set of classes

How are you defining "class"?

Why do you think it might not be possible?

I can think of a possible issue you could be thinking of, but I don't want to assume.
 
Can I define a set of classes? Is it possible?
If you have access to a good mathematics library look for a textbook SET THEORY by Charles Pinter. That text has an extensive discussion on the topic of sets verses classes. Actually your question is far to complicated to answer here.
 
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