Consider this argument:"If it rains, I shall not go to school"."..."______________________________________________∴ "If it rains, I won’t need to do homework"Which premise(s) is/are needed to draw the above conclusion?a.If I go to school, I need to do homework.b.If I don’t go to school, I won’t need to do homework.c.I don’t go to school.d.I won’t need to do homework.
Question
Consider this argument:"If it rains, I shall not go to school"."..."______________________________________________∴ "If it rains, I won’t need to do homework"Which premise(s) is/are needed to draw the above conclusion?a.If I go to school, I need to do homework.b.If I don’t go to school, I won’t need to do homework.c.I don’t go to school.d.I won’t need to do homework.
Solution
The premise needed to draw the conclusion "If it rains, I won’t need to do homework" from the argument "If it rains, I shall not go to school" is:
b. If I don’t go to school, I won’t need to do homework.
Here's the reasoning:
- The initial argument states that if it rains, the speaker will not go to school.
- To connect this with not needing to do homework, we need a premise that links not going to school with not needing to do homework.
- Premise b provides this link, stating that if the speaker doesn't go to school, they won't need to do homework.
- Therefore, with premise b, we can conclude that if it rains (and thus the speaker doesn't go to school), the speaker won't need to do homework.
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