TABLE 4: Hypothetical Truth Table Showing Three Causes of Regime Failure Condition Regime Failure Number F Instances A01001101 B001010 C00010 92312113 A= Conflict between older and younger military officers B= Death of a powerful dictator C= Cia dissatisfaction with the regime
Charles ragins Boolean approach to Comparative analysis The operation of the Boolean algebra consist of the following features Binary data and truth table Boolean addition and multiplication
Charles Ragin’s Boolean Approach to Comparative Analysis The operation of the Boolean Algebra consist of the following features Binary data and truth table Boolean addition and multiplication
BOOLEAN ADDITION, In Boolean algebra, if A +B=Z, and A=1 and B= 1, then Z= 1. In other words, 1+1=1. The basic idea in boolean addition is that if any of the additive terms is satisfied(present), then the outcome is true(occurs). Addition in Boolean algebra is equivalent to th ee logical operator OR. (In this discussion uppercase OR is used to indicate logical OR. Thus, the statement A+B=Z becomes if a equals 1OR als 1, then Z equals 1
BOOLEAN MULTIPLICATION. Boolean multiplication differs substantially from normal multiplication Boolean multiplication is relevant because the typical social science application of Boolean algebra concerns the process of simplifying expressions known as"sums of products. "A product is a specific combination of causal conditions. With uppercase letters indicating presence and lowercase letters indicating absence, the data on collapsed military re gimes from Table 4 can be represented in"primitive"(that is, unreduced) sums-of-products form as follows F= Abc t aBc abC ABc+ AbC + abC abc occurs if any of seven combinations of three causes is obtained. In boolean algebra, therefore, addition indicates logical OR and multiplication indicates logical AND. The three causes are ANDed together in different ways to indi- cate different empirical configurations. These intersections are ORed to gether to form an unreduced, sums-of-products equation describing the dif ferent combinations of the three causes linked to regime failu ure
Charles ragins Boolean approach to Comparative analysis The operation of the Boolean algebra consist of the following features Binary data and truth table Boolean addition and multiplication Boolean minimization
Charles Ragin’s Boolean Approach to Comparative Analysis The operation of the Boolean Algebra consist of the following features Binary data and truth table Boolean addition and multiplication Boolean minimization