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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
syllogism
/sil'oh-jiz`*m/ Deductive reasoning in which a
conclusion is derived from two premises. The conclusion
necessarily follows from the premises so that, if these are
true, the conclusion must be true, and the syllogism amounts
to demonstration. To put it another way, the premises imply
the conclusion.
For example, every virtue is laudable; kindness is a virtue;
therefore kindness is laudable.
Strangely, a syllogism can still be true if the premises are
false.
Compare inference rule.
[Relationship between premises?]
(2009-10-28)