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Explicitly, a Boolean algebra is the partial order on subsets defined by inclusion (Skiena 1990, p. 207), i.e., the Boolean algebra of a set is the set of subsets of that can be obtained by means of a finite number of the set operations union (OR), intersection (AND), and complementation (NOT) (Comtet 1974, p. 185).
Boolean, Number and String. The Boolean type has only two values. The constants for these values are true and false and are only used for truth values. Unlike some languages, false isn't exactly the same as 0 (zero), but it will convert to 0 when used where a number is expected, so it's much the same thing.