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Entailments and the Maximal Mesh

In: Learning Spaces

Author

Listed:
  • Jean-Claude Falmagne

    (University of California, Irvine, Department of Cognitive Sciences, Institute of Mathematical Behavioral Sciences)

  • Jean-Paul Doignon

    (Université Libre de Bruxelles, Département de Mathématique)

Abstract

In practice, how can we build a knowledge structure for a specific body of information? The first step is to select the items forming a domain Q. For real-life applications, we will typically assume this domain to be finite. The second step is then to construct a list of all the subsets of Q that are feasible knowledge states, in the sense that anyone of them could conceivably occur in the population of reference. To secure such a list, we could in principle rely on one or more experts in the particular body of information. However, if no assumption is made on the structure to be uncovered, the only exact method consists in the presentation of all subsets of Q to the expert, so that he can point out the states.

Suggested Citation

  • Jean-Claude Falmagne & Jean-Paul Doignon, 2011. "Entailments and the Maximal Mesh," Springer Books, in: Learning Spaces, chapter 7, pages 119-131, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01039-2_7
    DOI: 10.1007/978-3-642-01039-2_7
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