﻿ Disjunction: Two logical statements connected with an 'or'.

# Disjunction

Pronunciation: /dɪsˈdʒʌŋk ʃən/ ?

Disjunction Truth Table
ABA or B
falsefalsefalse
falsetruetrue
truefalsetrue
truetruetrue
Table 1

A disjunction is two logical statements connected with an 'or'.[1] A disjunction is true if either one of the logical statements are true. The symbol '∨' is often used to mean disjunction in mathematics. The symbol '||' is often used to mean disjunction in computer languages.

Click on the check boxes in manipulative 1 to change the values.

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### References

1. disjunction. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=disjunction&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
2. Louis Couturat. The Algebra of Logic, sect 0.6 pg 6. English translation by Lydia Gillingham Robinson, B. A.. Open Court Publishing, 1914. (Accessed: 2009-12-19). http://www.gutenberg.org/files/10836/10836-pdf.pdf.
3. Kant, Emmanuel. Logic, pg 149. Translated by Richardson, John. (Accessed: 2010-01-23). http://www.archive.org/stream/logiclogic00kantrich#page/149/mode/1up/search/disjunction.

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

### Printed Resources

Disjunction. 2010-01-23. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/d/disjunction.html.

### Revision History

2008-07-11: Changed The word 'or' to The logical operator 'or' (McAdams, David.)

All Math Words Encyclopedia is a service of Life is a Story Problem.org.