No 6) Gravity is towards the center of mass
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If we were in space and started from scratch.

Say we had some water to the right of us and some rock to the left of us.

They would attract each other.

So the left would be down and the right would be up?

Why would below us be down.  It's two totally separate objects with nothing below them.  Why is below them down?
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It ISN'T.  There is no up or down in space!

Down is towards the center of mass!