You are wasting your time. Counter rationality is the
stock in trade of modern theoretical physics. A volumeless
object is, by definition, nowhere, and hence doesn't exist.
Neither does a mathematical point, even if it is described
by coordinates x,y,z. That is because coordinate measures
have some unit of measurement greater than zero, or they
would not exist, and thus cannot identify a location with a
resolution of infinity.

A true concept of a real mathematical point is the limit of
a volume that is reduced to being arbitrarily small (such
that its volume makes no significant difference to the
problem at hand) while never being actually zero, since
then it would cease to exist. A volumeless object is equal
to a mathematical point in a absolute sense, because both
descriptions are equal to the concept 'non-existence'. So
you can arbitrarily say 'it is a mathematical point' or 'it
doesn't exist', and you are right in either case.

What they are saying is that a volumeless object,
which, by definition, doesn't exist, has properties.
That is, something that doesn't exist has properties.

Modern orthodox physicists are the incurable victims of a
philosophical self-hypnosis, and humanity at large should
somehow be made aware of this fact.

Alen