4 found
Sort by:
  1. Isabella C. Burger & Johannes Heidema (2005). For Better, for Worse: Comparative Orderings on States and Theories. Poznan Studies in the Philosophy of the Sciences and the Humanities 83 (1):459-488.
    In logic, including the designer logics of artificial intelligence, and in the philosophy of science, one is often concerned with qualitative, comparative orderings on the states of a system, or on theories expressing information about the system. States may be compared with respect to normality, or some preference criterium, or similarity to some given (set of) state(s). Theories may be compared with respect to logical power, or to truthlikeness, or to how well they capture certain information. We explain a number (...)
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  2. Isabella C. Burger & Johannes Heidema (2002). Degrees of Abductive Boldness. In L. Magnani, N. J. Nersessian & C. Pizzi (eds.), Logical and Computational Aspects of Model-Based Reasoning. Kluwer Academic Publishers. 163--180.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  3. Isabella Cornelia Burger & Johannes Heidema (2002). Merging Inference and Conjecture by Information. Synthese 131 (2):223 - 258.
    The intuitive notion of a binary relation on information-bearers, comparingthem with respect to their closeness to the available information, is oftenconstrued in terms of comparing their symmetric difference with, orcompositional similarity to, the available information. This happens forinstance in some treatments of verisimilitude. We expound an abstractmathematical rendering of the relevant data-dependent relation in theframework of Boolean algebras. For every element t of a Boolean algebra B we construct the t-modulated Boolean algebra Btin which the order relation represents `is at (...)
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  4. Isabella C. Burger & Johannes Heidema (1994). Comparing Theories by Their Positive and Negative Contents. British Journal for the Philosophy of Science 45 (2):605-630.
    relative to the actual world) of a propositional theory are defined. A theory is ‘closer to the truth’ the logically stronger its positive content and the logically weaker its negative content. This proposal delivers the same verisimilar preordering of theories that has been defined by Brink and Heidema as a ‘power ordering’. The preordering may be collapsed to a partial ordering and then embedded into a complete distributive lattice. The preordering may also be refined to a partial ordering by employing (...)
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation