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ISIPTA'07 -
FIFTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

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Charles University, Faculty of Mathematicsand Physics

Prague, Czech Republic

16-19 July 2007

## ELECTRONIC PROCEEDINGS

## Kurt Weichselberger

# The Logical Concept of Probability: Foundation and Interpretation

### Abstract

The Logical concept of probability, introduced to ISIPTA 2005 in a tutorial ([3]), is based on the theory of Interval probability. Since the main feature of the Logical concept is given by the evaluation of arguments consisting of premises and conclusions, it proves necessary to define exactly which kinds of propositions can be employed hereby. If this is done, the analysis allows the definition of independent arguments by examination of the contents of premises and conclusions. If Interval probability is attributed to arguments according to the relevant axioms, a frequency interpretation becomes feasible which decisively relies on the autonomous concept of independence.

** Keywords. ** Interval probability, evaluation of arguments, concept of independence, frequency interpretation, Symmetric theory of probability.

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Dep. of Statistics

Ludwigstr. 33

D 80539 Muenchen

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