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  • belief contraction  (2)
  • Birkhoff's problem  (1)
  • Civilization, Classical.  (1)
  • Springer  (3)
  • Oxford University Press  (1)
  • American Society of Hematology
  • Deutsches GeoForschungsZentrum GFZ
  • 2000-2004  (4)
Collection
Publisher
  • Springer  (3)
  • Oxford University Press  (1)
  • American Society of Hematology
  • Deutsches GeoForschungsZentrum GFZ
Years
  • 2000-2004  (4)
Year
  • 1
    Unknown
    Oxford [England] ; New York : Oxford University Press
    American classical studies  
    Keywords: Greece, History, To 146 B.C. ; Grèce, Histoire, Jusqu'à 146 av. J.-C. ; Rome, Histoire. ; Rome, History. ; Civilisation ancienne. ; Civilization, Classical.
    Pages: xi, 151 p.
    ISBN: 0-19-518490-4
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of dynamics and differential equations 12 (2000), S. 247-271 
    ISSN: 1572-9222
    Keywords: Birkhoff's problem ; cross section ; three-body problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Dynamical Systems, Birkhoff gave a clear formulation of a cross section, suggested a possible generalization to cross sections with boundary, and raised the question of whether or not such cross sections exist in the three-body problem. In this work, we explicitly develop Birkhoff's notion of a generalized cross section, formulate homological necessary conditions for the existence of a cross section or generalized cross section, and show that these conditions are not satisfied in the three-body problem.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of logic, language and information 9 (2000), S. 237-259 
    ISSN: 1572-9583
    Keywords: belief contraction ; belief revision ; epistemic entrenchment ; power orders ; theory change
    Source: Springer Online Journal Archives 1860-2000
    Topics: Linguistics and Literary Studies , Computer Science
    Notes: Abstract Epistemic entrenchment, as presented by Gärdenfors and Makinson (1988) and Gärdenfors (1988), is a formalisation of the intuition that, when forced to choose between two beliefs, an agent will giveup the less entrenched one. While their formalisation satisfactorilycaptures the intuitive notion of the entrenchment of beliefs in a number ofaspects, the requirement that all wffs be comparable has drawn criticismfrom various quarters. We define a set of refined versions of theirentrenchment orderings that are not subject to the same criticism, andinvestigate the relationship between the refined entrenched orderings,the entrenchment orderings of Gärdenfors and Makinson, and AGM theorycontraction (Alchourrón et al., 1985). To conclude, we compare refinedentrenchment with two related approaches to epistemic entrenchment.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of logic, language and information 9 (2000), S. 353-377 
    ISSN: 1572-9583
    Keywords: base change ; base contraction ; base revision ; belief contraction ; belief revision ; iterated base change ; theory change
    Source: Springer Online Journal Archives 1860-2000
    Topics: Linguistics and Literary Studies , Computer Science
    Notes: Abstract Generalisations of theory change involving operations on arbitrary sets ofwffs instead of on belief sets (i.e., sets closed under a consequencerelation), have become known as base change. In one view, a base should bethought of as providing more structure to its generated belief set, whichmeans that it can be employed to determine the theory contraction operationassociated with a base contraction operation. In this paper we follow suchan approach as the first step in defining infobase change. We think of an infobase as a finite set of wffs consisting of independently obtainedbits of information. Taking AGM theory change (Alchourrón et al. 1985) as the general framework, we present a method that uses the structure of aninfobase B to obtain an AGM theory contraction operation for contractingthe belief set Cn(B). Both the infobase and the obtained theory contraction operation then play a role in constructing a unique infobasecontraction operation. Infobase revision is defined in terms of an analogueof the Levi Identity, and it is shown that the associated theory revisionoperation satisfies the AGM postulates for revision. Because every infobaseis associated with a unique infobase contraction and revision operation, the method also allows for iterated base change.
    Type of Medium: Electronic Resource
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