http://www.survivor99.com/lcg/information/CARNAP-HILLEL.pdf

Written in the wake of Shannon’s Information Theory or Mathematical Theory of Communication (MTC), this technical report is one of the first established works on information in philosophy. Whereas MTC is a syntactic treatment of information, concerned with the technical engineering aspects of transmitting/communicating information and neglecting the semantic aspects, Bar-Hillel and Carnap sought to develop a quantitative account of semantic information.

The journal article ‘Semantic Information’ provides a shorter overview of this work: http://hum.uchicago.edu/~jagoldsm/Courses/2008HistoryOfLx/barhillelCarnap.pdf