The study of logic usually focuses on either the proof theoretic or the model theoretic properties of logic. Yet the pragmatics of logic is often ignored. In this paper we would like to demonstrate that a logic can be practical in the sense that it can assist us in evaluating and measuring the amount of information in an inconsistent set of data. The underlying notion of information is inspired by Shannon's communication theory. It defines the amount of information of a message in terms of the p…
Read moreThe study of logic usually focuses on either the proof theoretic or the model theoretic properties of logic. Yet the pragmatics of logic is often ignored. In this paper we would like to demonstrate that a logic can be practical in the sense that it can assist us in evaluating and measuring the amount of information in an inconsistent set of data. The underlying notion of information is inspired by Shannon's communication theory. It defines the amount of information of a message in terms of the probability of the message being true. The logic presented here is the paraconsistent logic QC. As such QC logic can be seen as an analytical tool for evaluating data