> On Aug 30, 2016, at 3:22 AM, Jerzy Karczmarczuk 
> <jerzy.karczmarc...@unicaen.fr> wrote:
> 
> Could anybody justify this convention?


Here the empty set represents the set of all possible result values. That’s a 
meta-set or a set about things in the language. 

> An empty set is a legitimate piece of data. 

If you wanted a function to return the empty set as a piece of data, you would 
have to choose a set representation. 

In principle, you ought to be able to construct a singleton type that expresses 
that a function will return the empty set. 

— Matthias

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