# 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

aba AND b
truetruetrue
truefalsefalse
falsetruefalse
falsefalsefalse
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

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

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