>> So "singleton" category can not be just one element set.
> 
> ??? By *definition* it is a category that contains just one domain.
> Are saying that this definition is inconsistent?

Sounds like both of you don't understand each other.

Let me use Aldor here...

---BEGIN aaa.as
#include "aldor"
C: Category == with;
D: C == add;
---END aaa.as

---BEGIN bbb.as
C: Category == with;
D1: C == add;
D2: C == add;
...
Dn: C == add;
---END bbb.as

In aaa.as C is a category that only has exactly one domain in it. But 
this is only true if I consider one fixed program.
As bbb.as shows that "singleton" category definition depends on the 
context. Thus, Waldek is right, that a category always contains 
(potentially) infinitely many domains (or in other words, one can define 
infinitely many domains to a given category).

Did I understand you intentions correctly?

Ralf

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