Norris Hanson
06/25/2023 · Primary School
Which Law deals with the truth value of \( p \) and \( q \) ? Law of Syllogism Law of Separation Law of Detachment 6 of Law of Deduction
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The law that deals with the truth value of \( p \) and \( q \) is the **Law of Detachment**.
The Law of Detachment states that if we have a conditional statement \( p \rightarrow q \) (if \( p \) then \( q \)) and we know that \( p \) is true, we can conclude that \( q \) is also true. This law directly relates to the truth values of \( p \) and \( q \).
The other laws mentioned (Law of Syllogism, Law of Separation, and Law of Deduction) pertain to different logical principles and do not specifically focus on the truth values of \( p \) and \( q \) in the same way.
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The Law of Detachment deals with the truth value of \( p \) and \( q \).
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