Independence, Randomness and the Axiom of Choice

Journal of Symbolic Logic 57 (4):1274 - 1304 (1992)
Abstract
We investigate various ways of introducing axioms for randomness in set theory. The results show that these axioms, when added to ZF, imply the failure of AC. But the axiom of extensionality plays an essential role in the derivation, and a deeper analysis may ultimately show that randomness is incompatible with extensionality.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 9,351
External links
  • Through your library Configure
    References found in this work BETA

    No references found.

    Citations of this work BETA
    Similar books and articles
    Harvey Friedman (2000). Does Mathematics Need New Axioms? Bulletin of Symbolic Logic 6 (4):401 - 446.
    Joseph Berkovitz, Roman Frigg & Fred Kronz (2006). The Ergodic Hierarchy, Randomness and Hamiltonian Chaos. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 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.
    Michiel Van Lambalgen (1990). The Axiomatization of Randomness. Journal of Symbolic Logic 55 (3):1143 - 1167.
    Analytics

    Monthly downloads

    Sorry, there are not enough data points to plot this chart.

    Added to index

    2011-05-29

    Total downloads

    1 ( #306,128 of 1,088,378 )

    Recent downloads (6 months)

    1 ( #69,601 of 1,088,378 )

    How can I increase my downloads?

    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.