Extended Socratic Syllogisms? I'm not entirely sure where I might ask this, but there is a logic tag, so I guess this fits the budget. I am taking an introductory course on logic, mainly revolving around Syllogisms, or a logical argument structured with two premises (ordered by terms) preceding the conclusion. I find them fascinating, but are there _extended_ forms of syllogisms? As in, is there a study in some sort of extended syllogism with three premises and a conclusions? Two premises and two conclusions? Or does the realm of syllogisms just end at "Syllogism?" Are there any books that cover this topic?

How about Lewis Caroll, in particular his book _Symbolic Logic_

**example**

> What conclusion may be drawn from:
> (a) No interesting poems are unpopular among people of real taste.
> (b) No modern poetry is free from affectation.
> (c) All your poems are on the subject of soap-bubbles.
> (d) No affected poetry is popular among people of real taste.
> (e) No ancient poem is on the subject of soap-bubbles.

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