rules of the syllogism

1) There are only three terms in a syllogism (by definition).
2) The middle term is not in the conclusion (by definition).
3) The quantity of a term cannot become greater in the conclusion.
4) The middle term must be universally quantified in at least one premise.
5) At least one premise must be affirmative.
6) If one premise is negative, the conclusion is negative.
7) If both premises are affirmative, the conclusion is affirmative.
8) At least one premise must be universal.
9) If one premise is particular, the conclusion is particular.
10) In extensional logic, if both premises are universal, the conclusion
is universal. (See DARAPTI, etc., and “In Defense of Bramantip”)

via: http://www.friesian.com/aristotl.htm

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