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 ^ bin logic
a && bin some computer languages
a · bin electronics

aba AND b
truetruetrue
truefalsefalse
falsetruefalse
falsefalsefalse
Figure 1 - Truth table of a AND b.

Venn diagram of a AND b
Figure 2 - Venn diagram of a ^ b.

References

  1. conjunction. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=conjunction&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  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 LLC. 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 LLC. 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 LLC. http://www.allmathwords.org/en/c/conjunction.html.

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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.)

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