Mathematical Reasoning

New Statements From Old

  • The denial of a statement is called the negation of the statement.
  • If p is a statement, then the negation of p is also a statement and is denoted by ∼p, and read as 'not p'.
  • A Compound Statement is a statement which is made up of two or more statements. In this case, each statement is called a compound statement
  • Many mathematical statements are obtained by combining one or more statements using some connecting words like "and", "or" etc.

View this topic in this video from 2:54

Compound and Component Statements

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1. Truth table

P ∼P