Show that the following three hypotheses: (1) I want to sleep or I want to go to Makkah; (2) If I sleep, then I do not go to the university; (3) I am in the university. Give the co... Show that the following three hypotheses: (1) I want to sleep or I want to go to Makkah; (2) If I sleep, then I do not go to the university; (3) I am in the university. Give the conclusion: (4) I go to Makkah inshaAllah.
Understand the Problem
The question is asking to analyze three given hypotheses in the context of logical reasoning, leading to a conclusion about going to Makkah. The user is likely required to demonstrate the logical relationships between these statements.
Answer
I go to Makkah inshaAllah.
The conclusion is derived using logic: Since being in the university (R) is true, it implies sleeping (P) is false due to the second hypothesis. Therefore, wanting to go to Makkah (Q) is true due to the first hypothesis.
Answer for screen readers
The conclusion is derived using logic: Since being in the university (R) is true, it implies sleeping (P) is false due to the second hypothesis. Therefore, wanting to go to Makkah (Q) is true due to the first hypothesis.
More Information
This logic problem uses the modus tollens rule along with basic logical disjunction to derive the conclusion.
Tips
A common mistake is not correctly handling the implications, especially understanding the contrapositive logic.
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