4. EXAMPLE OF PROPOSITION
We give a statement that
Dhaka is the capital of Bangladesh
This statement or sentence is a proposition because of two reason
Declarative
Has truth
value
5. LOGICAL CONNECTIVES
There are some word or symbols used to combine two sentence to form a
compound statement
Logic Name Rank
~ Negation 1
^ Conjunction 2
V Disjunction 3
=> Conditional 4
↔ Biconditional 5
6. BASIC LOGICAL OPERATIONS
A B ^ V ~ A => ↔ NOR NAN
D
XOR EX
NOR
T T T T F T T F F F T
T F F T F F F F T T F
F T F T T T F F T T F
F F F F T T T T T F T
9. EXAMPLE OF TAUTOLOGY
We have a statement that “ I will get in trouble or not get in trouble “ .
Proposition p = I will get in trouble.
p ⌐ p p ᴠ ⌐ p
T F T
F T T
18. EXAMPLE
If we take statements p => q and ~ q => ~p, then there truth table values must be
equal to satisfy the condition of logical equivalence
p q ~ p ~ q p => q ~q => ~p
T T F F T T
T F F T F F
F T T F T T
F F T T T T