieval Philosophy. New York: Fordham University Press. pp. 204-234.
    It is well-known that Chatton is among the earliest and most vehement critics of Ockham’s theory of judgment, but scholars have overlooked the role Chatton’s criticisms play in shaping Ockham’s final account. In this paper, I demonstrate that Ockham’s most mature treatment of judgment not only contains revisions that resolve the problems Chatton identifies in his earlier theories, but also that these revisions ultimately bring his final account of the objects of judgment surprisingly close to Chatton’s own. Even so, I (...)
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  28. Ockham's Scientia Argument for Mental Language.Eric W. Hagedorn - 2015 - Oxford Studies in Medieval Philosophy 3:145-168.
    William Ockham held that, in addition to written and spoken language, there exists a mental language, a structured representational system common to all thinking beings. Here I present and evaluate an argument found in several places across Ockham's corpus, wherein he argues that positing a mental language is necessary for the nominalist to meet certain ontological constraints imposed by Aristotle’s account of scientific demonstration.
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  29. The Early Reception of Peter Auriol at Oxford.Rondo Keele - 2015 - Recherches de Theologie Et Philosophie Medievales 82:301-361.
    The important impact of the French Franciscan Peter Auriol (ca. 1280-1322) upon contemporary philosophical theology at Oxford is well known and has been well documented and analyzed, at least for a narrow range of issues, particularly in epistemology. This article attempts a more systematic treatment of his effects upon Oxford debates across a broader range of subjects and over a more expansive duration of time than has been done previously. Topics discussed include grace and merit, future contingents and divine foreknowledge, (...)
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  30. William Ockham on the Scope and Limits of Consciousness.Susan Brower-Toland - 2014 - Vivarium 52 (3-4):197-219.
    Ockham holds what nowadays would be characterized as a “higher-order perception” theory of consciousness. Among the most common objections to such a theory is the charge that it gives rise to an infinite regress in higher-order states. In this paper, I examine Ockham’s various responses to the regress problem, focusing in particular on his attempts to restrict the scope of consciousness so as to avoid it. In his earlier writings, Ockham holds that we are conscious only of those states to (...)
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  31. Ockhamism without Thin Red Lines.Andrea Iacona - 2014 - Synthese 191 (12):2633-2652.
    This paper investigates the logic of Ockhamism, a view according to which future contingents are either true or false. Several attempts have been made to give rigorous shape to this view by defining a suitable formal semantics, but arguably none of them is fully satisfactory. The paper draws attention to some problems that beset such attempts, and suggests that these problems are different symptoms of the same initial confusion, in that they stem from the unjustified assumption that the actual course (...)
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  32. The threefold object of the scientific knowledge. Pseudo-Scotus and the literature on the Meteorologica in fourteenth-century Paris.Lucian Petrescu - 2014 - Franciscan Studies 72:465-502.
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  33. Can God Know More? A Case Study in the Later Medieval Debate about Propositions.Susan Brower-Toland - 2013 - In Charles Bolyard & Rondo Keele (eds.), Later Medieval Metaphysics: Ontology, Language, and Logic. New York: Fordham University Press. pp. 161-187.
    This paper traces a rather peculiar debate between William Ockham, Walter Chatton, and Robert Holcot over whether it is possible for God to know more than he knows. Although the debate specifically addresses a theological question about divine knowledge, the central issue at stake in it is a purely philosophical question about the nature and ontological status of propositions. The theories of propositions that emerge from the discussion appear deeply puzzling, however. My aim in this paper is to show that (...)
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  34. Medieval Approaches to Consciousness: Ockham and Chatton.Susan Brower-Toland - 2012 - Philosophers' Imprint 12:1-29.
    My aim in this paper is to advance our understanding of medieval approaches to consciousness by focusing on a particular but, as it seems to me, representative medieval debate. The debate in question is between William Ockham and Walter Chatton over the existence of what these two thinkers refer to as “reflexive intellective intuitive cognition”. Although framed in the technical terminology of late-medieval cognitive psychology, the basic question at issue between them is this: Does the mind (or “intellect”) cognize its (...)
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  35. Indifference vs. Universality of Mental Representation in Ockham, Buridan, and Aquinas.Gyula Klima - 2010 - Questio. Yearbook of the History of Metaphysics 10 (1):99-110.
    This paper argues in the first place that nominalists are right in insisting against ontological realists that semantic universality does not require commitment to universal entities. However, Ockham, in his zeal to get rid of Scotus’s universal entities, swept under the carpet the issue of universal representational content of genuinely universal symbols, conflating it with the mere indifference of the information content of non-distinctive singular representations. Buridan did come up with an abstractionist theory of the formation of genuinely universal representational (...)
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  36. Absolute time before Newton.Emmaline Bexley - 2009 - Dissertation, The University of Melbourne
    This thesis provides a new analysis of early contributions to the development of the theory of absolute time—the notion that time exists independently of the presence or actions of material bodies and has no material cause. Though popularly attributed to Newton, I argue that this conception of time first appeared in medieval philosophy, as a solution to a peculiar theological problem generated by a widespread misrepresentation of Aristotle. I trace the subsequent evolution of the theory of absolute time through to (...)
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  37. Presentism and Ockham's Way Out.Alicia Finch & Michael C. Rea - 2008 - Oxford Studies in Philosophy of Religion 1:1-17.
    We lay out the fatalist’s argument, making sure to clarify which dialectical moves are available to the libertarian. We then offer a more robust presentation of Ockhamism, responding to obvious objections and teasing out the implications of the view. At this point, we discuss presentism and eternalism in more detail. We then present our argument for the claim that the libertarian cannot take Ockham’s way out of the fatalism argument unless she rejects presentism. Finally, we consider and dispense with objections (...)
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  38. Ockham on Judgment, Concepts, and the Problem of Intentionality.Susan Brower-Toland - 2007 - Canadian Journal of Philosophy 37 (1):67-110.
    In this paper I examine William Ockham’s theory of judgment and, in particular, his account of the nature and ontological status of its objects. Commentators, both past and present, habitually interpret Ockham as defending a kind of anti-realism about objects of judgment. My aim in this paper is two-fold. The first is to show that the traditional interpretation rests on a failure to appreciate the ways in which Ockham’s theory of judgment changes over the course of his career. The second, (...)
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  39. Intuition, Externalism, and Direct Reference in Ockham.Susan Brower-Toland - 2007 - History of Philosophy Quarterly 24 (4):317-336.
    In this paper I challenge recent externalist interpretations of Ockham’s theory of intuitive cognition. I begin by distinguishing two distinct theses that defenders of the externalist interpretation typically attribute to Ockham: a ‘direct reference thesis’, according to which intuitive cognitions are states that lack all internal, descriptive content; and a ‘causal thesis’, according to which intuitive states are wholly determined by causal connections they bear to singular objects. I then argue that neither can be plausibly credited to Ockham. In particular, (...)
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  40. Can God Make a Picasso? William Ockham and Walter Chatton on Divine Power and Real Relations.Rondo Keele - 2007 - Journal of the History of Philosophy 45 (3):395-411.
    This article focuses on one aspect of the late mediaeval debate over divine power, as it was discussed by Oxford philosophers Walter Chatton (d. 1343) and William Ockham (d. 1347). Chatton and Ockham would have agreed, for example, that God is ultimately responsible for the existence of the works of Pablo Picasso, but they would not agree over wheher it violates God's omnipotence to say that he cannot make something that Picasso made, for example, the painting Guernica, without using Picasso (...)
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  41. Oxford Quodibeta from Ockham to Holcot.Rondo Keele - 2006 - In Chris Schabel (ed.), Theological Quodlibeta in the Middle Ages: The Fourteenth Century. Brill. pp. 651-692.
    The quodlibetal collection sat Oxford in the are fourteenth century are discussed.
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  42. A Concepção de Guilherme de Ockham sobre as Ciências Intermediárias entre a Física e a Matemática.Marcélio José Ribeiro - 2004 - Thesis 1 (1):51-68.
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  43. Paul V. Spade (ed.), The Cambridge Companion to Ockham[REVIEW]Jeffrey E. Brower - 2000 - Journal of the History of Philosophy 38 (4):588-589.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Cambridge Companion to OckhamJeffrey E. BrowerPaul Vincent Spade, editor. The Cambridge Companion to Ockham. Cambridge: Cambridge University Press, 1999. Pp. xii + 400. Cloth, $54.95.Contemporary analytic philosophers have always been among the most enthusiastic audiences for the volumes in the Cambridge Companion series. And of all the great philosophers of the Middle Ages, perhaps none has appealed more to their sensibilities than William Ockham. It is fitting, (...)
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  44. Ockham on Mind-World Relations: What Sort of Nominalism?Andrew Chignell - 1997 - Eidos: The Canadian Graduate Journal of Philosophy 14 (1):11-28.
    (Warning: juvenalia from a grad student journal!). On whether Ockham's nominalism is really nominalistic and whether it faces some of the same problems as later nominalisms. -/- .
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  45. On Ockham's Supposition Theory and Karger's Rule of Inference.Ned Markosian - 1988 - Franciscan Studies 48 (1):40-52.
    Elizabeth Karger has suggested an interpretation of Ockham's theory of the modes of common personal supposition ("TM") according to which the purpose of TM is to provide certain distinctions that Ockham will use in formulating a unified theory of immediate inference among certain kinds of sentences. Karger presents a single, powerful rule of inference that incorporates TM distinctions and that is meant to codify Ockham's theory of immediate inference. I raise an objection to Karger's rule, thereby calling into doubt the (...)
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  46. Parts of Ockham’s razor and their counterparts.Ghislain Guigon - manuscript
    William of Ockham seems to have endorsed the view (i) that a whole is its parts, (ii) that some things are such that whether they together compose a whole is contingent, and (iii) that parts are ontologically prior to the whole they compose. Ockhamist Composition as Identity is the conjunction of these three claims. It seems doubly absurd since Leibniz’s Law arguments can be run against both the conjunction of (i) and (ii) and that of (i) and (iii). In this (...)
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