13 found
Sort by:
  1. Norbert Brunner & H. Reiju Mihara (2000). Arrow's Theorem, Weglorz'Models and the Axiom of Choice [Mathematical Logic Quarterly (2000) 46: 335-359]. Mathematical Logic Quarterly 46:335-359.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  2. Norbert Brunner & H. Reiju Mihara (2000). Arrow's Theorem, Weglorz' Models and the Axiom of Choice. Mathematical Logic Quarterly 46 (3):335-359.
    Applying Weglorz' mode s of set theory without the axiom of choice, we investigate Arrow-type social we fare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying “finite discrimination”, if and only if in Weglorz' mode there is a free ultrafilter on a set representing the individuals.
    No categories
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  3. Norbert Brunner, Karl Svozil & Matthias Baaz (1996). The Axiom of Choice in Quantum Theory. Mathematical Logic Quarterly 42 (1):319-340.
    We construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces. Here a self adjoint operator is intrinsically effective if and only if the Schrödinger equation of its generated semigroup is soluble by means of eigenfunction series expansions.
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  4. Norbert Brunner & Paul Howard (1992). Russell's Alternative to the Axiom of Choice. Mathematical Logic Quarterly 38 (1):529-534.
    We prove the independence of some weakenings of the axiom of choice related to the question if the unions of wellorderable families of wellordered sets are wellorderable.
    No categories
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  5. Norbert Brunner (1990). The Frαenkel-ΛΛostowski Method, Revisited. Notre Dame Journal of Formal Logic 31 (1):64-75.
    Direct download  
     
    My bibliography  
     
    Export citation  
  6. Norbert Brunner (1989). Set-Mappings on Dedekind Sets. Notre Dame Journal of Formal Logic 30 (2):268-270.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  7. Norbert Brunner (1989). The Fraenkel-Mostowski Method, Revisited. Notre Dame Journal of Formal Logic 31 (1):64-75.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  8. Norbert Brunner (1987). Garnir's Dream Spaces with Hamel Bases. Archive for Mathematical Logic 26 (1):123-126.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  9. Norbert Brunner (1987). Topologische Maximalprinzipien. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (2):135-139.
    No categories
    Translate to English
    | Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  10. Norbert Brunner (1985). Products of Compact Spaces in the Least Permutation Model. Mathematical Logic Quarterly 31 (25‐28):441-448.
    No categories
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  11. Norbert Brunner (1983). Kategoriesätze und multiples auswahlaxiom. Mathematical Logic Quarterly 29 (8):435-443.
    No categories
    Translate to English
    | Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  12. Norbert Brunner (1983). Sequential Compactness and the Axiom of Choice. Notre Dame Journal of Formal Logic 24 (1):89-92.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  13. Norbert Brunner (1983). The Axiom of Choice in Topology. Notre Dame Journal of Formal Logic 24 (3):305-317.