We jump over categories and Hermeneutica directly to Prior Analytics?
here

A syllogism is discourse in which, certain things being stated, something other than what is stated follows of necessity from their being so. I mean by the last phrase that they produce the consequence, and by this, that no further term is required from without in order to make the consequence necessary.

This is the definition Aristotle gives for the syllogism.

By this definition a syllogism is very stringent. Aristotle defines the necessity of premise and term and their properties.

Are any question up to this point?