In reply to Milesy: We've just laid approx 65m2 of oak flooring. That doesn't make me god or anything and I could be wrong but I think NOBODY recommends having a floating floor for hardwood. A floating floor is simply where the floor is laid but not fixed. The tongue and groove makes no difference.
Over time it is possible and likely that you will get movement due to seasonal changes in moisture levels and / or variance between moisture content of wood and that of your house. This movement can result in bowing, contraction, bending etc. Fixing reduces potential for this.
If laying direct onto a concrete slab the slab should be thoroughly dried first - something like a month's drying time per inch of slab (obviously if the solid floor has been down forever this is irrelevant). Damp proof membrane is then laid. I GUESS you can then just fix through flooring into slab, using suitable fixings. Standard practice (I think!) is however to lay softwood battens and then fix (using secret nailer through tongue) the floor into these.
I don't know why you don't just lay straight onto slab, perhaps it's to do with ensuring any height differences and irregularities are taken out / diminished.
I suggest a bit more homework before you start laying...