Search results for 'Wittgenstein's philosophy of mathematics' (try it on Scholar)

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  1. Social Philosophy (1973). Meaning and Structure: An Essay in the Philosophy of Language. Philosophical Books 14 (3):8-10.score: 2856.0
    A review of a work in which a systematic and general theory of the nature of the conventions governing the semantics of a natural language is developed, with the object of offering a conceptual framework within which semantic phenomena can be understood in relation to syntax and to the communicative and social aspects of language. The empiricist theory of language is criticized for not supplying an adequate framework for the explanation of language learning. Taxonomy is a solution to the problems (...)
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  2. Pieranna Garavaso (1988). Wittgenstein's Philosophy of Mathematics: A Reply to Two Objections. Southern Journal of Philosophy 26 (2):179-191.score: 1740.0
    This paper has two main purposes: first to compare Wittgenstein's views to the more traditional views in the philosophy of mathematics; second, to provide a general outline for a Wittgensteinian reply to two objections against Wittgenstein's account of mathematics: the objectivity objection and the consistency objections, respectively. Two fundamental thesmes of Wittgenstein's account of mathematics title the first two sections: mathematical propositions are rules and not descritpions and mathematics is employed within a (...)
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  3. Ray Monk (2007). Bourgeois, Bolshevist or Anarchist?: The Reception of Wittgenstein's Philosophy of Mathematics. In Guy Kahane, Edward Kanterian & Oskari Kuusela (eds.), Wittgenstein and His Interpreters: Essays in Memory of Gordon Baker. Blackwell Pub..score: 1620.0
    Introduction 1. Perspectives on Wittgenstein: An Intermittently Opinionated Survey: Hans-Johann Glock. 2. Wittgenstein's Method: Ridding People of Philosophical Prejudices: Katherine Morris. 3. Gordon Baker's Late Interpretation of Wittgenstein: P. M. S. Hacker. 4. The Interpretation of the Philosophical Investigations: Style, Therapy, Nachlass: Alois Pichler. 5. Ways of Reading Wittgenstein: Observations on Certain Uses of the Word 'Metaphysics': Joachim Schulte. 6. Metaphysical/Everyday Use: A Note on a Late Paper by Gordon Baker: Hilary Putnam. 7. Wittgenstein and Transcendental Idealism: A. W. (...)
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  4. Pasquale Frascolla (1994). Wittgenstein's Philosophy of Mathematics. Routledge.score: 1539.0
    Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal (...)
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  5. Peter C. Kjaergaard (2002). Hertz and Wittgenstein's Philosophy of Science. Journal for General Philosophy of Science 33 (1):121-149.score: 1488.0
    The German physicist Heinrich Hertz played a decisive role for Wittgenstein's use of a unique philosophical method. Wittgenstein applied this method successfully to critical problems in logic and mathematics throughout his life. Logical paradoxes and foundational problems including those of mathematics were seen as pseudo-problems requiring clarity instead of solution. In effect, Wittgenstein's controversial response to David Hilbert and Kurt Gödel was deeply influenced by Hertz and can only be fully understood when seen in this context. (...)
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  6. Sebastian Greve & Felix Mühlhölzer (2014). Wittgenstein's Philosophy of Mathematics: Felix Mühlhölzer in Conversation with Sebastian Greve. Nordic Wittgenstein Review 3 (2).score: 1449.0
    Sebastian Greve interviews Felix Mühlhölzer on his work on the philosophy of mathematics. This text will be availabe online in December 2014.
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  7. Mark Steiner (2009). Empirical Regularities in Wittgenstein's Philosophy of Mathematics. Philosophia Mathematica 17 (1):1-34.score: 1419.0
    During the course of about ten years, Wittgenstein revised some of his most basic views in philosophy of mathematics, for example that a mathematical theorem can have only one proof. This essay argues that these changes are rooted in his growing belief that mathematical theorems are ‘internally’ connected to their canonical applications, i.e. , that mathematical theorems are ‘hardened’ empirical regularities, upon which the former are supervenient. The central role Wittgenstein increasingly assigns to empirical regularities had profound implications (...)
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  8. Simo Säätelä (2013). Aesthetics - Wittgenstein's Paradigm of Philosophy? Aisthesis. Pratiche, Linguaggi E Saperi Dell’Estetico 6 (1):35-53.score: 1398.0
    This paper attempts to elucidate Wittgenstein’s remark about the “strange resemblance between a philosophical investigation (especially in mathematics) and an aesthetic one” from 1937 by looking at its textual and philosophical context. The conclusion is that the remark can be seen both as a description of a particular conception of philosophy, a prescription or declaration of intent (to proceed in a particular way), and a reminder (to Wittgenstein himself) about the form of a philosophical investigation. Furthermore, it is (...)
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  9. Francesco Berto (2009). The Gödel Paradox and Wittgenstein's Reasons. Philosophia Mathematica 17 (2):208-219.score: 1368.0
    An interpretation of Wittgenstein’s much criticized remarks on Gödel’s First Incompleteness Theorem is provided in the light of paraconsistent arithmetic: in taking Gödel’s proof as a paradoxical derivation, Wittgenstein was drawing the consequences of his deliberate rejection of the standard distinction between theory and metatheory. The reasoning behind the proof of the truth of the Gödel sentence is then performed within the formal system itself, which turns out to be inconsistent. It is shown that the features of paraconsistent arithmetics match (...)
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  10. Boudewijn de Bruin (2008). Wittgenstein on Circularity in the Frege-Russell Definition of Cardinal Number. Philosophia Mathematica 16 (3):354-373.score: 1332.0
    Several scholars have argued that Wittgenstein held the view that the notion of number is presupposed by the notion of one-one correlation, and that therefore Hume's principle is not a sound basis for a definition of number. I offer a new interpretation of the relevant fragments on philosophy of mathematics from Wittgenstein's Nachlass, showing that if different uses of ‘presupposition’ are understood in terms of de re and de dicto knowledge, Wittgenstein's argument against the Frege-Russell definition (...)
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  11. Hilary Putnam (1996). On Wittgenstein's Philosophy of Mathematics. Aristotelian Society Supplementary Volume 70 (70):243-264.score: 1290.0
  12. V. H. Klenk (1976). Wittgenstein's Philosophy of Mathematics. Nijhoff.score: 1290.0
  13. Steve Gerrard (1991). Wittgenstein's Philosophies of Mathematics. Synthese 87 (1):125-142.score: 1284.0
    Wittgenstein's philosophy of mathematics has long been notorious. Part of the problem is that it has not been recognized that Wittgenstein, in fact, had two chief post-Tractatus conceptions of mathematics. I have labelled these the calculus conception and the language-game conception. The calculus conception forms a distinct middle period. The goal of my article is to provide a new framework for examining Wittgenstein's philosophies of mathematics and the evolution of his career as a whole. (...)
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  14. Carlo Penco (1994). Dummett and Wittgenstein's Philosophy of Mathematics. In. In Brian McGuiness & Gianluigi Oliveri (eds.), The Philosophy of Michael Dummett. Kluwer. 113--136.score: 1236.0
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  15. Michael Dummett (1997). Wittgenstein's Philosophy of Mathematics. Journal of Philosophy 94 (7):166--85.score: 1230.0
  16. Victor Rodych, Wittgenstein's Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.score: 1230.0
  17. Sorin Bangu (2012). Later Wittgenstein's Philosophy of Mathematics. In J. Feiser & B. Dowden (eds.), Internet Encyclopedia of Philosophy.score: 1230.0
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  18. Reuben Louis Goodstein (1972). Wittgenstein's Philosophy of Mathematics'. In Alice Ambrose & Morris Lazerowitz (eds.), Ludwig Wittgenstein: Philosophy and Language. George Allen and Unwin (London), Humanities Press (New York).score: 1230.0
     
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  19. Mauro Engelmann (2010). As Filosofias da Matemática de Wittgenstein: Intensionalismo Sistêmico e a Aplicação de um Novo Método (Sobre o Desenvolvimento da Filosofia da Matemática de Wittgenstein). Doispontos 6 (2).score: 1215.0
    This essay intends to identify intentionalism (infinity given by rules, not by extensions) and the idea of multiple complete mathematical systems (several “mathematics”) as the central characteristics of Wittgenstein’s philosophy of mathematics. We intend to roughly show how these ideas come up, interact to each other, how they develop and, in the end, how they are abandoned in the late period. According to the Tractatus Logico-Philosophicus, infinities can only be given by rules and there is a single (...)
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  20. Michael Dummett (1959). Wittgenstein's Philosophy of Mathematics. Philosophical Review 68 (3):324-348.score: 1200.0
  21. James Conant (1997). On Wittgenstein's Philosophy of Mathematics. Proceedings of the Aristotelian Society 97 (2):195–222.score: 1185.0
  22. Barry Stroud (1979). Wittgenstein's Philosophy of Mathematics. International Studies in Philosophy 11:235-236.score: 1185.0
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  23. Ray Monk (1995). Full-Blooded Bolshevism: Wittgenstein's Philosophy of Mathematics. Wittgenstein Studien 2 (1).score: 1185.0
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  24. Esther Ramharter (2009). Christine Redecker. Wittgensteins Philosophie der Mathematik: Eine Neubewertung Im Ausgang Von der Kritik an Cantors Beweis der Überabzählbarkeit der Reellen Zahlen. [Wittgenstein's Philosophy of Mathematics: A Reassessment Starting From the Critique of Cantor's Proof of the Uncountability of the Real Numbers]. Philosophia Mathematica 17 (3):382-392.score: 1170.0
  25. Victor Rodych (1995). Review of P. Frascolla, Wittgenstein's Philosophy of Mathematics. [REVIEW] Philosophia Mathematica 3 (3).score: 1170.0
  26. Michael Wrigley (1977). Wittgenstein's Philosophy of Mathematics. Philosophical Quarterly 27 (106):50-59.score: 1170.0
  27. Hans Johann Glock (1997). Review of P. Frascola, Wittgenstein's Philosophy of Mathematics. [REVIEW] Philosophical Quarterly 47 (189):552-555.score: 1170.0
  28. Pïeranna Garavaso (1991). Anti-Realism and Objectivity in Wittgenstein's Philosophy of Mathematics. Philosophica 48.score: 1170.0
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  29. L. Goldstein (1996). Pasquale Frascolla, Wittgenstein's Philosophy of Mathematics. Philosophical Investigations 19:337-341.score: 1170.0
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  30. Shelley Stillwell (1989). Book Review: S. G. Shanker. Wittgenstein and the Turning Point in the Philosophy of Mathematics. [REVIEW] Notre Dame Journal of Formal Logic 30 (4):629-645.score: 1167.0
  31. Mark Steiner (1989). Review: S. G. Shanker, Wittgenstein and the Turing-Point in the Philosophy of Mathematics. [REVIEW] Journal of Symbolic Logic 54 (3):1098-1100.score: 1167.0
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  32. Ian Hacking (2011). Why is There Philosophy of Mathematics AT ALL? South African Journal of Philosophy 30 (1):1-15.score: 1161.0
    Mathematics plays an inordinate role in the work of many of famous Western philosophers, from the time of Plato, through Husserl and Wittgenstein, and even to the present. Why? This paper points to the experience of learning or making mathematics, with an emphasis on proof. It distinguishes two sources of the perennial impact of mathematics on philosophy. They are classified as Ancient and Enlightenment. Plato is emblematic of the former, and Kant of the latter. The Ancient (...)
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  33. Claire Hill (2002). W. Demopoulos (Ed.), Frege's Philosophy of Mathematics, and W. W. Tait (Ed.), Early Analytic Philosophy, Frege, Russell, Wittgenstein, Essays in Honor of Leonard Linsky. [REVIEW] Synthese 133 (3):441-452.score: 1161.0
  34. Marc A. Joseph (1998). Wittgenstein's Philosophy of Arithmetic. Dialogue 37 (01):83-.score: 1146.0
    It is argued that the finitist interpretation of wittgenstein fails to take seriously his claim that philosophy is a descriptive activity. Wittgenstein's concentration on relatively simple mathematical examples is not to be explained in terms of finitism, But rather in terms of the fact that with them the central philosophical task of a clear 'ubersicht' of its subject matter is more tractable than with more complex mathematics. Other aspects of wittgenstein's philosophy of mathematics are (...)
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  35. Juliet Floyd (2004). Wittgenstein on Philosophy of Logic and Mathematics. Graduate Faculty Philosophy Journal 25 (2):227-287.score: 1143.0
    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, necessity and sense. Vienna positivists took this to place analysis of meaning at the heart (...)
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  36. Ludwig Wittgenstein (1975/1989). Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939: From the Notes of R.G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. University of Chicago Press.score: 1014.0
    From his return to Cambridge in 1929 to his death in 1951, Wittgenstein influenced philosophy almost exclusively through teaching and discussion. These lecture notes indicate what he considered to be salient features of his thinking in this period of his life.
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  37. Ionel Narita (2010). Epistemologia Tractatus-ului/ The Epistemology of Wittgenstein's Tractatus. Journal for the Study of Religions and Ideologies 4 (10):126-132.score: 972.0
    Wittgenstein accepts the linguistic hypothesis about science according which science is the corpus of significant propositions. The epistemological problem can be divided into the problem of demarcation and the problem of justification. The answer to the demarcation problem consists in a criterion for significant propositions. Wittgenstein proposes a syntactical criterion. A proposition has sense if it is composed of elementary propositions and logical operators. The domains that contain senseless propo- sitions must be excluded from the scientific field. Wittgenstein’s solution to (...)
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  38. Mathieu Marion (1998). Wittgenstein, Finitism, and the Foundations of Mathematics. Oxford University Press.score: 933.0
    This pioneering book demonstrates the crucial importance of Wittgenstein's philosophy of mathematics to his philosophy as a whole. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the (...)
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  39. Stuart Shanker (ed.) (1996). Philosophy of Science, Logic, and Mathematics in the Twentieth Century. Routledge.score: 924.0
    Volume 9 of the Routledge History of Philosophy surveys ten key topics in the Philosophy of Science, Logic and Mathematics in the Twentieth Century. Each article is written by one of the world's leading experts in that field. The papers provide a comprehensive introduction to the subject in question, and are written in a way that is accessible to philosophy undergraduates and to those outside of philosophy who are interested in these subjects. Each chapter contains (...)
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  40. P. M. S. Hacker, The Relevance of Wittgenstein's Philosophy of Psychology to The.score: 912.0
    Th e con fusion a nd b arren ness o f psycho logy is no t to be e xplain ed b y calling it a “yo ung science”; its state is not comparable with that of physics, for instance, in its beginnings. (Rather with that of certain branches of mathematics. Set theory.) For in psychology there are experimental methods and conceptual confusion. (As in the oth er case, con cep tual co nfusion and m ethod s of pro (...)
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  41. Marie McGinn (2006/2009). Elucidating the Tractatus: Wittgenstein's Early Philosophy of Logic and Language. Oxford University Press.score: 908.8
    Discussion of Wittgenstein's Tractatus is currently dominated by two opposing interpretations of the work: a metaphysical or realist reading and the 'resolute' reading of Diamond and Conant. Marie McGinn's principal aim in this book is to develop an alternative interpretative line, which rejects the idea, central to the metaphysical reading, that Wittgenstein sets out to ground the logic of our language in features of an independently constituted reality, but which allows that he aims to provide positive philosophical insights into (...)
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  42. Jeff Stickney (2008). Training and Mastery of Techniques in Wittgenstein's Later Philosophy: A Response to Michael Luntley. Educational Philosophy and Theory 40 (5):678-694.score: 897.6
    Responding to Michael Luntley's article, 'Learning, Empowerment and Judgement', the author shows he cannot successfully make the following three moves: (1) dissolve the analytic distinction between learning by training and learning by reasoning, while advocating the latter; (2) diminish the role of training in Wittgenstein's philosophy, nor attribute to him a rationalist model of learning; and (3) turn to empirical research as a way of solving the philosophical problems he addresses through Wittgenstein. Drawing on José Medina's analysis of (...)
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  43. Charles Sayward (2005). A Wittgensteinian Philosophy of Mathematics. Logic and Logical Philosophy 15 (2):55-69.score: 861.0
    Three theses are gleaned from Wittgenstein’s writing. First, extra-mathematical uses of mathematical expressions are not referential uses. Second, the senses of the expressions of pure mathematics are to be found in their uses outside of mathematics. Third, mathematical truth is fixed by mathematical proof. These theses are defended. The philosophy of mathematics defined by the three theses is compared with realism, nominalism, and formalism.
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  44. Malcolm Budd (1989). Wittgenstein's Philosophy of Psychology. Routledge.score: 828.0
    I INTRODUCTION WITTGENSTEIN'S CONCEPTION OF THE PHILOSOPHY OF PSYCHOLOGY What did Wittgenstein understand by the philosophy of psychology? ...
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  45. Danièle Moyal-Sharrock (ed.) (2007). Perspicuous Presentations: Essays on Wittgenstein's Philosophy of Psychology. Palgrave Macmillan.score: 825.6
    This anthology focuses on the extraordinary contributions Wittgenstein made to several areas in the philosophy of psychology - contributions that extend to psychology, psychiatry, sociology and anthropology. To bring them a richly-deserved attention from across the language barrier, Danièle Moyal-Sharrock has translated papers by eminent French Wittgensteinians. They here join ranks with more familiar renowned specialists on Wittgenstein's philosophical psychology. While revealing differences in approach and interests, this coming together of some of the best minds on the subject (...)
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  46. S. G. Shanker (ed.) (2003). Routledge History of Philosophy Volume Ix: Philosophy of the English-Speaking World in the Twentieth Century 1: Science, Logic and Mathematics. Routledge.score: 819.0
    Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus ; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics (...)
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  47. Mikel Burley (2010). Is There a Tension in Wittgenstein's Philosophy of Religion? Heythrop Journal 51 (6):1000-1010.score: 806.4
    This paper responds to Severin Schroeder's recent charge that Wittgenstein's philosophy of religion contains an ‘unresolved tension’ between three propositions, namely: (1) ‘As a hypothesis, God's existence (&c) is extremely implausible’; (2) ‘Christian faith is not unreasonable’; and (3) ‘Christian faith does involve belief in God's existence (&c)’. I argue as follows: that the first of these propositions has no place in Wittgenstein's thinking on religion; that the second is ill-phrased and should be re-worded as the proposition (...)
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  48. David Pears (2002). Literalism and Imagination: Wittgenstein's Deconstruction of Traditional Philosophy. International Journal of Philosophical Studies 10 (1):3 – 16.score: 806.4
    In his later philosophy, Wittgenstein unlike Russell offers no theories, because he believes that philosophical theories are never explanatory. They try to imitate scientific theories, but they lack the empirical basis that gives science its explanatory power. Two examples of his deconstructive work are discussed. One is his critique of the theory that the direct objects of perception are always sense-data, describable in a radically private language. Austin too criticized the theory of sense-data, but Wittgenstein's critique, unlike Austin's, (...)
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  49. Ashok Vohra (2014). Wittgenstein's Philosophy of Mind (Routledge Revivals). Routledge.score: 806.4
    Philosophers since Descartes have felt themselves compelled to make a choice between mind and body. Wittgenstein’s Philosophy of Mind , first published in 1986, argues that there is no genuine epistemological problem of mind, and that the widespread philosophical scepticism with regard to our knowledge of other minds is without foundation. Ashok Vohra applies Wittgenstein’s method to show that the problem has arisen through a tendency to over-philosophise our simple experiences. Vohra presents a positive account of Wittgenstein’s philosophy (...)
     
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  50. G. Kreisel (1958). Wittgenstein's Remarks on the Foundations of Mathematics. [REVIEW] British Journal for the Philosophy of Science 9 (34):135-158.score: 804.0
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