Intersection AND
Union AND, MOSTLY
Disjunction OR
Conjunction AND
For these words, we have:
Intersection, when we and the common results between two sets
So, Intersection A ∩ B A and B
A ={1,2,3} B= {3,4,5} A ∩ B ={3}
Disjunction, OR
When some conditions apply either to one set or to another.
A V B = OR
He is American OR He is British
A OR B
Union, AND, Mostly
When we want all the elements that belong to both Sets
So A ∪ B means A and all the elements from A and all the elements from B, no need no repeat the same element.
A = {1,2,3} B= {3,4,5} A ∪ B ={ 1,2,3,4,5}
Conjunction
A ^ B = AND,
In Logic and Set Theory and we have conjunction, we can use the word
He is a New Yorker AND He is American.