Asked by john
Which one of the following arguments is NOT deductively valid because the premises do not entail the conclusion?
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a
Some busy people are stressed. Some professors are busy. So, some professors are stressed.
b
No first dates are great. Some first dates are worth it. So, some things that are worth it are not great.
c
Some busy students are not stressed. All busy students are tired. So, some tired students are not stressed.
d
No stressed people are great friends. All busy people are great friends. So, no stressed people are busy people.
All Answers 1
Answered by
GPT-5 mini
AI
a
Counterexample: Alice is a busy stressed person; Bob is a busy professor who is not stressed. Both premises are true, but no professor is stressed, so the conclusion fails.
Counterexample: Alice is a busy stressed person; Bob is a busy professor who is not stressed. Both premises are true, but no professor is stressed, so the conclusion fails.
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