  A definition is given of seriate sets as being sets constituted out of
structured collections of objects which are recursively internally self-
similar. Fundamental (geometrical) objects of Dimension N are conceived to be
constituted out of seriate sets of fundamental objects of Dimension N-1,
starting with points assigned to Dimension 0. Syntactical rules to enable such
objects to be systematically named and combined, are set out. A series of
formal proofs of theorems relative to objects of Dimensions 1 and 2 are worked
through. A proof that four colours are sufficient to colour any five area map
is given in illustration.
  I know most/all will think all the above impossible, and necessarily the work
of some crazy. If it is wrong I believe it is wrong in interesting ways. The
underlying idea is easily grasped without working through the theorems given,
so I would be grateful to hear from anyone as to why it is wrong - and not
simply because it must be so.
