A couple of things here. A wood floor that works in the desert Southwest, or on the 30th floor of a Chicago highrise, may not always work on a slab on grade in another environment. The entire picture has to be considered.
Dr. Pizza has it very close to the floating subfloor and wood floor assembly I've had installed in my projects. Essentially they are built in place engineered floors that include much more than just the finished surface. Typically in a residence it starts with 6-10" of gravel capillary break under the slab, then a sealed layer of 6 mil polyethylene, 2" of rigid insulation, and a fully cured 4-6" reinforced concrete slab with radiant tubing. At that point there is no issue with moisture and pretty much any wood floor can be put on top.
When the customer wants solid hardwood a floating subfloor of alternating layers of stapled together plywood (usually 1/2" but sometimes thicker to meet finished floor height) is laid down and the wood floor is laid on top as normal.
Edit: Revisiting this I should add that I am in the Southwest US. There is less of a seasonal effect on floors and relatively dry soil conditions. Moisture problems are relatively easy to control. Also, in a city like Santa Fe people often don't want a "perfect" wood floor, they pay for floors with character to match the architecture. Some gaps, squeaks, finish imperfections, beat with chains, etc. are an expected and desirable upgrade. This is where managing expectations comes into play. Figuring out what the customer says they want, what they actually want, what they can afford, and what they will pay for, is way harder than actually building anything.
For those interested, see the National Wood Flooring Association's Wood Flooring Installation Guidelines and Methods, for more information. Specifically, Section II Chapter 5, for info related to wood over concrete.