Flag this message private class methods- functionality or shortcoming?

Ruby
1

My apologies for resending but there were some formatting errors in the
code.

I just switched to Ruby and came across it.
If we have to make a class method private then we should write it as:

class Abc

class<<self
    private
    def fun
        p "hello"
    end
end

end

But if we write as:

class Abc

private
def self.fun
    p "hello"
end

end

then the class method is not private but behaves as public.

So, is it a carefully designed functionality? If so, then what is the
thinking behind it?
OR any other reasons behind it?
Somebody told me that ruby encourages to define class methods the first
way.
But I think that if you are giving more than one methods to do a thing,
then all should function the same way.

Thanks and Regards,
Amit