Conjunction

Pronunciation: /kənˈdʒʌŋk.ʃən/ Explain

A conjunction is a mathematical operator that returns an output of true if and only if all of its operands are true.^[2]

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. McAdams, David E.. All Math Words Dictionary, conjunction. 2nd Classroom edition 20150108-4799968. pg 43. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Alan Hausman, Howard Kahane, Paul Tidman. Logic and Philosophy: A Modern Introduction. 11th edition. pp 21-24. Wadsworth Publishing. March 12 2009. Last Accessed 6/25/2018. Buy the book
3. Paul Herrick. The Many Worlds of Logic. 2nd edition. pp 31-35. Oxford University Press, USA. May 28, 1999. Last Accessed 6/25/2018. Buy the book

More Information

• McAdams, David E.. Biconditional. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/b/biconditional.html.

Cite this article as:

McAdams, David E. Conjunction. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/conjunction.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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.)
12/21/2009: Added "References". (McAdams, David E.)
7/11/2008: Added 'Disjunction' to 'More Information'. (McAdams, David E.)
7/16/2007: Initial version. (McAdams, David E.)