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Wittgensteins Diagonal-Argument: Eine Variation auf Cantor und TuringIn Bromand Joachim & Reichert Bastian (eds.), Wittgenstein und die Philosophie der Mathematik, Mentis Verlag. pp. 167-197. 2018.A German translation with 2017 postscript of Floyd, Juliet. 2012. "Wittgenstein's Diagonal Argument: A Variation on Cantor and Turing." In Epistemology versus Ontology, Logic, Epistemology: Essays in Honor of Per Martin-Löf, edited by P. Dybjer, S. Lindström, E. Palmgren and G. Sundholm, 25-44. Dordrecht: Springer Science+Business Media. An analysis of philosophical aspects of Turing's diagonal argument in his (136) "On computable numbers, with an application to the Entscheidungsproblem" in rel…Read more
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21Prefatory Note to the Frege-Wittgenstein CorrespondenceIn Enzo De Pellegrin (ed.), Interactive Wittgenstein, Springer. pp. 1--14. 2011.
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128Chains of Life: Turing, Lebensform, and the Emergence of Wittgenstein’s Later StyleNordic Wittgenstein Review 5 (2): 7-89. 2016.This essay accounts for the notion of _Lebensform_ by assigning it a _logical _role in Wittgenstein’s later philosophy. Wittgenstein’s additions of the notion to his manuscripts of the _PI_ occurred during the initial drafting of the book 1936-7, after he abandoned his effort to revise _The Brown Book_. It is argued that this constituted a substantive step forward in his attitude toward the notion of simplicity as it figures within the notion of logical analysis. Next, a reconstruction of his la…Read more
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6Philosophy of Emerging Media: Understanding, Appreciation and Application (edited book)Oxford University Press. 2015.This book presents a wide range of thinking about how the discipline of philosophy has engaged and might in the future engage with the profound questions raised by rapidly shifting methods of communication. Although social media and telecommunications have dramatically altered the daily lives of people, and no technology has enjoyed the same rapid success as that of the mobile phone, the philosophical underpinnings and consequences of these changes have been insufficiently explored. Clustered in…Read more
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3The Fact of Judgment: The Kantian Response to the Humean ConditionIn Jeff Malpas (ed.), From Kant to Davidson: Philosophy and the Idea of the Transcendental, Routledge. pp. 22--47. 2003.
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60Prose versus Proof: Wittgenstein on Gödel, Tarski and Truth†: ArticlesPhilosophia Mathematica 9 (3): 280-307. 2001.1) A survey of current evidence available concerning Wittgenstein's attitude toward, and knowledge of, Gödel's first incompleteness theorem, including his discussions with Turing, Watson and others in 1937–1939, and later testimony of Goodstein and Kreisel; 2) Discussion of the philosophical and historical importance of Wittgenstein's attitude toward Gödel's and other theorems in mathematical logic, contrasting this attitude with that of, e.g. , Penrose; 3) Replies to an instructive criticism of…Read more
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25Frege, semantics, and the double definition strokeIn Anat Biletzki & Anat Matar (eds.), The Story of Analytic Philosophy: Plot and Heroes, Routledge. pp. 141-166. 1998.
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368A Note on Wittgenstein’s “Notorious Paragraph” About the Gödel TheoremJournal of Philosophy 97 (11): 624-632. 2000.
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60Response to Michael FriedmanIn Schneewind J. (ed.), Teaching New Histories of Philosophy, . pp. 225-234. 2004.
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459Putnam's 'the meaning of meaning': Externalism in historical contextIn Yemima Ben-Menahem (ed.), Hilary Putnam (Contemporary Philosophy in Focus), Cambridge University Press. 2005.
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1Carnap, Turing and Wittgenstein : contrasting notions of analysisIn Pierre Wagner (ed.), Carnap's Ideal of Explication and Naturalism, Palgrave-macmillan. 2012.
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The varieties of rigorous experienceIn Michael Beaney (ed.), The Oxford Handbook of the History of Analytic Philosophy, Oxford University Press. 2013.
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28Review of James C. Klagge ed., Wittgenstein: Biography and Philosophy (review)Notre Dame Philosophical Reviews 2002 (6). 2002.Wittgenstein Biography and Philosophy
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2On being surprised: Wittgenstein on aspect-perception, logic, and mathematicsIn William Day & Víctor J. Krebs (eds.), Seeing Wittgenstein Anew, Cambridge University Press. 2010.
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186Wittgenstein on Philosophy of Logic and MathematicsGraduate Faculty Philosophy Journal 25 (2): 227-287. 2004.A survey of Wittgenstein's writings on logic and mathematics; an analytical bibliography of contemporary articles on rule-following, social constructivism, Wittgenstein, Godel, and constructivism is appended. Various historical accounts of the nature of mathematical knowledge glossed over the effects of linguistic expression on our understanding of its status and content. Initially Wittgenstein rejected Frege's and Russell's logicism, aiming to operationalize the notions of logical consequence, …Read more
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5TbaNordic Wittgenstein Review 5 (2). 2016.[This Invited Paper will be published in December 2016.]
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35Prosa versus Demonstração: Wittgenstein sobre Gödel, Tarski e a VerdadeRevista Portuguesa de Filosofia 58 (3). 2002.O presente artigo procede, em primeiro lugar, a um exame das evidências disponíveis referentes à atitude de Wittgenstein em relação ao, bem como conhecimento do, primeiro teorema da incompletude de Gödel, incluindo as suas discussões com Turing, Watson e outros em 1937-1939, e o testemunho posterior de Goodstein e Kreisel Em segundo lugar, o artigo discute a importância filosófica e histórica da atitude de Wittgenstein em relação ao teorema de Gödel e outros teoremas da lógica matemática, contra…Read more
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56Depth and Clarity * Felix Muhlholzer. Braucht die Mathematik eine Grundlegung? Eine Kommentar des Teils III von Wittgensteins Bemerkungen uber die Grundlagen der Mathematik [Does Mathematics need a Foundation? A Commentary on Part III of Wittgenstein's Remarks on the Foundations of Mathematics]. Frankfurt: Vittorio Klostermann, 2010. ISBN: 978-3-465-03667-8. Pp. xiv + 602 (review)Philosophia Mathematica 23 (2): 255-276. 2015.
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1143 Wittgenstein and the InexpressibleIn Alice Crary (ed.), Wittgenstein and the Moral Life: Essays in Honor of Cora Diamond, Mit Press. pp. 177-234. 2007.
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Rawls' restatement of justice as fairness : an introductory overviewIn Klaus Dethloff & Peter Kampits (eds.), Humane Existenz: Reflexionen zur Ethik in einer pluralistischen Gesellschaft, Parerga. 2007.
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114Bays, Steiner, and Wittgenstein’s “Notorious” Paragraph about the Gödel TheoremJournal of Philosophy 103 (2): 101-110. 2006.
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2Wittgenstein sobre Gödel, Tarski e a VerdadeRevista Portuguesa de Filosofia 58 (3): 605-632. 2002.
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82The Frege-Wittgenstein Correspondence: Interpretive ThemesIn Enzo De Pellegrin (ed.), Interactive Wittgenstein, Springer. pp. 75--107. 2011.
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432Prose versus proof: Wittgenstein on gödel, Tarski and TruthPhilosophia Mathematica 9 (3): 280-307. 2001.A survey of current evidence available concerning Wittgenstein's attitude toward, and knowledge of, Gödel's first incompleteness theorem, including his discussions with Turing, Watson and others in 1937–1939, and later testimony of Goodstein and Kreisel; 2) Discussion of the philosophical and historical importance of Wittgenstein's attitude toward Gödel's and other theorems in mathematical logic, contrasting this attitude with that of, e.g., Penrose; 3) Replies to an instructive criticism of my …Read more
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99Future pasts: the analytic tradition in twentieth-century philosophy (edited book)Oxford University Press. 2001.This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing elements of the analytic tradition. Drawing together a venerable group of contributors, including John Rawls and Hilary Putnam, this volume explores the historical contexts in which analytic philosophers have worked, revealing multiple discontinuities and misunderstandings as well as a complex inter…Read more
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20Wiener Ausgabe. Band I. Philosophische BemerkungenJournal of the History of Philosophy 34 (3): 475-477. 1996.BOOK REVIEWS 475 mean the traditional notion of arche, i.e., a present homogeneous origin/kingdom" . The significance of this Ursprung is that of the event of world pretheoretically yielding itself itself and things . Van Buren's basic contention is that Heidegger's demythologized question about being in the early Freiburg period is overtaken by remythologizing tendencies, from the existential-transcendental configuration of the question in Being and Time to various mythopoetic reconfigurations.…Read more
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