Conclusion
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:
- 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 reasonable inference given the
condition. An example of a logical if-then statement is:
if a>5 then
a>4.
References
- conclusion. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=conclusion&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
- Atwater, Lymon H. Manual of Elementary Logic, revised edition, pp 24-25. J. B. Lippincott Company, 1895. (Accessed: 2010-01-18). http://www.archive.org/stream/manualofelementa00atwarich#page/24/mode/1up/search/conclusion.
- Duncan, William H.. The elements of logic, pg 8. Whiting, Backus & Whiting, 1804. (Accessed: 2010-01-18). http://www.archive.org/stream/elementsoflogici00dunc#page/8/mode/1up/search/conclusion.
Cite this article as:
Conclusion. 2010-01-18. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/conclusion.html.
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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.)