truth tabe of conjunctive proposition
Answers (2)
25th Dec, 2019
The truth table of the conjuctive preposition can be described as follows--
Consider the statement p and q, denoted pq. To analyze this, we first have to think of all the combinations of truth values for both statements and then decide how those combinations influence the and statement. In words:
Row 1: the two statements could both be true.
In this case, it would make sense that p and q is also a true statement.
Row 2: p could be false while q is true.
For p and q to be true, we would need BOTH statements to be true. Since one is false, p and q is false.
Row 3: p could be true while q is false.
If this is the case, then by the same argument in row 2, p and q is false.
Row 4: the two statements could both be false.
If both statements are false, then p and q is false.
The order of the rows doesnt matter as long as we are systematic in a way so that we do not miss any possible combinations of truth values for the two original statements p, q.
Consider the statement p and q, denoted pq. To analyze this, we first have to think of all the combinations of truth values for both statements and then decide how those combinations influence the and statement. In words:
Row 1: the two statements could both be true.
In this case, it would make sense that p and q is also a true statement.
Row 2: p could be false while q is true.
For p and q to be true, we would need BOTH statements to be true. Since one is false, p and q is false.
Row 3: p could be true while q is false.
If this is the case, then by the same argument in row 2, p and q is false.
Row 4: the two statements could both be false.
If both statements are false, then p and q is false.
The order of the rows doesnt matter as long as we are systematic in a way so that we do not miss any possible combinations of truth values for the two original statements p, q.
Comments (0)
25th Dec, 2019
Hello Greetings!
Hope you are having a nice day!
I would like to inform you that If p and q are two propositions, then conjunction of p and q is a proposition which is-
- True when both p and q are true
- False when both p and q are false
Truth Table:-
| p | q | p ∧ q |
| F | F | F |
| F | T | F |
| T | F | F |
| T | T | T |
Example:-If p and q are two propositions where-
- p : 2 + 4 = 6
- q : It is raining outside.Then, conjunction of p and q is-p ∧ q : 2 + 4 = 6 and it is raining outside.
All the best for future!
Thanks.
Comments (0)
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