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Modus Tollendo Ponens

Also abbreviated MTP. One of the elementary (valid) logical conclusion figures. It is based on a disjunction and has the form:

A ∨ B   –   A or B
¬A   –   not A

∴ B   –   therefore B

For example, the following is a valid MTP:

Today will be rain or fog.
There is no rain today.
Therefore there will be fog today.

Name

The name of this form can be freely translated as “method of infering an affirmative sstatement by denying”.

Other names

  • Disjunctive syllogism

Fallacies

As with other forms of logical reasoning, there are several fallacies that can on incorrect application of the MPT:

The following table compares the Modus tollendo ponens and the most important related fallacies:

See also

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About this site

Ad Hominem Info is a project to explain and categorize the most common systematic fallacies and fallacies. On this page, you will find a background article that briefly explains an important logical concept, which may be needed to better understand another article in this area.
For more information, please see the main category “logic

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