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Wittgensteins Aufzeichnungen zur Mathematik erscheinen fragmentarisch, sind jedoch erstaunlich tiefgründig, präzise und kohärent. Sie erlauben daher weitreichende Einblicke in seine grundlegende philosophische Denkweise. Ausgehend von Wittgensteins Kritik an Cantors Diagonalbeweis und seiner Einschätzung reeller Zahlen wird in der vorliegenden Arbeit Wittgensteins Philosophie der Mathematik einer Neubewertung zugeführt. Es wird dargelegt, dass seine Einwände gegen den Diagonalbeweis weder so unbegründet sind, wie ihm seine Gegner vorwerfen, noch so diplomatisch, wie seinen Verteidigern lieb wäre. Vielmehr illustrieren sie die konstruktivistischen, konventionalistischen und revisionistischen Züge seiner Philosophie der Mathematik.
Transfinite numbers. --- Mathematics --- Philosophy. --- Wittgenstein, Ludwig, --- Contributions in mathematics.
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Logicians --- -Logicians --- -Metamathematics --- Godel, Kurt --- Godel, Kurt --- -Contributions in mathematics
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Mathematics, Greek --- Mathematics --- Mathématiques grecques --- Mathématiques --- Philosophy --- Philosophie --- Plato --- Aristotle --- Contributions in mathematics. --- Contributions in mathematics --- Mathématiques grecques --- Mathématiques
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Mathematics --- Mathématiques --- Philosophy --- Philosophie --- Wittgenstein, Ludwig, --- Contributions in mathematics. --- Philosophy. --- Mathématiques --- Wittgenstein, Ludwig --- Contributions in philosophy of mathematics --- Mathematics - Philosophy.
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Probabilities --- Knowledge, Theory of --- Probabilités --- Théorie de la connaissance --- History --- Histoire --- Pascal, Blaise, --- Pascal, Blaise, --- Pascal, --- Contributions in mathematics. --- Et les mathématiques
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Mathematical logic --- Theory of knowledge --- Husserl, Edmund --- Frege, Gottlob --- Husserl, Edmund, --- Frege, Gottlob, --- -Contributions in mathematics --- -Husserl, Edmund --- Husserl, Edmond --- Contributions in mathematics --- Frege, G. --- Fu-lei-ko, --- Frege, Friedrich Gottlob, --- פרגה, גוטלוב, --- Frege, Friedrich Ludwig Gottlob, --- Husserl, Edmund, - 1859-1938 --- Frege, Gottlob, - 1848-1925
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Mathematics --- Plato --- Philosophy --- -Math --- Science --- -Aflāṭūn --- Aplaton --- Bolatu --- Platon, --- Platonas --- Platone --- Po-la-tʻu --- Pʻŭllatʻo --- Pʻŭllatʻon --- Pʻuratʻon --- Πλάτων --- אפלטון --- פלאטא --- פלאטאן --- פלאטו --- أفلاطون --- 柏拉圖 --- 플라톤 --- Contributions in mathematics --- Philosophy. --- Plato. --- -Philosophy --- -Contributions in mathematics --- Logic of mathematics --- Mathematics, Logic of --- Aflāṭūn --- Platon --- Platoon --- Платон --- プラトン --- Mathematics - Philosophy
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Mathematicians --- Mathématiciens --- History --- Histoire --- Descartes, René, --- Pascal, Blaise, --- Fermat, Pierre de, --- Contributions in mathematics --- Mathematics --- Mathématiciens --- Descartes, René, --- Contributions in mathematics. --- Pascal, Blaise --- Descartes, René --- Fermat, Pierre de --- Critique et interprétation --- Descartes, René --- Critique et interprétation --- Mathematicians - France - History - 17th century --- Mathematicians - France - Biography --- Mathematics - France - History - 17th century --- Critique et interprétation.
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Pythagoras and Pythagorean school --- Philosophy, Ancient --- Plato --- -Plato --- -Aflāṭūn --- Aplaton --- Bolatu --- Platon, --- Platonas --- Platone --- Po-la-tʻu --- Pʻŭllatʻo --- Pʻŭllatʻon --- Pʻuratʻon --- Πλάτων --- אפלטון --- פלאטא --- פלאטאן --- פלאטו --- أفلاطون --- 柏拉圖 --- 플라톤 --- Contributions in mathematics --- Contributions in music --- -Contributions in mathematics --- Plato. --- Aflāṭūn --- Platon --- Platoon --- Платон --- プラトン
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Pascal, Blaise --- Literature and science --- French language --- Littérature et sciences --- Français (Langue) --- Rhetoric --- Rhétorique --- Pascal, Blaise, --- Literary style --- Mathematics and literature --- Contributions in mathematics. --- Littérature et sciences --- Français (Langue) --- Rhétorique --- Literary style. --- Pascal, Blaise, - 1623-1662
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