Proposition
A statement of something to be done or considered is called proposition. You are familiar with statements such as If two straight lines intersect each other then the vertically opposite angles are equal. The angles opposite to equal sides of a triangle are equal. Proposition is..
Proposition or statement and Truth Value of a statement
A declarative sentence which is true or false but not both is called a proposition..
Proposition or statement and Truth Value of a statement
A declarative sentence which is true or false but not both is called a proposition. Truth value is the truthfulness of statement. If a statement is true its truth value is T, if a statement is false then its truth value is ..
Boolean Algebra Summary
Summary - A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, the..
Summary - A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, the..Conditional and Biconditional Statements
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..
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 table and subsequently we shall learn a..
Debate Script
The topic is 'Wars Always Create More Problems Than They Solve'. Here are some points for and against the proposition. Use them and your own ideas to write out the debate scrip..
Question 9
Question: Savita enjoys watching advertisements on the television. She is even more fascinated when children are a part of it. One of her classmates who took part in an ad campaign, gives her a different picture. According to her, it is not a bed of roses. It brings in problems. This sets Sav..
Logical Equivalence and Duality
Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by p..
Logical Equivalence and Duality
Logical Equivalence and Duality - Two compound propositions p and q are said to be logically equivalent, if their truth values are same for each different combinations of the truth values of the components involved in them. If p and q are logically equivalent, then it is represented by p ..
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