Conjunction

Pronunciation: /kənˈdʒʌŋk ʃən/ ?

A conjunction is a mathematical operator that returns an output of true if and only if all of its operands are true.^[1]

A conjunction can be written as:

a AND b
a ^ b	in logic
a && b	in some computer languages
a · b	in electronics

a b a AND b true true true true false false false true false false false false

Figure 1 - Truth table of a AND b.

Figure 2 - Venn diagram of a ^ b.

References

1. conjunction, def 5. dictionary.com. Dictionary.com Unabridged. Random House, Inc.. (Accessed: 2010-01-19). http://dictionary.reference.com/browse/conjunction.
2. Alan Hausman, Howard Kahane, Paul Tidman. Logic and Philosophy: A Modern Introduction, 11th edition, pp 21-24. Wadsworth Publishing, March 12, 2009. (Accessed: 2010-01-19).
3. Paul Herrick. The Many Worlds of Logic, 2nd edition, pp 31-35. Oxford University Press, USA, May 28, 1999. (Accessed: 2010-01-19).

More Information

• McAdams, David. Biconditional. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem.org. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Biconditional.
• McAdams, David. Disjunction. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem.org. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Disjunction.

Cite this article as:

Conjunction. 2010-01-19. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/c/conjunction.html.

Translations

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Revision History

2009-12-21: Added "References" (McAdams, David.)
2008-07-11: Added 'Disjunction' to 'More Information' (McAdams, David.)
2007-07-16: Initial version (McAdams, David.)

Contributors

2007-07-16: Authored

Formal reviews

Review Type	Review Date	Contributor	Review	Notes
FIRST: Evaluate the article for general validity.	2009-04-30

To Do

1. Usability review.
2. Math review.
3. Content review.