Logical Connectives (or) Sentential Connectives
Two or more statements are combined to form a compound statement by using symbols. These symbols are called logical connectives.
Logical connectives are given below.
Word | Symbols |
---|---|
And | ˄ |
Or | ˅ |
Implies that (if … then) | ⇒ |
If and only if (implies and is implied by) | ⇔ |
Example: The statement p ˄ (q ⇔ r) is a?
Solution: Given that p ˄ (q ⇔ r)
p | q | r | q ⇔ r | p ˄ (q ⇔ r) |
T | F | F | T | T |
T | F | T | F | F |
T | T | F | F | F |
T | T | T | T | T |
F | F | F | T | F |
F | F | T | F | F |
F | T | F | F | F |
F | T | T | T | F |