C++ Compiler Error C2280 “attempting to reference a deleted function” in Visual Studio 2013 and 2015

From [class.copy]/7, emphasis mine:

If the class definition does not explicitly declare a copy constructor, a non-explicit one is declared implicitly. If the class definition declares a move constructor or move assignment operator, the implicitly declared copy constructor is defined as deleted; otherwise, it is defined as defaulted (8.4). The latter case is deprecated if the class has a user-declared copy assignment operator or a user-declared destructor.

There is an equivalent section with similar wording for copy assignment in paragraph 18. So your class is really:

class A
{
public:
   // explicit
   A(){}
   A(A &&){}

   // implicit
   A(const A&) = delete;
   A& operator=(const A&) = delete;
};

which is why you can’t copy-construct it. If you provide a move constructor/assignment, and you still want the class to be copyable, you will have to explicitly provide those special member functions:

    A(const A&) = default;
    A& operator=(const A&) = default;

You will also need to declare a move assignment operator. If you really have a need for these special functions, you will also probably need the destructor. See Rule of Five.