J. Michael Dunn on Information Based Logics by Katalin Bimbó

Author:Katalin Bimbó
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Truth ordering can also be viewed as a “logical order,” because it determines the central logical notions: of logical connectives and the relation of entailment. Let be a set of propositional variables, and let . Consider language defined as follows: .

Let a valuation (4-valuation) be defined as a map from into . We have then the following definition of the truth conditions for propositional connectives:

Definition 2.3

For any A and B from ,1. ;

2. ;

3. .

Entailment relation between any can be defined as follows.

Definition 2.4

iff .

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