Question

logic as maites mother left for work, she quickly gave maite some instructions. \if you need me, call my cell phone. if i do not answer, then it means im in a meeting. the meeting will not last more than 30 minutes, and i will call you back when the meeting is over\ later that day, maite tried to call her mothers cell phone, but her mother was in a meeting and could not answer the phone. maite concludes that she will have to wait no more than 30 minutes before she gets a call back from her mother. what law of logic did maite use to draw this conclusion?

Explanation:

The Law of Detachment states that if \(p
ightarrow q\) (if \(p\) then \(q\)) is a true conditional statement and \(p\) is true, then \(q\) is true. In this case, the conditional statement is "If I do not answer, then it means I'm in a meeting. The meeting will not last more than 30 minutes, and I will call you back when the meeting is over" (\(p = \) mother does not answer, \(q=\) mother is in a meeting that will not last more than 30 minutes and will call back). Maite's mother did not answer (\(p\) is true), so by the Law of Detachment, the conclusion (\(q\), specifically the part about waiting no more than 30 minutes) follows.

Answer:

Law of Detachment