Inquiry calculus and the issue of negative higher order informations

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Abstract

In this paper, we will give the derivation of an inquiry calculus, or, equivalently, a Bayesian information theory. From simple ordering follow lattices, or, equivalently, algebras. Lattices admit a quantification, or, equivalently, algebras may be extended to calculi. The general rules of quantification are the sum and chain rules. Probability theory follows from a quantification on the specific lattice of statements that has an upper context. Inquiry calculus follows from a quantification on the specific lattice of questions that has a lower context. There will be given here a relevance measure and a product rule for relevances, which, taken together with the sum rule of relevances, will allow us to perform inquiry analyses in an algorithmic manner
Original languageEnglish
Pages (from-to)1-25
Number of pages25
JournalEntropy: international and interdisciplinary journal of entropy and information studies
Volume19
Issue number11
DOIs
Publication statusPublished - 18 Nov 2017

Keywords

  • inquiry calculus
  • Bayesian
  • information theory
  • product rule
  • relevance
  • measure
  • automated inquiry
  • OA-Fund TU Delft

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