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Question 465859: Determine if the argument is valid or invalid. Given a reason to justify answer.
If it's Tuesday, then this must be Paris.
(sentence underlined) Today is Wednesday.
/\ This must not be Paris.
Which one is correct.
1) Valid by the law of detachment
2) Valid by the law of contraposition
3) Invalid by fallacy of the converse
4) Invalid by fallacy of the inverse
5) Valid by the law of syllogism
6) Valid by disjunction syllogism
Answer by kingme18(98)   (Show Source):
You can put this solution on YOUR website! This is invalid by fallacy of the inverse.
Your initial premise is "If it's Tuesday, then this must be Paris." The second premise, "Today is Wednesday", is essentially negating it being Tuesday. The conclusion negates the second part of premise 1. An inverse negates each part of the conditional statement; this argument is invalid because you're trying to use the inverse, which is not logically equivalent to the original.
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