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  1. Roy T. Cook (forthcoming). Possible Predicates and Actual Properties. Synthese:1-28.
    In “Properties and the Interpretation of Second-Order Logic” (Hale, Philos Math 21:133–156, 2013) Bob Hale develops and defends a deflationary conception of properties where a property with particular satisfaction conditions actually (and in fact necessarily) exists if and only if it is possible that a predicate with those same satisfaction conditions exists. He argues further that, since our languages are finitary, there are at most countably infinitely many properties and, as a result, the account fails to underwrite the standard semantics (...)
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  2. Roy T. Cook (2014). B. Jack Copeland, Carl J. Posy, and Oron Shagrir, Eds, Computability: Turing, Gödel, Church, and Beyond. Cambridge, Mass.: MIT Press, 2013. ISBN 978-0-262-01899-9. Pp. X + 362. [REVIEW] Philosophia Mathematica 22 (3):412-413.
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  3. Roy T. Cook (2014). Groensteen, Thierry. Comics and Narration. Trans. Ann Miller. University Press of Mississippi, 2013, Ix + 205 Pp., 16 B&W Illus., $55.00 Cloth. [REVIEW] Journal of Aesthetics and Art Criticism 72 (3):337-340.
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  4. Roy T. Cook (2014). If A Then B: How the World Discovered Logic. History and Philosophy of Logic 35 (3):301-303.
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  5. Roy T. Cook (2014). Should Anti-Realists Be Anti-Realists About Anti-Realism? Erkenntnis 79 (2):233-258.
    On the Dummettian understanding, anti-realism regarding a particular discourse amounts to (or at the very least, involves) a refusal to accept the determinacy of the subject matter of that discourse and a corresponding refusal to assert at least some instances of excluded middle (which can be understood as expressing this determinacy of subject matter). In short: one is an anti-realist about a discourse if and only if one accepts intuitionistic logic as correct for that discourse. On careful examination, the strongest (...)
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  6. Roy T. Cook (2014). There is No Paradox of Logical Validity. Logica Universalis 8 (3-4):447-467.
    A number of authors have argued that Peano Arithmetic supplemented with a logical validity predicate is inconsistent in much the same manner as is PA supplemented with an unrestricted truth predicate. In this paper I show that, on the contrary, there is no genuine paradox of logical validity—a completely general logical validity predicate can be coherently added to PA, and the resulting system is consistent. In addition, this observation lead to a number of novel, and important, insights into the nature (...)
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  7. Roy T. Cook (2014). The Yablo Paradox: An Essay on Circularity. Oup Oxford.
    Roy T Cook examines the Yablo paradox--a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others that follow it. He focuses on questions of characterization, circularity, and generalizability, and pays special attention to the idea that it provides us with a semantic paradox that involves no circularity.
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  8. Roy T. Cook (2013). Appendix: How to Read Grundgesetze. In Gottlob Frege (ed.), Basic Laws of Arithmetic, Derived Using Concept-Script: Volumes I & Ii. Oxford University Press.
  9. Roy T. Cook (2013). Canonicity and Normativity in Massive, Serialized, Collaborative Fiction. Journal of Aesthetics and Art Criticism 71 (3):271-276.
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  10. Roy T. Cook (2013). Critical Notice. Australasian Journal of Philosophy 91 (2):395-405.
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  11. Roy T. Cook (2013). Critical Notice: Humberstone, Lloyd, the Connectives, Cambridge, Ma: Mit Press, 2011, Pp. XVII+ 1492, $ Us65. 00,£ 44.95 (Hardback). [REVIEW] Australasian Journal of Philosophy 91 (2):395-405.
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  12. Roy T. Cook (2013). Paradoxes. Polity.
    The care and feeding of your new paradoxes -- The truth about truth -- The title of this chapter will have its revenge -- Some collections are bigger and badder than others -- Bald, not bald, and kinda bald -- What we know about what we know -- Conclusion: many paradoxes, one solution?
     
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  13. Roy T. Cook (2013). Patricia A. Blanchette. Frege's Conception of Logic. Oxford University Press, 2012. ISBN 978-0-19-926925-9 (Hbk). Pp. Xv + 256. [REVIEW] Philosophia Mathematica (1):nkt029.
  14. Roy T. Cook (2012). Drawings of Photographs in Comics. Journal of Aesthetics and Art Criticism 70 (1):129-138.
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  15. Roy T. Cook (2012). G. Sommaruga (Editor), Foundational Theories of Classical and Constructive Mathematics. Bulletin of Symbolic Logic 18 (1):128.
     
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  16. Roy T. Cook (2012). Impure Sets Are Not Located: A Fregean Argument. Thought 1 (3):219-229.
    It is sometimes suggested that impure sets are spatially co-located with their members (and hence are located in space). Sets, however, are in important respects like numbers. In particular, sets are connected to concepts in much the same manner as numbers are connected to concepts—in both cases, they are fundamentally abstracts of (or corresponding to) concepts. This parallel between the structure of sets and the structure of numbers suggests that the metaphysics of sets and the metaphysics of numbers should parallel (...)
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  17. Roy T. Cook (2012). Response to My Critics. Análisis Filosófico 32 (1):69-97.
    During the Winter of 2011 I visited SADAF and gave a series of talks based on the central chapters of my manuscript on the Yablo paradox. The following year, I visited again, and was pleased and honored to find out that Eduardo Barrio and six of his students had written ‘responses’ that addressed the claims and arguments found in the manuscript, as well as explored new directions in which to take the ideas and themes found there. These comments reflect my (...)
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  18. Roy T. Cook (2012). Universals and Abstract. In Robert Barnard Neil Manson (ed.), Continuum Companion to Metaphysics. 67.
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  19. Aaron Meskin & Roy T. Cook (eds.) (2012). The Art of Comics: A Philosophical Approach. Wiley-Blackwell.
    Machine generated contents note: Foreword (Warren Ellis).Introduction (Roy T. Cook and Aaron Meskin).PART I: The Nature and Kinds of Comics.1. Redefining Comics (John Holbo).2. The Ontology of Comics (Aaron Meskin).3. Comics and Collective Authorship (Christy Mag Uidhir).4. Comics and Genre (Catharine Abell).PART 2: Comics and Representation.5. Wordy Pictures: Theorizing the Relationship between Image and Text in Comics (Thomas E. Wartenberg).6. What's So Funny? Comic Content in Depiction (Patrick Maynard).7. The Language of Comics (Darren Hudson Hick).PART 3: Comics and the Other (...)
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  20. Roy T. Cook (2011). Alethic Pluralism, Generic Truth and Mixed Conjunctions. Philosophical Quarterly 61 (244):624-629.
    A difficulty for alethic pluralism has been the idea that semantic evaluation of conjunctions whose conjuncts come from discourses with distinct truth properties requires a third notion of truth which applies to both of the original discourses. But this line of reasoning does not entail that there exists a single generic truth property that applies to all statements and all discourses, unless it is supplemented with additional, controversial, premises. So the problem of mixed conjunctions, while highlighting other aspects of alethic (...)
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  21. Roy T. Cook (2011). Do Comics Require Pictures? Or Why Batman #663 Is a Comic. Journal of Aesthetics and Art Criticism 69 (3):285-296.
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  22. Roy T. Cook (2011). Mathematics, Models, and Modality. History and Philosophy of Logic 31 (3):287-289.
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  23. Roy T. Cook (2011). The No-No Paradox Is a Paradox. Australasian Journal of Philosophy 89 (3):467-482.
    The No-No Paradox consists of a pair of statements, each of which ?says? the other is false. Roy Sorensen claims that the No-No Paradox provides an example of a true statement that has no truthmaker: Given the relevant instances of the T-schema, one of the two statements comprising the ?paradox? must be true (and the other false), but symmetry constraints prevent us from determining which, and thus prevent there being a truthmaker grounding the relevant assignment of truth values. Sorensen's view (...)
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  24. Roy T. Cook (2011). Vagueness and Meaning. In Giuseppina Ronzitti (ed.), Vagueness: A Guide. Springer Verlag. 83--106.
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  25. Roy T. Cook (2010). Let a Thousand Flowers Bloom: A Tour of Logical Pluralism. Philosophy Compass 5 (6):492-504.
    Logical pluralism is the view that there is more than one correct logic. In this article, I explore what logical pluralism is, and what it entails, by: (i) distinguishing clearly between relativism about a particular domain and pluralism about that domain; (ii) distinguishing between a number of forms logical pluralism might take; (iii) attempting to distinguish between those versions of pluralism that are clearly true and those that are might be controversial; and (iv) surveying three prominent attempts to argue for (...)
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  26. Roy T. Cook (2010). Vagueness and Degrees of Truth – By Nicholas J. J. Smith. Theoria 76 (4):380-384.
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  27. Kenneth Easwaran, Philip Ehrlich, David Ross, Christopher Hitchcock, Peter Spirtes, Roy T. Cook, Jean-Pierre Marquis, Stewart Shapiro & Royt Cook (2010). The Palmer House Hilton Hotel, Chicago, Illinois February 18–20, 2010. Bulletin of Symbolic Logic 16 (3).
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  28. Roy T. Cook (2009). A Dictionary of Philosophical Logic. Edinburgh University Press.
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  29. Roy T. Cook (2009). Curry, Yablo and Duality. Analysis 69 (4):612-620.
  30. Roy T. Cook (2009). Hume's Big Brother: Counting Concepts and the Bad Company Objection. Synthese 170 (3):349 - 369.
    A number of formal constraints on acceptable abstraction principles have been proposed, including conservativeness and irenicity. Hume’s Principle, of course, satisfies these constraints. Here, variants of Hume’s Principle that allow us to count concepts instead of objects are examined. It is argued that, prima facie, these principles ought to be no more problematic than HP itself. But, as is shown here, these principles only enjoy the formal properties that have been suggested as indicative of acceptability if certain constraints on the (...)
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  31. Roy T. Cook (2009). New Waves on an Old Beach: Fregean Philosophy of Mathematics Today. In Ø. Linnebo O. Bueno (ed.), New Waves in Philosophy of Mathematics.
     
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  32. Roy T. Cook (2009). What is a Truth Value and How Many Are There? Studia Logica 92 (2):183 - 201.
    Truth values are, properly understood, merely proxies for the various relations that can hold between language and the world. Once truth values are understood in this way, consideration of the Liar paradox and the revenge problem shows that our language is indefinitely extensible, as is the class of truth values that statements of our language can take – in short, there is a proper class of such truth values. As a result, important and unexpected connections emerge between the semantic paradoxes (...)
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  33. Roy T. Cook (2008). 'P is True and Non-Cartesian' is Non-Cartesian. Analysis 68 (299):183–185.
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  34. Roy T. Cook (2007). EmbracingRevenge: On the Indefinite ExtendibilityofLanguage. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press. 31.
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  35. Roy T. Cook (2007). Embracing Revenge: On the Indefinite Extendibility of Language. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
     
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  36. Roy T. Cook (2006). Knights, Knaves and Unknowable Truths. Analysis 66 (289):10–16.
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  37. Roy T. Cook (2006). There Are Non-Circular Paradoxes (but Yablo's Isn't One of Them!). The Monist 89 (1):118-149.
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  38. Roy T. Cook (2005). What's Wrong with Tonk(?). Journal of Philosophical Logic 34 (2):217 - 226.
    In “The Runabout Inference Ticket” AN Prior (1960) examines the idea that logical connectives can be given a meaning solely in virtue of the stip- ulation of a set of rules governing them, and thus that logical truth/conse- quence.
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  39. Roy T. Cook & Philip A. Ebert (2005). Abstraction and Identity. Dialectica 59 (2):121–139.
    A co-authored article with Roy T. Cook forthcoming in a special edition on the Caesar Problem of the journal Dialectica. We argue against the appeal to equivalence classes in resolving the Caesar Problem.
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  40. Roy T. Cook (2004). Patterns of Paradox. Journal of Symbolic Logic 69 (3):767-774.
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  41. Roy T. Cook (2004). Review: Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures. [REVIEW] Mind 113 (449):154-157.
  42. Roy T. Cook & Philip Ebert (2004). The Limits of Abstraction (Book Review). British Journal for the Philosophy of Science 55 (4):791-800.
    The Limits ofion, Kit Fine, Oxford: Clarendon Press, 2002, pp.216. ISBN 9780191567261.
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  43. Roy T. Cook & Philip A. Ebert (2004). Kit Fine, the Limits of Abstraction Oxford, Clarendon Press, 2002, Cloth £18.99/US $25.00 ISBN: 0-19-924618-. [REVIEW] British Journal for the Philosophy of Science 55 (4):791-800.
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  44. Roy T. Cook (2003). Aristotelian Logic, Axioms, and Abstraction. Philosophia Mathematica 11 (2):195-202.
    Stewart Shapiro and Alan Weir have argued that a crucial part of the demonstration of Frege's Theorem (specifically, that Hume's Principle implies that there are infinitely many objects) fails if the Neo-logicist cannot assume the existence of the empty property, i.e., is restricted to so-called Aristotelian Logic. Nevertheless, even in the context of Aristotelian Logic, Hume's Principle implies much of the content of Peano Arithmetic. In addition, their results do not constitute an objection to Neo-logicism so much as a clarification (...)
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  45. Roy T. Cook (2003). Still Counterintuitive: A Reply to Kremer. Analysis 63 (279):257–261.
    In (2002) I argued that Gupta and Belnap’s Revision Theory of Truth (1993) has counterintuitive consequences. In particular, the pair of sentences: (S1) At least one of S1 and S2 is false. (S2) Both of S1 and S2 are false.1 is pathological on the Revision account. There is one, and only one, assignment of truth values to {(S1), (S2)} that make the corresponding Tarski..
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  46. Roy T. Cook (2003). Review of J. Mayberry, The Foundations of Mathematics in the Theory of Sets. [REVIEW] British Journal for the Philosophy of Science 54 (2):347-352.
  47. Roy T. Cook (2002). Curing The Liar Syndrome. SATS: Northern European Journal of Philosophy 3 (2).
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  48. Roy T. Cook (2002). The State of the Economy: Neo-Logicism and Inflationt. Philosophia Mathematica 10 (1):43-66.
    In this paper I examine the prospects for a successful neo–logicist reconstruction of the real numbers, focusing on Bob Hale's use of a cut-abstraction principle. There is a serious problem plaguing Hale's project. Natural generalizations of this principle imply that there are far more objects than one would expect from a position that stresses its epistemological conservativeness. In other words, the sort of abstraction needed to obtain a theory of the reals is rampantly inflationary. I also indicate briefly why this (...)
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  49. Roy T. Cook (2002). Vagueness and Mathematical Precision. Mind 111 (442):225-247.
    One of the main reasons for providing formal semantics for languages is that the mathematical precision afforded by such semantics allows us to study and manipulate the formalization much more easily than if we were to study the relevant natural languages directly. Michael Tye and R. M. Sainsbury have argued that traditional set-theoretic semantics for vague languages are all but useless, however, since this mathematical precision eliminates the very phenomenon (vagueness) that we are trying to capture. Here we meet this (...)
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  50. Roy T. Cook (2000). Monads and Mathematics: The Logic of Leibniz's Mereology. Studia Leibnitiana 32 (1):1 - 20.
    Es bestehen tiefgreifende Zusammenhänge zwischen Leibniz' Mathematik und seiner Metaphysik. Dieser Aufsatz hat das Ziel, das Verständnis für diese beiden Bereiche zu erweitern, indem er Leibniz' Mereologie (die Theorie der Teile und des Ganzen) näher untersucht. Zunachst wird Leibniz' Mereologie primär anhand seiner Schrift “Initia rerum mathematicarum metaphysica" rekonstruiert. Dieses ehrgeizige Programm beginnt mit dem einfachen Begriff der Kompräsenz, geht dann iiber zu komplexeren Begriffen wie Gleichheit, Ähnlichkeit und Homogenität und kulminiert letztlich in der Leibnizschen Definition der Begriffe Teil, Ganzes (...)
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