Pronunciation: /kənˈklu ʒən/ ?

The end product of a set of mathematical arguments is usually a conclusion.[1] The conclusion states what the writer claims is a reasonable inference given the arguments. The basic outline for a direct proof is:

  1. Claim: What the writer says will be proved by the arguments.
  2. Arguments: A set of arguments based on previously proved theorems, axioms, and definitions.
  3. Conclusion: Statement that the claim has been proved.

A conclusion is also part of a logical if-then statement. The format of a if-then statement is: "if condition then conclusion". The conclusion is reasonable inference given the condition. An example of a logical if-then statement is: if a>5 then a>4.


  1. conclusion. WordNet. Princeton University. (Accessed: 2011-01-08).
  2. Atwater, Lymon H. Manual of Elementary Logic, revised edition, pp 24-25. J. B. Lippincott Company, 1895. (Accessed: 2010-01-18).
  3. Duncan, William H.. The elements of logic, pg 8. Whiting, Backus & Whiting, 1804. (Accessed: 2010-01-18).

Cite this article as:

Conclusion. 2010-01-18. All Math Words Encyclopedia. Life is a Story Problem LLC.


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Revision History

2010-01-18: Added "References" (McAdams, David.)
2008-04-25: Added text for if-then statements (McAdams, David.)
2008-02-03: Changed javascript links to HREF (McAdams, David.)
2007-07-15: Initial version (McAdams, David.)

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