Continuous entropy is more subtle than the direct analogy to the discrete case he uses in the original paper, see: https://en.wikipedia.org/wiki/Differential_e

Continuous entropy is more subtle than the direct analogy to the discrete case he uses in the original paper, see: https://en.wikipedia.org/wiki/Differential_entropy https://en.wikipedia.org/wiki/Differential_entropy https://en.wikipedia.org/wiki/Limiting_density_of_discrete_points https://en.wikipedia.org/wiki/Limiting_density_of_discrete_p...