Abstract

The paper outlines a method for introducing undergraduates (especially computer science majors) to abstract Boolean algebra and to the process of mathematical abstraction itself. The method is based on the use of a common hardware representation (the bit vector representation) for sets and truth tables as a pedagogical device to motivate the study of partially ordered sets, lattices, and Boolean algebras. The bit vector representation is first used to show how the algebras of sets and truth tables have the same structure. The representation is then used as the basis of an abstract algebra. The algebra is represented pictorially (by means of a binary tree) and then extended in several directions. Further reading is suggested. Pedagogical comments are included throughout.

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