From brain driven development
  It turns out, that every Function you’ll ever define in Scala, will
  become an instance of an Implementation which will feature a certain
  Function Trait.
  
  There is a whole bunch of that Function Traits, ranging from Function1 up to
  Function22. 
  
  Since Functions are Objects in Scala and Scala is a statically typed
  language, it has to provide an appropriate type for every Function
  which comes with a different number of arguments. If you define a
  Function with two arguments, the compiler picks Function2 as the
  underlying type. 
Also, from Michael Froh's blog
  You need to make FunctionN classes for each number of parameters that
  you want? Yes, but you define the classes once and then you use them
  forever, or ideally they're already defined in a library (e.g.
  Functional Java defines classes F, F2, ..., F8, and the Scala standard
  library defines classes Function1, ..., Function22)
So we have a list of function traits (Scala), and a list of interfaces (Functional-java) to enable us to have first class funtions.
I am trying to understand exactly why this is the case. I know, in Java for example, when I write a method say, 
public int add(int a, int b){
    return a + b;
}
That I cannot go ahead and write 
add(3,4,5);
( error would be something like : method add cannot be applied to give types )
We simply have to define an interface/trait for functions with different parameters, because of static typing?