The structure of the logical syllogism involves premise statements and a conclusion. Generally, syllogisms are made up of three statements (two premises and a conclusion). In those three statements, there are three concepts that are related (A, B, and C). The Syllogism then becomes:
There is also a way to introduce a negative. (Note how this changes the order of the C relationship to A and B.)
The following videos give further explanations as well as examples.
Article link used in the video:
http://online.wsj.com/article/SB10001424052702303404704577311943943416560.html
Article link used in video:
http://minnesota.publicradio.org/display/web/2012/03/14/debate0315/