Lots of what-if situations here...
Any idea where the water table is? Is there insulation and a plastic sheet underneath the slab? What about drainage pipe? While it is unlikely you have a post-tensioned slab, if you do, cutting it can be quite dangerous. To minimize cracking, you will need rebar, and yes, drilling into the existing slab then probably epoxying the pieces in is likely the best way (get some expert advice on that to be sure).
If I ever move and build a house, I think I'd do what a friend did - he has 10' ceilings in his basement! He uses it to store books, as he's a used book dealer, and the height is great. High enough to do almost anything from a big theater, etc.





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