Shannon paper had nothing to do with thermodynamics. Thermodynamics was a mature science by the time Shannon wrote his paper.

Shannon paper is a mathematical treatment of communications. It was the foundation of Information Theory.

Information Theory and Thermodynamics are linked by the concept of entropy which is exactly the same in Thermodynamic and in Information Theory.

S = - k ln Ω

H= - p log p

S and H are the same thing measured in different units.