Early history of the Generalized Continuum Hypothesis: 1878—1938

作者: Gregory H. Moore

DOI: 10.2178/BSL/1318855631

关键词:

摘要: This paper explores how the Generalized Continuum Hypothesis (GCH) arose from Cantor's in work of Peirce, Jourdain, Hausdorff, Tarski, and GCH was used up to Godel's relative consistency result.

参考文章(73)
Gregory H. Moore, Zermelo’s Axiom of Choice Studies in the History of Mathematics and Physical Sciences. ,vol. 8, ,(1982) , 10.1007/978-1-4613-9478-5
Gregory H. Moore, Towards A History of Cantor's Continuum Problem Ideas and their Reception#R##N#Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20–24, 1989. pp. 78- 121 ,(1989) , 10.1016/B978-0-12-599661-7.50011-2
Jerome Malitz, The hanf number for complete sentences Lecture Notes in Mathematics. pp. 166- 181 ,(1968) , 10.1007/BFB0079689
W. Sierpiński, Sur une décomposition d'ensembles Monatshefte für Mathematik. ,vol. 35, pp. 239- 242 ,(1928) , 10.1007/BF01707443
Königl. Gymnasiums zu Strasburg, E. Hossenfelder, Zur Theorie der trigonometrischen Reihe Druck von B.G. Teubner. ,(1900)
Nicolas Bourbaki, Elements of Mathematics Springer Berlin Heidelberg. ,(2004) , 10.1007/978-3-642-59312-3
Günther Frei, Felix Klein, David Hilbert, Der Briefwechsel David Hilbert, Felix Klein (1886-1918) Vandenhoeck & Ruprecht. ,(1985)
Arthur Schoenflies, Die Entwickelung der Lehre von den Punktmannigfaltigkeiten. Jahresbericht Der Deutschen Mathematiker-vereinigung. ,vol. 8, pp. 1- 250 ,(1900)