I think you intended and
but I have no idea what thatis supposed to mean! I think those are intended to be sets but what does the "+" mean? And what are you trying to say about them?
As written, that post really has no clear meaning. I suspect you are using some sort of translation program.
Moreover, this must be part of a larger question. You should post the whole question.
It says that but says nothing about how .
I personally have never the term . Please define.
The posted question is unreadable in English.
It does not define very essential parts of the question.
The fact that it "clearly mentioned that are subsets of ", tells us nothing whatsoever about their properties.
No one can help with a totally unreadable question.
But if majamin read your question correctly, why in the world did you not post it clearly?
"What is the maximal number of subsets of S that no two have the property that neither is a subset of the other?"