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113Depth 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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314Recent themes in the history of early analytic philosophyJournal of the History of Philosophy 47 (2). 2009.A survey of the emergence of early analytic philosophy as a subfield of the history of philosophy. The importance of recent literature on Frege, Russell, and Wittgenstein is stressed, as is the widening interest in understanding the nineteenth-century scientific and Kantian backgrounds. In contrast to recent histories of early analytic philosophy by P.M.S. Hacker and Scott Soames, the importance of historical and philosophical work on the significance of formalization is highlighted, as are the …Read more
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266Bays, Steiner, and Wittgenstein’s “Notorious” Paragraph about the Gödel TheoremJournal of Philosophy 103 (2): 101-110. 2006.
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Ch. 35. The varieties of rigorous experienceIn Michael Beaney (ed.) https://philpapers.org/rec/BEATOH, Oxford University Press. 2013.
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709Prose 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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164Future 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tradition in twentieth-century philosophy (edited book)Oxford University Press. 2001.This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing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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272Wittgenstein 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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80Response to Michael FriedmanIn Schneewind J. (ed.), Teaching New Histories of Philosophy, . pp. 225-234. 2004.
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