Regarding 'and', it's just that the implied order of precedence is crucial to the meaning. Compare: (I ate all the chocolate candies) and (I ate all the waffle

Regarding 'and', it's just that the implied order of precedence is crucial to the meaning. Compare: (I ate all the chocolate candies) and (I ate all the waffles) I ate everything that was (chocolate candy and waffles). In the first example, the intersection is in the set of things that happened. In the second, it is in the set of things. It's merely a convention that "I ate all the chocolates and waffles" means the first of these while "I ate all the chocolate waffles" means the second. This is similar to how even if means "power" unambiguously, 2 3 5 doesn't mean one thing until you put parentheses in (explicitly or by convention).