Pronunciation: /dɪsˈdʒʌŋk.ʃən/ Explain

Disjunction Truth Table
ABA or B
Table 1

A disjunction is two logical statements connected with an 'or'.[2] 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.


  1. McAdams, David E.. All Math Words Dictionary, disjunction. 2nd Classroom edition 20150108-4799968. pg 63. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. Couturat, Louis. The Algebra of Logic. sect 0.6 pg 6. Translated by Lydia Gillingham Robinson, B. A.. Open Court Publishing. 1914. Last Accessed 7/3/2018. http://www.gutenberg.org/files/10836/10836-pdf.pdf. Buy the book
  3. Kant, Emmanuel. Logic. pg 149. Translated by Richardson, John. www.archive.org. Last Accessed 7/3/2018. 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. https://www.allmathwords.org/en/c/conjunction.html.

Cite this article as:

McAdams, David E. Disjunction. 4/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/d/disjunction.html.

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Revision History

4/20/2019: Updated equations and expressions to the new format (McAdams, David E.)
3/11/2019: Removed extraneous wording. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
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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