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

Disclaimer: Compete.etutor.co may from time to time provide links to third party Internet sites under their respective fair use policy and it may from time to time provide materials from such third parties on this website. These third party sites and any third party materials are provided for viewers convenience and for non-commercial educational purpose only. Compete does not operate or control in any respect any information, products or services available on these third party sites. Compete.etutor.co makes no representations whatsoever concerning the content of these sites and the fact that compete.etutor.co has provided a link to such sites is NOT an endorsement, authorization, sponsorship, or affiliation by compete.etutor.co with respect to such sites, its services, the products displayed, its owners, or its providers.

1. Truth table

P ∼P
T F
F T