De Morgan's second law makes sense: not p and q is the same as not p or not q. However, when I tried to construct a sentence as an example of the law, it seemed not true. For example:
Sequa does not like pie and cake. Sequa does not like pie or does not like cake.
These sentences appear to not be the same, for the first sentences states that she does not like pie and cake. The second states that she does not like one or the other, not necessarily that she does not like both.
Am I giving a incorrect example?