Asked by archana sharma on May 08, 2024

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Verified

Is a hypothetical proposition equivalent to its converse? To its contrapositive?

A) It is equivalent to its converse, but not to its contrapositive.
B) It is equivalent to its contrapositive, but not to its converse.
C) It is equivalent to both.
D) It is equivalent to neither.
E) It depends on the subject matter of the proposition.

Hypothetical Proposition

A statement that posits a condition and its potential outcome, often structured as "if-then."

Converse

In logic, the converse of a conditional statement is formed by reversing its antecedent and consequent.

Contrapositive

In logic, it involves reversing and negating both the hypothesis and conclusion of a conditional statement.

  • Comprehend the functions of converse, contrapositive, and equivalent statements in logic.
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Verified Answer

JJ
Jennifer Joyner-HarrisMay 14, 2024
Final Answer :
B
Explanation :
A hypothetical proposition is a conditional statement of the form "if p, then q". The converse of this statement would be "if q, then p", and it is not equivalent to the original statement. However, the contrapositive of the original statement would be "if not q, then not p", and this statement is equivalent. Therefore, option B is the correct answer.