On the amount of information resulting from empirical and theoretical knowledge.

Vajda, Igor, Vesely, Arnost, and Zvarova, Jana. "On the amount of information resulting from empirical and theoretical knowledge.." Revista Matemática Complutense 18.2 (2005): 275-283. <http://eudml.org/doc/38165>.

@article{Vajda2005,
abstract = {We present a mathematical model allowing formally define the concepts of empirical and theoretical knowledge. The model consists of a finite set P of predicates and a probability space (Ω, S, P) over a finite set Ω called ontology which consists of objects ω for which the predicates π ∈ P are either valid (π(ω) = 1) or not valid (π(ω) = 0). Since this is a first step in this area, our approach is as simple as possible, but still nontrivial, as it is demonstrated by examples. More realistic approach would be more complicated, based on a fuzzy logic where the predicates π ∈ P are valid on the objects ω ∈ Ω to some degree (0 ≤ π(ω) ≤ 1). We use the classical information divergence to introduce the amount of information in empirical and theoretical knowledge. By an example is demonstrated that information in theoretical knowledge is an extension of the sematic information introduced formerly by Bar Hillel and Carnap as an alternative to the information of Shannon.},
author = {Vajda, Igor, Vesely, Arnost, Zvarova, Jana},
journal = {Revista Matemática Complutense},
keywords = {Teoría de la información; Bases de conocimiento; Medidas de información; Semántica; Lógica difusa},
language = {eng},
number = {2},
pages = {275-283},
title = {On the amount of information resulting from empirical and theoretical knowledge.},
url = {http://eudml.org/doc/38165},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Vajda, Igor
AU - Vesely, Arnost
AU - Zvarova, Jana
TI - On the amount of information resulting from empirical and theoretical knowledge.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 2
SP - 275
EP - 283
AB - We present a mathematical model allowing formally define the concepts of empirical and theoretical knowledge. The model consists of a finite set P of predicates and a probability space (Ω, S, P) over a finite set Ω called ontology which consists of objects ω for which the predicates π ∈ P are either valid (π(ω) = 1) or not valid (π(ω) = 0). Since this is a first step in this area, our approach is as simple as possible, but still nontrivial, as it is demonstrated by examples. More realistic approach would be more complicated, based on a fuzzy logic where the predicates π ∈ P are valid on the objects ω ∈ Ω to some degree (0 ≤ π(ω) ≤ 1). We use the classical information divergence to introduce the amount of information in empirical and theoretical knowledge. By an example is demonstrated that information in theoretical knowledge is an extension of the sematic information introduced formerly by Bar Hillel and Carnap as an alternative to the information of Shannon.
LA - eng
KW - Teoría de la información; Bases de conocimiento; Medidas de información; Semántica; Lógica difusa
UR - http://eudml.org/doc/38165
ER -