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Elements of Boolean Algebra Theory

John Bowman Harvill

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Abstract

The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.

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The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.

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Available abstract

The primary purpose of this paper is to state a set of postulates for Boolean algebra and show the characteristic theorems derivable from them, and to unify in one paper the more important methods of representing Boolean algebra and show their equivalence.

Key concepts: Two-element Boolean algebra, Free Boolean algebra, Complete Boolean algebra, Stone's representation theorem for Boolean algebras, Boolean algebras canonically defined, Boolean algebra, Equivalence (formal languages), Algebra over a field

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