What is the difference between logical operators and set operators? And how they are related to each other?

Answer 1

Well, not to be coy but logical operators perform operations on logical boolean variables while set operators perform operations on sets. Examples of logical operators are AND, OR, NOT, IF... THEN, and of course parenthesis when they are used in combination.

Set operators are Union, Intersection, complement, and of course parenthesis when they are used in combination.

As far as their relation is concerned, there are similar behaviors and characteristics between pairs of operators.

For example, the AND logical operator and the Intersection operator kind of work the same way.

For the AND logical operator to be true, BOTH boolean logical vars must be true. Likewise, the Intersection operator requires elements that are in BOTH sets namely elements in the first set AND in the second set.

The OR logical operator and the Union operator kind of work the same way. The logical OR only requires one of hte boolean vars to be true. The Union operator joins elements in one set OR the other.

The negation operator is likewise similar to the complement operator in sets.

Finally, the commutative property, associative property, distributive property, and DeMorgan's Rule apply

to both logical operators and sets...