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Destructive dilemma

A valid form of logical inference in propositional logic, which infers from two conditional and a negative disjunct statement a new negative disjunct statement.

Description

The destructive dilemma can be seen as a combination of two Modus Tollens, which are connected by a disjunct statement.

The term “dilemma” in this context should be understood as a “decision” between two conditionals.

Example

An example for a destructive dilemma could be:

If the sun shines tomorrow, [then] we will go to the beach.
If it rains tomorrow, [then] we will go to the museum.
Tomorrow we will either not got to the museum or not go to the beach [or both].
Therefore it will either not rain or the sun will not shine [or both].

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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