Fallacy of exclusive premises

From Wikipedia, the free encyclopedia

The fallacy of exclusive premises is a formal fallacy committed in a categorical syllogism that is invalid because both of its premises are negative.

Example:

No mammals are fish.
Some fish are not whales.
Therefore, some whales are not mammals.

It is a syllogistic fallacy because at least one premise of a given syllogism has to be affirmative.

Formal fallacies
v  d  e
Argument from fallacy | Fallacy of modal logic | Masked man fallacy | Appeal to probability
Fallacy of propositional logic:
Affirming a disjunct | Affirming the consequent | Commutation of Conditionals
Denying a conjunct | Denying the antecedent | Improper Transition
Fallacy of quantificational logic:
Existential fallacy | Illicit Conversion | Quantifier shift | Unwarranted contrast
Syllogistic fallacy:
Affirmative conclusion from a negative premise | Negative conclusion from an affirmative premise
Exclusive premisses | Necessity | Four-term Fallacy | Illicit major | Illicit minor | Undistributed middle
Other types of fallacy

This article was originally based on material from the Free On-line Dictionary of Computing, which is licensed under the GFDL.


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