Lorraine, has come out strongly, saying "Individual subjects (i.e. particles, atoms, molecules, cells, and other living things) are the carriers of all information and relationship in the universe", "Space merely exists as a relationship between other information; it has no existence of its own", "Space is not a fundamental entity that carries information and relationships. Space SEEMS to have geometric properties because space is DERIVED FROM properties and relationships". Georgina, is a bit more circumspect, saying, "All it requires is that there is something present even in a vacuum that acts as the medium of transmission of waves...". Tom, is difficult to place either for or against, but whosoever is not for us is against us :), "...space has no physical existence independent of spacetime.". If I interpret him correctly, space has no physical existence, but spacetime does physically exist. This modern resurrection or justification of Newton is called 'substantivalism' and the web is full of information about this. You can google and see the various views. My contention is whether it is fair to wrongly crucify Newton earlier only to appeal to such a concept today thereby resurrecting him without apologizing to his family :).
The view that space and time are actual entities generally represents the Newtonian position, while the view that they are determinations or relations of things, the Leibnizian position.
Now, while Lorraine is entitled to her opinion, before they become hardened views, perhaps she would care to take a look at Newton's Arguments from Causes, Properties and Effects and his Scholium that space exists independent of body. In this my post I would want to make Argument from cosmology, i.e. if there was a beginning from nothing, a current expansion of the universe and a possible collapse back to nothing. As the universe is expanding, it is not expanding into a pre-existing space but rather more space is being created between galactic clusters (the 'markers' of the expansion). From Lorraine's position it is the motion of the markers that gives rise to the increased space between them, likewise when there is collapse, the motion of the markers cause reduced space between them. Now, it is a principle of physics, the action-reaction principle, that anything that can be affected must also be capable of affecting others. That is anything that can be acted upon must also be capable of acting (or reacting).
So arguing from Cosmology, can the mere motion of matter bring universal space into existence, expand and collapse it? Can matter move where there is no space? If this cannot be possible and there is no previously existing empty space into which galaxies are moving and expanding into, then the universal expansion we are seeing means space is being created independent of the marker's motion, rather it is the space expansion that the markers are tracing as depicted by Hubble's expansion. It therefore appears that while Space can convey the relationship between the markers, it is more than just that a 'relational' thing but something more. In a Crunch, if the space between the markers of expansion can be acted upon and caused to reduce then again it must be something more than relational according to the action-reaction principle. Newton as I quoted in my 2013 Essay stresses the importance of this action-reaction principle in deciding whether something is substantial or merely relational, viz. "...it is clear that they (philosophers) would cheerfully allow extension (space) to be substance, just as body is, if only extension could move and act as body can", "...space is capable of having some substantial reality. Indeed, if its parts could move..., and this mobility was an ingredient in the idea of vacuum, then there would be no question about it - parts of space would be corporeal substance". So, dear Lorraine, in addition to other arguments put forward by Newton, when you say, "Space can have no influence whatsoever on the things it seems to contain", cosmologically speaking this may not be correct, space created between galactic clusters makes them move apart. Therefore, it can act and can be acted upon. Space is substance.
Regards,
Akinbo