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 |