Eric B> ! avoid 3 Dim because unstable ... Four is perfect, unless not
"commutative" ... For "dimensions", infinity is quite too much
For any specific application, it's usually best to use whatever is
appropriate. And I agree that most people who use an ontology never think
about or worry about proofs in any dimension.
But please read the article I cited. It shows that the general case
(infinity) includes all the special cases as subtypes. Furthermore, it
also shows that proofs for the general case (infinity) are often simpler
than proofs for any of the special cases.
This fact is important for the people who are defining general principles
for ontology. The people who just work on specific problems never need to
worry about the proofs. But they do need assurance that the people who
define the general case know what they're doing.
John