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..
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..
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..The Biconditional statement
If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisible by 2. It is a biconditional having the..
If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisible by 2. It is a biconditional having the..The Conditional Statements
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) p is suffi..
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) p is suffi..See what our Users say :
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