Now given that definition (whatever it is), does it make sense to have multiple copies?
Multiple copies of what? of the singleton? then no that is the whole reason I want to make all the constructors private.
So that the compiler won't make default constructors thus allowing people to make more then one copy of my singleton.

I want to control the creation of the singleton instances, so as to limit the number of instances to one! but the compiler will create a default constructor and a default copy constructor thus allowing someone to create as many copies as he wants. That is why I want to define private constructors so nobody would be able to create more then one instance of the singleton.

I am not sure tho whether I need a const one and a non-const one.

Thanks.