17 Logic

The application of mathematical analysis and deductive reasoning to propositions that may be true or false owes much to the work of George Boole in 1847. He formulated a system that could be applied to the relationships between propositions to which only a binary choice of truth existed. The first application of the Boolean algebra that derived from this was Shannon’s research into the analysis of relay switching circuits in 1938. Although now used extensively in communications, the concept also finds applications in fluidic control systems.

17.1 Boolean logic

This algebra, which behaves mathematically in many ways similar to the algebra of conventional mathematics, allows statements or propositions to be either true or false; no varying ...

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