The Foundations of Arithmetic (redirect from Die Grundlagen der Arithmetik)
The Foundations of Arithmetic (German: Die Grundlagen der Arithmetik) is a book by Gottlob Frege, published in 1884, which investigates the philosophical...
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in his 1884 Die Grundlagen der Arithmetik (The Foundations of Arithmetic) and proven more formally in his 1893 Grundgesetze der Arithmetik I (Basic Laws...
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Foundations of Arithmetic (Die Grundlagen der Arithmetik, 1884). Later, in his Basic Laws of Arithmetic (Grundgesetze der Arithmetik, vol. 1, 1893; vol. 2...
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Begriffsschrift. Verlag Louis Neuert. Frege, Gottlob (1884). Die Grundlagen der Arithmetik (PDF). Breslau: Wilhelm Kobner. Archived from the original (PDF)...
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University Press. ISBN 978-0-691-18706-8. Frege, Gottlob (1884). Die Grundlagen der Arithmetik: Eine logisch mathematische Untersuchung [The Foundations of...
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1976. Frege, Gottlob (1884), Die Grundlagen der Arithmetik: eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: W. Koebner. Translation:...
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Cantor introduces the Cantor function. Gottlob Frege publishes Die Grundlagen der Arithmetik ("The Foundations of Arithmetic") presenting a theory of logicism...
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not the first writer to suggest this. In his pioneering work Die Grundlagen der Arithmetik (The Foundations of Arithmetic), sections 15–17, he acknowledges...
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Gewißheit der Erkenntniss. (1873), and Gottlob Frege in his book Die Grundlagen der Arithmetik (1884). In contemporary philosophy, foundationalism has been...
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criticized Frege for having confused concept and object in his Die Grundlagen der Arithmetik and in Begriffsschrift. Frege responded to a number of aspects...
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were first identified by David Hilbert and Paul Bernays in their Grundlagen der Arithmetik. The unclear status of the Second Theorem was noted for several...
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der Wissenschaft, 1910. Die Grundlagen der angewandten Geometrie, Leipzig, 1911 / Die Grundlagen der Geometrie, Stuttgart, 1933. Die Grundlagen der Naturphilosophie...
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Mathematische Annalen 63 (1907) 217-221. Neue Grundlagen der Logik, Arithmetik und Mengenlehre, Leipzig 1914. Brockhaus: Die Enzyklopädie, 20th ed. vol. 12, Leipzig...
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"Grundzüge der Mathematik für Lehrer an Gymnasien sowie für Mathematiker in Industrie und Wirtschaft. Band I: Grundlagen der Mathematik, Arithmetik und Algebra...
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automorphic functions. In 1893 in Chicago, his paper Die Theorie der automorphen Functionen und die Arithmetik was read (but not by Fricke) at the International...
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Begriff der Zahl (On the Concept of Number) in 1887, which would serve later as the basis for his first important work, Philosophie der Arithmetik (1891)...
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de logique formelle. Hilbert, D. (1905) [1904]. "Über die Grundlagen der Logik und der Arithmetik". In Krazer, K. (ed.). Verhandlungen des Dritten Internationalen...
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289–299. MR 0124194. Skolem, Thoralf (1923). "Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbarer Veränderlichen...
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1746-8361.1958.tb01464.x. Grassmann, Hermann Günther (1861). Lehrbuch der Arithmetik für höhere Lehranstalten. Verlag von Theod. Chr. Fr. Enslin. Gray, Jeremy...
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Bachmann, P. (1898). Die Arithmetik der quadratischen Formen. Erste Abtheilung. Leipzig: B.G. Teubner. Bachmann, P. (1923). Die Arithmetik der quadratischen...
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