Hm. Yeah, that’s how I read it. I’d say it this way, when I see an “if and only if”, I see a statement about the whole truth table, not just the particular values of p and q that happen to hold. This is a mistake?
I wouldn’t call it a mistake. Your interpretation is probably the intended interpretation of the statement, and a more natural one. My interpretation is what you get when you translate the statement naively into formal logic.
Hm. Yeah, that’s how I read it. I’d say it this way, when I see an “if and only if”, I see a statement about the whole truth table, not just the particular values of p and q that happen to hold. This is a mistake?
I wouldn’t call it a mistake. Your interpretation is probably the intended interpretation of the statement, and a more natural one. My interpretation is what you get when you translate the statement naively into formal logic.
Gotcha. Thanks for the replies.