Diversity Assessment Based on a Higher Similarity-Higher Entropy Relation after Rejection of Gibbs Paradox

The diversity of the symbols of the information source is calculated following the definition that entropy is the information loss and following a new entropy-symbol similarity relation after the rejection of the Gibbs paradox statement. Diversity in a range of 0 to 1, an index similar to Shannon's redundancy, decreases with the increase in the species similarities. A pairwise similarity formula has been defined and used to demonstrated that the diversity expression gives the expected diversity. The higher entropy-higher similarity relation leads to the higher information-higher diversity relation.