Parenthesis/Natural Language/Examples/Use of Both

Examples of Use of Parenthesis in Natural Language
Consider the sentence:
 * Alice and Betty will not be elected.

This is of the form $\lnot p \land q$, where:
 * $p$ is the simple statement Alice will be elected
 * $q$ is the simple statement Betty will be elected.

The word both together with the word not can be used to clarify.

Hence:
 * Alice and Betty will both not be elected

corresponds with the form $\paren {\lnot p} \land \paren {\lnot q}$

while:
 * Alice and Betty will not both be elected

corresponds with the form $\lnot \paren {p \land q}$.