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

Igor Vajda; Arnost Vesely; Jana Zvarova

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 2, page 275-283
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topVajda, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.