Question

what is the relationship between “negation” in logic and “complement” in set theory. please support with example

Answer 1

The negation of a simple sentence is false when the simple sentence is true and

$It \;is\;represented \;as\;\;{A},'\;\;\bar{A},\;\;\sim A$

let P=Africa is a country

Q=Africa is not a country

$Q=\sim P$

Complement of a set A refers to the elements not in A.

Complement os a set is represented by

let A=set of even numbers then complement of set A()=numbers which are not even.

Negation is (logic) the logical operation which obtains such (negated) propositions while complement is (logic) an expression related to some other expression such that it is true under the same conditions that make other false, and vice versa.