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Truth Tables
A table is indicating the truth values of one or more statements is called a truth table..
Compound statements and Truth table
If two or more statements are combined by the use of words like 'AND', 'OR', 'IF AND ONLY IF ', then the resulting statement is called a compound statement. A table is indicating the truth values of one or more statements is called a truth table..
Table 2 - Truth table for p and q
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..Amongst a group of patients who complained of severe body pain, some w..
Amongst a group of patients who complained of severe body pain, some were given a new analgesic on trial and some were given a placebo. They were later asked whether the pain relievers were effective. The results were presented in the following table. Pain relieved Pain continues Took analgesi..
Logical 'NOT' Operation
This operation has one input and one output. Table 7 represents truth table for NOT operati..
Summary
- A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and their compound stateme..
Conditional and Biconditional Statements
Conditional and Biconditional Statements - It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth t..
Boolean Algebra Summary
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A compound proposition which is always true for all combination ..
q is false only when p is true and q is false. In other cases, it is true. If p q, then the contrapositive of this proposition is -q -p. The biconditional p q is true only when both p and q are true or both p and q are false. A compound proposition which is always true for all combination ..Mathematical Logic Summary
Summary - - A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and their compound statements in a com..
Logical Equivalence
Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth h..
Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth h..See what our Users say :
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