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The Collaborative International Dictionary of English v.0.48 (gcide)

Syllogism \Syl"lo*gism\, n. [OE. silogisme, OF. silogime,
sillogisme, F. syllogisme, L. syllogismus, Gr. syllogismo`s a
reckoning all together, a reasoning, syllogism, fr.
syllogi`zesqai to reckon all together, to bring at once
before the mind, to infer, conclude; sy`n with, together
logi`zesqai to reckon, to conclude by reasoning. See {Syn-},
and {Logistic}, {Logic}.] (Logic)
The regular logical form of every argument, consisting of
three propositions, of which the first two are called the
premises, and the last, the conclusion. The conclusion
necessarily follows from the premises; so that, if these are
true, the conclusion must be true, and the argument amounts
to demonstration;

Note: as in the following example:
[1913 Webster] Every virtue is laudable; Kindness is a
virtue; Therefore kindness is laudable.
[1913 Webster] These propositions are denominated
respectively the major premise, the minor premise, and
the conclusion.
[1913 Webster]

Note: If the premises are not true and the syllogism is
regular, the reasoning is valid, and the conclusion,
whether true or false, is correctly derived.
[1913 Webster] Syllogistic