Conclusion
Pronunciation: /kənˈklu.ʒən/ Explain
The end product of a set of mathematical arguments is usually a
conclusion.^{[2]}
The conclusion states what the writer claims is a reasonable
inference
given the arguments. The basic outline for a
direct proof is:
- Claim: What the writer says will be proved by the arguments.
- Arguments: A set of arguments based on previously proved theorems, axioms, and definitions.
- 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.
References
- McAdams, David E.. All Math Words Dictionary, conclusion. 2nd Classroom edition 20150108-4799968. pg 41. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Atwater, Lymon H. Manual of Elementary Logic. revised edition. pp 24-25. www.archive.org. J. B. Lippincott Company. 1895. Last Accessed 6/25/2018. http://www.archive.org/stream/manualofelementa00atwarich#page/24/mode/1up/search/conclusion. Buy the book
- Duncan, William H.. The Elements of Logic. pg 8. www.archive.org. Whiting, Backus & Whiting. 1804. Last Accessed 6/25/2018. http://www.archive.org/stream/elementsoflogici00dunc#page/8/mode/1up/search/conclusion. Buy the book
Cite this article as:
McAdams, David E. Conclusion. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/conclusion.html.
Revision History
4/16/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
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.)