The Axiomatization of Randomness
Journal of Symbolic Logic 55 (3):1143 - 1167 (1990)
| Abstract | We present a faithful axiomatization of von Mises' notion of a random sequence, using an abstract independence relation. A byproduct is a quantifier elimination theorem for Friedman's "almost all" quantifier in terms of this independence relation. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | No categories specified (fix it) | |||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,709 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesMichiel van Lambalgen (1990). The Axiomatization of Randomness. Journal of Symbolic Logic 55 (3):1143-1167.
Johanna N. Y. Franklin & Frank Stephan (2010). Van Lambalgen's Theorem and High Degrees. Notre Dame Journal of Formal Logic 52 (2):173-185.
Michiel Van Lambalgen (1992). Independence, Randomness and the Axiom of Choice. Journal of Symbolic Logic 57 (4):1274 - 1304.
Michiel Van Lambalgen (1987). Von Mises' Definition of Random Sequences Reconsidered. Journal of Symbolic Logic 52 (3):725 - 755.
Michiel van Lambalgen (1992). Independence, Randomness and the Axiom of Choice. Journal of Symbolic Logic 57 (4):1274-1304.
Kenshi Miyabe (2010). An Extension of van Lambalgen's Theorem to Infinitely Many Relative 1-Random Reals. Notre Dame Journal of Formal Logic 51 (3):337-349.
Joseph Berkovitz, Roman Frigg & Fred Kronz (2006). The Ergodic Hierarchy, Randomness and Hamiltonian Chaos☆. Studies in History and Philosophy of Science Part B 37 (4):661-691.
Roman Frigg (2006). The Ergodic Hierarchy, Randomness and Hamiltonian Chaos. Studies in History and Philosophy of Science Part B 37 (4):661-691.
Roger D. Maddux (1991). The Origin of Relation Algebras in the Development and Axiomatization of the Calculus of Relations. Studia Logica 50 (3-4):421 - 455.
Antony Eagle, Chance Versus Randomness. Stanford Encyclopedia of Philosophy.
Rodney G. Downey & Evan J. Griffiths (2004). Schnorr Randomness. Journal of Symbolic Logic 69 (2):533 - 554.
Mark Reynolds (1992). An Axiomatization for Until and Since Over the Reals Without the IRR Rule. Studia Logica 51 (2):165 - 193.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2011-05-29Total downloads1 ( #275,053 of 550,802 )Recent downloads (6 months)1 ( #63,425 of 550,802 )How can I increase my downloads? |
My notes
Discussion
