| The world's multiplicity (at any one time) rests on spatial relations. |
The world's multiplicity (at any one time) rests on delimiting surfaces. |
| Space is the totality of existing spatial relations. |
Space is an intrinsically and completely differentiated, self-existent (i.e., substantial) expanse. |
| Spatial extension is a quality of spatial relations. |
Spatial relations owe their spatial quality to a pre-existent spatial expanse. |
| The only existing positions are the relative positions between material objects. |
Positions exist by themselves, even if they are not possessed ("unoccupied" or "empty"). |
| All existing positions are (more or less) fuzzy. |
All existing positions are sharp. |
| A particle without internal structure is a formless object. |
A particle without internal structure is a pointlike object. |
| The form of a spatially extended object consists of the object's internal spatial relations. |
The form of a spatially extended object is a bounding surface. |
| Considered by themselves, the ultimate constituents of matter are identical in the strong sense of numerical identity. |
The ultimate constituents of matter are distinct individual substances. |
| Two particles can simultaneously possess the same (fuzzy) position.(1) |
No two objects can simultaneously have the same position. |
| A particle can be simultaneously in (what we tend to think of as) different places.(2) |
No object can be in two places at the same time.(3) |
| The spatiotemporal differentiation of the physical world is incomplete. It doesn't go all the way down. |
The spatiotemporal differentiation of the world is complete. |
| Appropriate models of the physical world must be constructed from the top-down. |
Models of the physical world can be built from the bottom up, on an intrinsically and completely differentiated spacetime manifold or out of a multitude of individual substances. |
| Properties and values exist (are possessed) only if, only when, and only to the extent that they are measured. |
Properties and values exist regardless of measurements. |