A Master’s Thesis That Changed the Logic of Computer Design
In this thesis thereafter hailed as "the most important master’s thesis of the century," Shannon pointed out that the "true/false" two-valued algebra Boole had developed a century before for pure philosophical logical reasoning happened to correspond perfectly to the combinational operation of the "on/off" states of switches in a circuit, an insight thereafter the common theoretical cornerstone of all digital-circuit and computer-logic-gate design, so that a branch of pure mathematics seemingly unrelated to engineering thereby made a profound historic convergence with electronic engineering.
Giving "Information" a Precise Unit of Measure
Before Shannon, "information" was a vague everyday concept hard to quantify precisely, and in A Mathematical Theory of Communication Shannon first gave it a rigorous mathematical definition, proposing the "bit" as the basic unit of information quantity, and proving that any communication channel, even with noise, still has a maximum reliable transmission rate impossible to break in theory yet approachable indefinitely through proper encoding — a theoretical framework thereafter profoundly shaping the design logic of almost all modern communication technology, including telephone, radio, satellite communication, and today’s internet data transmission.