Understanding Disjunction: A Comprehensive Guide for Math Enthusiasts and Professionals

Disjunction

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Disjunction is a logical operation that involves creating a compound statement by connecting two individual statements with the word or. The resulting compound statement is true if either of the individual statements is true, and it is false only if both individual statements are false.

For example, if statement A is The sky is blue and statement B is The grass is green, the disjunction of A and B is The sky is blue or the grass is green. This compound statement is true because at least one of the individual statements is true (in this case, The sky is blue).

Disjunctions are commonly used in mathematics, logic, and computer science to express relationships between different conditions or events. They are also used in everyday language, such as when we say I will either go to the beach or the mountains for vacation.

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