The statement, "If it is not cold, then it is not snowing, "is represented by which of the diagrams below? ( Picture attached below )

Question

anonymous · Answer

attachment

agent0smith · Answer

Ah, I just studied logic. Looks like B.

anonymous · Answer

That's whats I thought to but wanted a second opinion lol. Lets see if it is....

anonymous · Answer

yup it is lol thanks!

agent0smith · Answer

If it is not cold, then it must also be not snowing, so the not cold circle must be inside the not snowing one.

A isn't correct, because if it's not snowing, then you can't make the valid conclusion that it's not cold, given the original statement.

agent0smith · Answer

Just cos I'm tutoring a student tomorrow night who's doing logic, i'm gonna write the equations

p = cold
q = snowing

$$\approx p \rightarrow \approx q $$
is the original statement, and image B.

$$\approx q \rightarrow \approx p $$
That would be image A, and is not a valid conclusion.