Well then, please define space.
Like we keep telling you, you need more mathematics to truly understand how space is defined. If we tell you that in relativity, space is a 4 dimensional Riemann manifold with the Minkowski metric tensor, and where coordinates transform according to the Lorentz equation,and then go on to show, mathematically, how this connects to gravity...well, this is all graduate level mathematical physics.
There's probably someone on the boards who does this for a living. I just had the one graduate course in relativity, so I'm not an expert.
It's not just mathemaitcs without physics, however. We can make testable predictions that have been observed. The precession of the perihelion of the planet Mercury was explained by relativity.
If relativity is true, starlight should be bent by gravity, and light should be redshifted when leaving a gravitational source. Both have been observed many times.
And thats just for starters, in the string theory there are more dimensions...
Intuition and "common sense" just don't cut it. It is what it is.
Brian Greene (who does string theory for a living) has some books out on string theory for the popular reader. I highly recommend them e.g. "The Elegant Universe".