From the Apple reference for NSArray, in the Methods to Override section:
Any subclass of NSArray must override the primitive instance methods count and objectAtIndex:. These methods must operate on the backing store that you provide for the elements of the collection. For this backing store you can use a static array, a standard NSArray object, or some other data type or mechanism. You may also choose to override, partially or fully, any other NSArray method for which you want to provide an alternative implementation.
As a side note, in Objective-C, there is no actual feature that allows you to declare a class as an abstract class, per se, as in Java, for instance. So, what they do instead is call something like the code below, from within some method that they want to force to be overridden by a subclass. In effect, they give the class 'abstract class' semantics.
This method definition acts as an abstract method, which raises an Exception if not overridden, with the following output:
-someAbstractFooMethod only defined for abstract class. Define -[YourClassName someAbstractFooMethod]!
- (void) someAbstractFooMethod
{
//Force subclassers to override this method
NSString *methodName = NSStringFromSelector(_cmd);
NSString *className = [self className];
[NSException raise:NSInvalidArgumentException
format:@"-%@ only defined for abstract class. Define -[%@ %@]!", methodName, className, methodName];
}