Pronunciation: /kənˈklu ʒən/ Explain

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 a reasonable inference given the condition. An example of a logical if-then statement is: if a>5 then a>4.


  1. Atwater, Lymon H. Manual of Elementary Logic. revised edition. pp 24-25. J. B. Lippincott Company. 1895. Last Accessed 8/6/2018. Buy the book
  2. Duncan, William H.. The Elements of Logic. pg 8. Whiting, Backus & Whiting. 1804. Last Accessed 8/6/2018. Buy the book

Cite this article as:

McAdams, David E. Conclusion. 6/25/2018. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/18/2010: Added "References". (McAdams, David E.)
4/25/2008: Added text for if-then statements. (McAdams, David E.)
2/3/2008: Changed javascript links to HREF. (McAdams, David E.)
7/15/2007: Initial version. (McAdams, David E.)

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