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Teaching Modeling and Axiomatization with Boolean Algebra

Michael D. de Villiers

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Abstract

Traditionally, Boolean algebra is largely taught in connection with computer programming courses, logic, or set theory. Since Boolean algebra arose from George Boole's application of algebraic principles to the study of logic in 1854, this approach would seem natural.

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Traditionally, Boolean algebra is largely taught in connection with computer programming courses, logic, or set theory. Since Boolean algebra arose from George Boole's application of algebraic principles to the study of logic in 1854, this approach would seem natural.

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Available abstract

Traditionally, Boolean algebra is largely taught in connection with computer programming courses, logic, or set theory. Since Boolean algebra arose from George Boole's application of algebraic principles to the study of logic in 1854, this approach would seem natural.

Key concepts: Boolean algebra, Two-element Boolean algebra, Free Boolean algebra, Boolean algebras canonically defined, Complete Boolean algebra, Stone's representation theorem for Boolean algebras, Algebra over a field, Set (abstract data type)

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