The second statement is the _____ of the first.A.converseB.contrapositiveC.contradictionD.inverse
Question
The second statement is the _____ of the first.
A. converse
B. contrapositive
C. contradiction
D. inverse
Solution
To answer this question, we first need to understand what each term means in the context of logic and statements:
A. Converse: The converse of a statement is formed by exchanging the hypothesis and the conclusion. For example, if the original statement is "If it is raining, then the ground is wet," the converse would be "If the ground is wet, then it is raining."
B. Contrapositive: The contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then exchanging them. For example, the contrapositive of the original statement would be "If the ground is not wet, then it is not raining."
C. Contradiction: A contradiction is a statement that is always false. It is a statement that contradicts itself. For example, "It is raining and it is not raining" is a contradiction.
D. Inverse: The inverse of a statement is formed by negating both the hypothesis and the conclusion. For example, the inverse of the original statement would be "If it is not raining, then the ground is not wet."
Without the actual statements, it's impossible to determine which of these terms applies.
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