conjunction in mathematical logic
- 5 years ago
Conjunction in logic.
Hello friends, Welcome to my channel mathstips4u.
In this video we are going to learn Conjunction and its truth table.
So let’s begin with
Conjunction (Ʌ):
If p and q are two simple statements, their conjunction is “p and q”, written as p Ʌ q.
p Ʌ q is defined to have truth value “true “if both p and q have truth values “true”. In all other cases, p Ʌ q is defined to have truth value “false”. Now we shall see
truth table of Conjunction p Ʌ q.
p q p Ʌ q
T T T
T F F
F T F
F F F
Note:
1. The words “but”, “yet”, “still”, “moreover”, “while”, “in spite of”,” though”, “even though” are used instead of “and “.
2. p Ʌ q and q Ʌ p both are same.
Ex. Express following in symbolic form.
1. Savita is tall and beautiful.
2. Anil and Sunil belongs to same cast.
3. The drug is effective though it has side effects.
4. In spite of tight security Dena bank were robed.
I will solve 1st example, remaining are left for you so try it, and don’t get panic. I will give the solution in my next video.
Solution:
1 p: Savita is tall.
q: Savita is beautiful.
Symbolic form is p Ʌ q.
In this way we have seen conjunction and its truth table.
In my next video we are going to learn disjunction and its truth table.
If you like my video, please subscribe my channel, like it, share it and comment it.
Thanking you for watching my video.
Hello friends, Welcome to my channel mathstips4u.
In this video we are going to learn Conjunction and its truth table.
So let’s begin with
Conjunction (Ʌ):
If p and q are two simple statements, their conjunction is “p and q”, written as p Ʌ q.
p Ʌ q is defined to have truth value “true “if both p and q have truth values “true”. In all other cases, p Ʌ q is defined to have truth value “false”. Now we shall see
truth table of Conjunction p Ʌ q.
p q p Ʌ q
T T T
T F F
F T F
F F F
Note:
1. The words “but”, “yet”, “still”, “moreover”, “while”, “in spite of”,” though”, “even though” are used instead of “and “.
2. p Ʌ q and q Ʌ p both are same.
Ex. Express following in symbolic form.
1. Savita is tall and beautiful.
2. Anil and Sunil belongs to same cast.
3. The drug is effective though it has side effects.
4. In spite of tight security Dena bank were robed.
I will solve 1st example, remaining are left for you so try it, and don’t get panic. I will give the solution in my next video.
Solution:
1 p: Savita is tall.
q: Savita is beautiful.
Symbolic form is p Ʌ q.
In this way we have seen conjunction and its truth table.
In my next video we are going to learn disjunction and its truth table.
If you like my video, please subscribe my channel, like it, share it and comment it.
Thanking you for watching my video.