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Foundations of Mathematics  >  Logic  >  General
Logic  >
MathWorld Contributors  >  Bell  >

Disjunctive Syllogism

A disjunctive syllogism is a valid argument form in propositional calculus , where p and q are propositions:

 (p v q; ¬p)/(∴q).

For example, if someone is going to study law or medicine, and does not study law, they will therefore study medicine.

SEE ALSO: Syllogism

This entry contributed by Jordan Bell

REFERENCES:

Copi, I. M. and Cohen, C. Introduction
to Logic, 11th ed.
Englewood Cliffs, NJ: Prentice Hall, 2001.

Referenced on Wolfram|Alpha: Disjunctive Syllogism

CITE THIS AS:

Bell, Jordan . "Disjunctive Syllogism." From MathWorld –A Wolfram Web Resource, created by Eric
W. Weisstein . http://mathworld.wolfram.com/DisjunctiveSyllogism.html

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