DISJUNCTION (v) or INCLUSIVE OR
If p and q are statements, then the disjunction of p and q is “p or q”, denoted as “p v q” It is true when at least one of p or q is true and is false only when both p and q are false.
Note that in the table F is only in that row where both p and q have F and all other values are T. Thus for finding out the truth values for the disjunction of two statements we will only first search out where the both statements are false and write down the F in the corresponding row in the column of p v q and in all other rows we will write T in the column of p v q.
Remark:
Note that for Conjunction of two statements we find the T in both the statements, But in disjunction we find F in both the statements. In other words we will fill T first in the column of conjunction and F in the column of disjunction.
If p and q are statements, then the disjunction of p and q is “p or q”, denoted as “p v q” It is true when at least one of p or q is true and is false only when both p and q are false.
Note that in the table F is only in that row where both p and q have F and all other values are T. Thus for finding out the truth values for the disjunction of two statements we will only first search out where the both statements are false and write down the F in the corresponding row in the column of p v q and in all other rows we will write T in the column of p v q.
Remark:
Note that for Conjunction of two statements we find the T in both the statements, But in disjunction we find F in both the statements. In other words we will fill T first in the column of conjunction and F in the column of disjunction.
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