
when i go home sometime I am alone by that I mean none of my home mates are in the house and sometimes they both are inside so I am not alone.
If they are not inside they are outside.- They are outside
- Therefore, they are not inside.
The above argument may be valid, but only if the claim "if he's outside, then he's not inside" follows from the first premise. Even in such a case, however, the validity stems not from affirming the consequent, but from the form modus ponens.
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