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Affirmative conclusion from a negative premise

Incorrect application of a syllogism by deriving an affirmative (positive) conclusion from a negative premise.

For example Open in Syllogism-Finder App:

All squares are rectangles.
No circles are squares.
Therefore, All circles are rectangles.


One fundamental rule for all syllogistic and similar inferences is that if one of the premises is a negative, the conclusion can only also be a negative statement. There are no valid syllogism forms that contradict this rule. Trying to construct one is a formal fallacy.

Furthermore, if both premises are negative, no conclusion can be inferred at all (Fallacy of exclusive premises).

See also

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