Pronunciation: /dɪsˈdʒʌŋk ʃən/ ?

Disjunction Truth Table
ABA or B
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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Manipulative 1: Disjunction. Created with GeoGebra.


  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.

More Information

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

Printed Resources

Cite this article as:

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


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Revision History

2009-12-21: Added "References" (McAdams, David.)
2008-12-13: Added manipulative 'Disjunction' (McAdams, David.)
2008-12-12: Added truth table (McAdams, David.)
2008-07-11: Changed The word 'or' to The logical operator 'or' (McAdams, David.)
2008-06-07: Corrected spelling (McAdams, David.)
2008-03-31: Initial version (McAdams, David.)

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