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Luntley, Michael, Language, Logic and Experience: The Case for Antirealism (review)Mind 99 (n/a): 123. 1990.
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53Leveling the playing field between mind and machine: A reply to McCallJournal of Philosophy 97 (8): 456-452. 2000.
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10Zur Philosophie der Mathematik: Logizismus, Intuitionismus, Finitismus, Gödel'sche UnvollständigkeitssätzeSpringer Berlin Heidelberg. 2018.Dieses Buch blickt in eine bedeutende Epoche der Philosophie der Mathematik zurück, deren Strömungen die heutige Gestalt der Mathematik prägten. In der Wende vom 19. zum 20. Jahrhundert befand sich die Mathematik in einem fundamentalen Umbruch, der die Mathematiker dieser Zeit herausforderte. Sie mussten Stellung beziehen. Die Grundsätze und Wege der philosophischen Richtungen, die dieses Buch verständlich, kritisch und anerkennend beschreibt, wurden von Mathematikern formuliert. Eine Zeit gravi…Read more
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26The Everlasting Check: Hume on MiraclesHarvard University Press. 2016.Alexander George’s lucid interpretation of Hume’s “Of Miracles” provides fresh insights into this provocative text, explaining the concepts and claims involved. He also shows why Hume’s argument fails to engage with committed religious thought and why philosophical argumentation so often proves ineffective in shaking people’s deeply held beliefs.
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30Anatomy of a Muddle: Wittgenstein and PhilosophyIn James Conant & Sebastian Sunday (eds.), Wittgenstein on Philosophy, Objectivity, and Meaning, Cambridge University Press. pp. 1-27. 2019.Ludwig Wittgenstein has a recognizable approach that he regularly pursues in his philosophical investigations. There is a problem that he often presses, a form of criticism that he often develops, against traditional pursuits of philosophy. It is surprisingly difficult to say clearly what this problem is. But it is worthwhile to try, for this criticism is not only a hallmark of his thought but is also closely connected to other central features of it, for instance, to his conceptions of language…Read more
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140Whose language is it anyway? Some notes on idiolectsPhilosophical Quarterly 40 (160): 275-298. 1990.
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38Whence and Whither the Debate Between Quine and Chomsky?Journal of Philosophy 83 (9): 489. 1986.
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21The conveyability of intuitionism, an essay on mathematical cognitionJournal of Philosophical Logic 17 (2). 1988.
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1How not to become confused about linguisticsIn Noam Chomsky & Alexander George (eds.), Reflections on Chomsky, Blackwell. pp. 90--110. 1989.
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23Discussions: ‘Goldbach's Conjecture Can Be Decided in One Minute’: On an Alleged Problem for IntuitionismProceedings of the Aristotelian Society 91 (1): 187-190. 1991.Alexander George; Discussions: ‘Goldbach's Conjecture Can Be Decided in One Minute’: On an Alleged Problem for Intuitionism, Proceedings of the Aristotelian Soc.
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29Intuitionism, excluded middle and decidability: A response to Weir on DummettMind 97 (388): 597-602. 1988.
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22'Goldbach's Conjecture Can Be Decided in One Minute': On an Alleged Problem for IntuitionismProceedings of the Aristotelian Society 91. 1991.Alexander George; Discussions: ‘Goldbach's Conjecture Can Be Decided in One Minute’: On an Alleged Problem for Intuitionism, Proceedings of the Aristotelian Soc.
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74Intuitionism and the poverty of the inference argumentTopoi 13 (2): 79-82. 1994.Intuitionism is occasionally advanced on the grounds that a classical understanding of mathematical discourse could not be acquired, given limitations of the experience available to the language learner. In this note, focusing on the acquisition of the universal quantifier, I argue that this route of attack against a classical construal results, at best, in a Pyrrhic victory. The conditions under which it is successful are such as to redound upon the tenability of intuitionism itself. Adjudicati…Read more
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99Skolem and the löwenheim-skolem theorem: a case study of the philosophical significance of mathematical resultsHistory and Philosophy of Logic 6 (1): 75-89. 1985.The dream of a community of philosophers engaged in inquiry with shared standards of evidence and justification has long been with us. It has led some thinkers puzzled by our mathematical experience to look to mathematics for adjudication between competing views. I am skeptical of this approach and consider Skolem's philosophical uses of the Löwenheim-Skolem Theorem to exemplify it. I argue that these uses invariably beg the questions at issue. I say ?uses?, because I claim further that Skolem s…Read more
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2Must the Language of Knowledge Be Used in Explaining Knowledge of Language?Dissertation, Harvard University. 1986.Few thinkers in the past three decades have exerted more influence on the philosophy of language than Quine, Dummett, and Chomsky. No investigation into the current state of philosophy of language can omit consideration of their views. Yet I believe that their work has often been seriously misinterpreted. I begin by trying to clear up some unfortunate and prevalent misunderstandings. In particular, I examine in detail the relationship between Quine's and Chomsky's thought and argue that rumors o…Read more
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19Leveling the Playing Field between Mind and Machine: A Reply to McCallJournal of Philosophy 97 (8): 456. 2000.
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38Philosophies of mathematicsBlackwell. 2002.This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
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778Quine’s Indeterminacy: A Paradox Resolved and a Problem RevealedThe Harvard Review of Philosophy 21 41-55. 2014.
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3Has Dummett Over-salted His Frege? Remarks on the Conveyability of ThoughtIn Richard G. Heck (ed.), Language, thought, and logic: essays in honour of Michael Dummett, Oxford University Press. pp. 35--69. 1997.
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11Quine and ObservationIn Alex Orenstein & Petr Kotatko (eds.), Knowledge, Language and Logic: Questions for Quine, Kluwer Academic Print On Demand. pp. 21--45. 2000.
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594Opening the Door to Cloud-Cuckoo-Land: Hempel and Kuhn on RationalityJournal for the History of Analytical Philosophy 1 (4). 2012.A reading is offered of Carl Hempel’s and Thomas Kuhn’s positions on, and disagreements about, rationality in science that relates these issues to the debate between W.V. Quine and Rudolf Carnap on the analytic/synthetic distinction.
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28Katz AstrayMind and Language 11 (3): 295-305. 1996.The foundations of linguistics continue to generate philosophical debate. Jerrold Katz claims that the subject matter of linguistics consists of abstract objects and that, as a consequence, the discipline cannot be viewed as part of psychology. I respond by arguing (1) that Katz misinterprets work in the philosophy of mathematics which he believes sheds light on foundational questions in linguistics; (2) that he misunderstands aspects of Noam Chomsky's position, against whose conception of lingu…Read more
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83Two conceptions of natural numberIn Harold Garth Dales & Gianluigi Oliveri (eds.), Truth in mathematics, Oxford University Press, Usa. pp. 311. 1998.
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20th Century Analytic Philosophy |
Philosophy of Language |