Originally Posted by

**lannett** Hi there,

I would be extremely appreciative to anyone that could help/explain this reasoning a little to me.

Q. Let P stand for the statement "I will buy the pants" and S for the statement "I will buy the shirt." What English sentencecs are represented by the following expression

$\displaystyle \neg(\mbox{P}\wedge\neg\mbox{S})$

correct answer from book [How to Prove It, 2006, Velleman] is...

I won't buy the pants without the shirt.

Now, to me, this doesn't make any sense.

I would interpret the part inside the parenthesis to be:

I will buy the pants but not the shirt.

Now, outside, it's the negation of that entire statement, which requires a double negative on the shirt part, and from an english viewpoint doesn't make much sense to me.

Only other way I can interpret this myself is:

I will not buy both the pants and not the shirt.

:confused:

Thanks for any help.