[jklingel]

My goal is not to make the floor level, however, make it plumb.

One of us is confused. Level is all in a horizontal plane, whilst plumb is a vertical plane. No? Do you mean "flat, but not necessarily level"? This may or may not be an option for you, and nothing is going to be cheap. I had a basement room that had as much as 5/8" vallies from the one spot I called "0". I glued a variety of plywood shims to the concrete, in a 2' grid. I then laid down two layers of 1/2" OSB, staggered joints, glued and screwed together. Over that, I installed fake wood floor. It's been there for 11 yrs now, and no issues I am aware of. If you wanted it more solid, you could Tapcon, or whatever, the plywood (I won't use OSB again) to the concrete here and there. If you have room and desire, insulate the floor with foam board first.

 

[jklingel]

I remember a product called ardex that was used to do exactly what you want ..and it was not that expensive..and dryed like a sheet of glass self leveling...

I wish I'd known of this in 2000. I asked 3 floor places, and none of them ever heard of anything that would really work. I knew there had to be something.... 135 shims, from 1/8" to 5/8" thick, 2"x2", was a major PITA, but the floor is in and doing fine.

 

[jklingel]

Caboom: Don't you usually have to acid etch and/or scruff up the old concrete first? I've never done either, but after a concrete company did a pathetic job pouring the floor at my son's, I called to ask about "fixing". They said that concrete will not satisfactorily stick to concrete. However, if their knowledge was anything like their work, neither was worth Jack Stink.

 

[jklingel]

OK. thanks.