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Proposition and Compound Proposition

A proposition or a statement or a logical sentence is a declarative sentence that can be either true or false.

Example of Propositions

  • Jawaharlal Nehru was the first prime minister of India.
  • Today is Monday.

Example of Non-Propositions

  • What is your name?
  • Please come in.

Propositional Variable

The lowercase letters starting with P are used to represent the proposition.


p: Mahatma Gandhi is the father of India.

q: 2+2 = 4

Compound Propositions

A statement or propositional variable can be combined with logical connectives (logical operators) to form a single statement will be a compound statement or compound proposition.

There are five logical operators:

Implies or If…thenImplication or Conditional
if and only ifEquivalence or Biconditional


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Written by Amitesh Kumar

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Logical Operations