Continuum hypothesis as a model-theoretical problem
|Abstract||Jaakko Hintikka 1. How to Study Set Theory The continuum hypothesis (CH) is crucial in the core area of set theory, viz. in the theory of the hierarchies of infinite cardinal and infinite ordinal numbers. It is crucial in that it would, if true, help to relate the two hierarchies to each other. It says that the second infinite cardinal number, which is known to be the cardinality of the first uncountable ordinal, equals the cardinality 2 o of the continuum. (Here o is the smallest infinite cardinal.).|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|External links||This entry has no external links. Add one.|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Robert S. Wolf (1985). Determinateness of Certain Almost-Borel Games. Journal of Symbolic Logic 50 (3):569-579.
Benjamin R. George (2006). Second-Order Characterizable Cardinals and Ordinals. Studia Logica 84 (3):425 - 449.
Kai Hauser (2002). Is Cantor's Continuum Problem Inherently Vague? Philosophia Mathematica 10 (3):257-285.
Gregory H. Moore (2011). Early History of the Generalized Continuum Hypothesis: 1878—1938. Bulletin of Symbolic Logic 17 (4):489-532.
Paul J. Cohen (1966). Set Theory and the Continuum Hypothesis. New York, W. A. Benjamin.
Ali Enayat (2001). Power-Like Models of Set Theory. Journal of Symbolic Logic 66 (4):1766-1782.
Richard Schlegel (1965). The Problem of Infinite Matter in Steady-State Cosmology. Philosophy of Science 32 (1):21-31.
Added to index2010-02-11
Total downloads37 ( #36,918 of 722,764 )
Recent downloads (6 months)0
How can I increase my downloads?