A syllogism is an argument form used in logic which allows one to arrive at truth by a process of deduction. If both premises of the syllogism are true then the conclusion must be true. Let me give an example. Now let's take a look at the syllogism. Yes, it is true.
All men are mortal.
Yes, he was. The minor premise is true. If it is true that all men are mortal and that Socrates is a man then the conclusion that Socrates is mortal must be true also. If God loves everyone then He can't hate anyone. There it is.