Entailments and the Maximal Mesh

Jean-Claude Falmagne () and Jean-Paul Doignon ()
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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

Chapter 7 in Learning Spaces, 2011, pp 119-131 from Springer

Abstract: 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.

Keywords: Knowledge Structure; Ordinal Space; Entail Relation; Knowledge Space; Lucky Guess (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-01039-2_7

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