Which statement is logically equivalent to "If it is warm, then i go swimming"?
April 5, 2011 - 4:57 am
1. If i go swimming, then it is warm.
2.If it is warm, then i do not go swimming
3. If i do not go swimming, then it is not warm.
4. If it is not warm, then i do not go swimming.
please explain
The third one is the contrapositive which is logically equivalent.
The contrapositive of the statement
"If a, then b."
is
"If not b, then not a."
April 5th, 2011 at 10:18 am
The third one is the contrapositive which is logically equivalent.
The contrapositive of the statement
"If a, then b."
is
"If not b, then not a."
References :
April 5th, 2011 at 10:25 am
3 is the correct choice, because the given implication
"If it is warm, then I go swimming"
means that being warm requires that I go swimming, not that going swimming requires that it be warm. The given statement could still be true even if I decide to go swimming whether it is warm or not.
References :