Okay, this makes sense. It's a far cry from the piece at the top of the thread. I've read much of this 4th way stuff way back in the spaces between. Before I found my will and intent. It didn't make sense then, either. It seemed then, and seems now, that it was intended to destroy the mind, to make it malleable to others' influence. It does not cleanse the mind to make it more efficient and supple, as say, Don Juan's techniques in "The Teachings of don Juan, A Yaqui Way of Knowledge".
I have heard the same thing be said of Don Juan's teachings but we know this not to be true. To the contrary it is quite the opposite where some believe that Don Juan's teachings make us more malleable others you and I believe they cleanse the mind to make it more efficient and supple.
In this case it is the same phenomenon. You because of your beliefs see Gurdjieff's techniques one way those who understand see it differently.
These types of misunderstandings happen in all areas were there is a specialized type of knowledge that others have not fully made themselves familiar with.
Others for example have considered me to be selfish because I make my self a priority, because I care for myself very much. Others see this as selfish and consider me to be more self important than others when in fact caring for myself the way I do is a different kind of self-importance that is empowering to me and others who meet me. Unlike egotistic self-importance that is harmful to others in its neglect of others. I know that to truly care for myself I must care for those around me.
As far as Gurdjieff's logic, using the same way of looking at it, Gurdjieff's logic is more holistic. The reason I am drawn to Gurdjieff is that I discovered the enneagram on my own as a child just by personal inspiration. I had never read a book about it it just came to me when I was thinking about opposites and balance. Logic as I'm sure you know is all about opposites and this is what makes the enneagram so logically complete. But, like raja has said no it is not "conventional" logic. I would compare it to the "logic" that nature fallows itself. Mankind may create it's own system but nature has a system already that we can not help but fallow often quite unconsciously, the enneagram simply reflects the logic of the patterns of nature itself.
In here though I am using the word logic in a different way. Not the logic man made but the logic of why the nature is the way it is. Why planets are round, why the earth rotates around the sun, why things flow in cycles etc etc.