A haqiqiyyah disjunction requires exactly one alternative to be true. The textbook’s example is “This integer is odd or even.” Seven is odd but not even; eight is even but not odd. This example applies to integers, which are divided exhaustively into odd and even classes.
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Disjunction of exactly one alternative
Conditional Propositions: Connected and Disjunctive Forms
A haqiqiyyah disjunction requires exactly one alternative to be true. The textbook’s example is “This integer is odd or even.” Seven is odd but not even; eight is even but not odd. This example applies to integers, which are divided exhaustively into odd and even classes.