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...
15 KB (1,991 words) - 18:13, 27 October 2024
in his 1884 Die Grundlagen der Arithmetik (The Foundations of Arithmetic) and proven more formally in his 1893 Grundgesetze der Arithmetik I (Basic Laws...
7 KB (678 words) - 00:20, 14 October 2024
Foundations of Arithmetic (Die Grundlagen der Arithmetik, 1884). Later, in his Basic Laws of Arithmetic (Grundgesetze der Arithmetik, vol. 1, 1893; vol. 2...
48 KB (5,361 words) - 07:39, 30 October 2024
Begriffsschrift. Verlag Louis Neuert. Frege, Gottlob (1884). Die Grundlagen der Arithmetik (PDF). Breslau: Wilhelm Kobner. Archived from the original (PDF)...
29 KB (2,945 words) - 22:08, 9 August 2024
University Press. ISBN 978-0-691-18706-8. Frege, Gottlob (1884). Die Grundlagen der Arithmetik: Eine logisch mathematische Untersuchung [The Foundations of...
7 KB (769 words) - 12:23, 30 November 2023
1976. Frege, Gottlob (1884), Die Grundlagen der Arithmetik: eine logisch-mathematische Untersuchung über den Begriff der Zahl. Breslau: W. Koebner. Translation:...
68 KB (8,331 words) - 20:24, 9 September 2024
Cantor introduces the Cantor function. Gottlob Frege publishes Die Grundlagen der Arithmetik ("The Foundations of Arithmetic") presenting a theory of logicism...
12 KB (1,163 words) - 17:00, 16 June 2024
not the first writer to suggest this. In his pioneering work Die Grundlagen der Arithmetik (The Foundations of Arithmetic), sections 15–17, he acknowledges...
102 KB (13,265 words) - 23:10, 16 September 2024
Gewißheit der Erkenntniss. (1873), and Gottlob Frege in his book Die Grundlagen der Arithmetik (1884). In contemporary philosophy, foundationalism has been...
19 KB (2,309 words) - 19:22, 20 August 2024
criticized Frege for having confused concept and object in his Die Grundlagen der Arithmetik and in Begriffsschrift. Frege responded to a number of aspects...
7 KB (762 words) - 02:13, 14 October 2024
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...
19 KB (2,176 words) - 18:16, 30 August 2024
der Wissenschaft, 1910. Die Grundlagen der angewandten Geometrie, Leipzig, 1911 / Die Grundlagen der Geometrie, Stuttgart, 1933. Die Grundlagen der Naturphilosophie...
9 KB (1,025 words) - 03:55, 13 April 2024
Mathematische Annalen 63 (1907) 217-221. Neue Grundlagen der Logik, Arithmetik und Mengenlehre, Leipzig 1914. Brockhaus: Die Enzyklopädie, 20th ed. vol. 12, Leipzig...
11 KB (1,315 words) - 07:53, 10 July 2023
"Grundzüge der Mathematik für Lehrer an Gymnasien sowie für Mathematiker in Industrie und Wirtschaft. Band I: Grundlagen der Mathematik, Arithmetik und Algebra...
9 KB (788 words) - 23:43, 26 October 2024
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...
7 KB (533 words) - 18:46, 25 October 2024
de logique formelle. Hilbert, D. (1905) [1904]. "Über die Grundlagen der Logik und der Arithmetik". In Krazer, K. (ed.). Verhandlungen des Dritten Internationalen...
34 KB (3,222 words) - 12:56, 28 October 2024
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)...
100 KB (12,406 words) - 17:19, 21 October 2024
289–299. MR 0124194. Skolem, Thoralf (1923). "Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbarer Veränderlichen...
9 KB (1,316 words) - 12:53, 21 February 2024
1746-8361.1958.tb01464.x. Grassmann, Hermann Günther (1861). Lehrbuch der Arithmetik für höhere Lehranstalten. Verlag von Theod. Chr. Fr. Enslin. Gray, Jeremy...
48 KB (6,428 words) - 10:51, 21 October 2024
Bachmann, P. (1898). Die Arithmetik der quadratischen Formen. Erste Abtheilung. Leipzig: B.G. Teubner. Bachmann, P. (1923). Die Arithmetik der quadratischen...
96 KB (15,389 words) - 08:27, 2 November 2024