Pronunciation: /dɪsˈdʒʌŋk ʃən/ Explain

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.


  1. Couturat, Louis. The Algebra of Logic. sect 0.6 pg 6. Translated by Lydia Gillingham Robinson, B. A.. Open Court Publishing. 1914. Last Accessed 8/6/2018. http://www.gutenberg.org/files/10836/10836-pdf.pdf. Buy the book
  2. Kant, Emmanuel. Logic. pg 149. Translated by Richardson, John. www.archive.org. Last Accessed 8/6/2018. http://www.archive.org/stream/logiclogic00kantrich#page/149/mode/1up/search/disjunction. Buy the book

More Information

  • McAdams, David E.. Conjunction. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/c/conjunction.html.

Cite this article as:

McAdams, David E. Disjunction. 7/4/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/d/disjunction.html.

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Revision History

7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
12/21/2009: Added "References". (McAdams, David E.)
12/13/2008: Added manipulative 'Disjunction'. (McAdams, David E.)
12/12/2008: Added truth table. (McAdams, David E.)
7/11/2008: Changed The word 'or' to The logical operator 'or'. (McAdams, David E.)
6/7/2008: Corrected spelling. (McAdams, David E.)
3/31/2008: Initial version. (McAdams, David E.)

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