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The fallacy of exclusive premises is a syllogistic fallacy committed in a categorical syllogism that is invalid because both of its premises are negative. [1] Example of an EOO-4 type invalid syllogism. E Proposition: No cats are dogs. O Proposition: Some dogs are not pets. O Proposition: Therefore, some pets are not cats. Explanation of Example 1:
The rule states that a syllogism in which both premises are of form a or i (affirmative) cannot reach a conclusion of form e or o (negative). Exactly one of the premises must be negative to construct a valid syllogism with a negative conclusion. (A syllogism with two negative premises commits the related fallacy of exclusive premises.)
Syllogistic fallacies – logical fallacies that occur in syllogisms. Affirmative conclusion from a negative premise (illicit negative) – a categorical syllogism has a positive conclusion, but at least one negative premise. [11] Fallacy of exclusive premises – a categorical syllogism that is invalid because both of its premises are negative ...
Affirmative conclusion from a negative premise (illicit negative) is a formal fallacy that is committed when a categorical syllogism has a positive conclusion and one or two negative premises. For example: No fish are dogs, and no dogs can fly, therefore all fish can fly.
Exclusive premises: Both premises are negative, meaning no link is established between the major and minor terms. Affirmative conclusion from a negative premise: If either premise is negative, the conclusion must also be. Negative conclusion from affirmative premises: If both premises are affirmative, the conclusion must also be.
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