Inquiry calculus and the issue of negative higher order informations

Inquiry calculus and the issue of negative higher order informations

van Erp, H.R.N. (TU Delft Safety and Security Science)
Linger, R.O. (TU Delft Safety and Security Science)
van Gelder, P.H.A.J.M. (TU Delft Safety and Security Science)

2017

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

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

http://resolver.tudelft.nl/uuid:288386e0-9654-4000-9fce-8464df32df3f

https://doi.org/10.3390/e19110622

1099-4300

Entropy: international and interdisciplinary journal of entropy and information studies, 19 (11), 1-25

Institutional Repository

journal article

© 2017 H.R.N. van Erp, R.O. Linger, P.H.A.J.M. van Gelder