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 language | English |
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Pages (from-to) | 1-25 |
Number of pages | 25 |
Journal | Entropy: international and interdisciplinary journal of entropy and information studies |
Volume | 19 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2017 |
Keywords
- inquiry calculus
- Bayesian
- information theory
- product rule
- relevance
- measure
- automated inquiry
- OA-Fund TU Delft