What is the negation of p and q?
~(p^q) = ~p v ~q
To find the negation of "p and q", we first need to understand what "p and q" means.
In logic, "p and q" represents a logical conjunction or the statement that both p and q are true.
The negation of a statement can be obtained by applying De Morgan's law, which states that "not (A and B)" is equivalent to "(not A) or (not B)".
Therefore, the negation of "p and q" would be "(not p) or (not q)". This means that at least one of the propositions p or q is false.