Light and space

When people talk or write about creation of the world in the context of the Bible, they usually take the existence of three-dimensional (3D) space and time for granted.  Philosophers would say, they make an unexpressed assumption about the 3D space and time.  It seems to me that proponents of the Big Bang theory also make such an assumption (please correct me if I am wrong).

Scientists argue that space has 6 dimensions, and may be some other number.  When we talk about 3- or 6- or n-dimensional space, are we talking about the same concept, or the first few dimensions are only about space?  Can 3D space, or the concept of 3D space, with probably inclusion of the fourth dimension of time, exist on its own without involving other dimensions? Read more of this post