Sentential Logic Problem
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
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.
Thanks for any help.