AlanF:
Nice post - well put
I've never gone for the 1x1x1=1 route either. It's a kiddies illustration, used in an attempt to avoid the polytheism issue.
It is absolutely meaningless.
Nice catch, on the polytheism, incidentally.
I have to agree, it's only worshipping more than one God that is condemed in the bible.
According to my understanding of Scripture the Word was God (John 1:1) but God isn't anywhere described as "the Word".
YHWH and Jesus are also ascribed to being God.
If the only "one God" principle is to be adhered to then God cannot be a title but must be a form of spirit being, or "substance".
(note use of capital "G")
I see no other meaning for it, other than contradiction (and I guess you know that I'm not quite ready to go there yet).
The whole area of theology is one of concept. After all, who can truly comprehend and explain the infinite?
ANY attempt to illustrate these concepts in human or physical terms or illustrations, fails.
Hence I tend to frown on the whole idea of using mathematics, states of water, or three-fingered gloves, to illustrate something that the proposers of those illustrations are barely grasping.
FYI, I lean heavily towards believing the Trinity as the best fit answer to the "God" conundrum.
Edited to add that the "version" of the Trinity I mean is "three persons, one substance - God" a higher order of spirit, just as man is a higher order of flesh (allegedly).