Question 474458: 12. Determine if the argument is valid or invalid. Give a reason to justify answer.
If it is cold, then you need a coat.
You do not need a coat.
It is not cold.
Valid by the law of detachment
Valid by the law of contraposition
Invalid by fallacy of the converse
Invalid by fallacy of the inverse
Valid by the law of syllogism
Valid by disjunctive syllogism
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! this would be valid by the law of contraposition.
the law of contrapoisiton states:
if a implies b, then not b implies not a.
the statement and its contrapositive are equivalent.
this means that:
if the statement is true, then the contrapositive is also true.
if the statement is false, then the contrapositive is also false.
a -> b is the statement
~b -> ~a is the contrapositive
here's an explanation that fairly easy to digest.
http://hotmath.com/hotmath_help/topics/converse-inverse-contrapositive.html
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