Let's say p is a statement. Is ~p (negation of p) just opposite of p or is it anything but p.
For example, let's say p = "None of the basketball players are blond"
Without just adding a 'not' in front of the statement, what would ~p be?
Would ~p be: "All of the basketball players are blond" (exact opposite of p)
or would ~p be: "At least one of the basketball players is blond" (anything but p)
Another side question I have is what is the precedence of ^ (and), V (or), ~ (negation), --> (implies), and anything else relevant
Thanks! Help is appreciated!