Disjunction

Pronunciation: /dɪsˈdʒʌŋk ʃən/ ?

Disjunction Truth Table A B A or B false false false false true true true false true true true true 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.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now) Manipulative 1: Disjunction. Created with GeoGebra.

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.

More Information

• 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

Cite this article as:

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

Translations

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Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem.org and are licensed under the Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

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.)