Proposition or statement and Truth Value of a statement
Proposition or statement and Truth Value of a statement - A declarative sentence which is true or false but not both is called a propositi..
Proposition or statement and Truth Value of a statement
A declarative sentence which is true or false but not both is called a propositi..
Compound statements and Truth table
Truth Tables - A table is indicating the truth values of one or more statements is called a truth tabl..
Truth Tables
A table is indicating the truth values of one or more statements is called a truth tabl..
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..
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..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 ..
Conditional and Biconditional Statements
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 tru..
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 tru..Use of Venn diagrams in Logic
Use of Venn diagrams in Logic - Venn diagrams are used very frequently on problems of set theory. Venn diagrams can also be used for deciding the truthfulness of statements..
Proof
The course of reasoning, which establishes the truth or falsity of a statement is called proo..
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 th..
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