When I hear the word "position", I always thought that referred to the scale degree that you started on. For example, if I play a G Major scale using a box pattern with my second finger on the 3rd fret of the E string, I thought I'd call that first position, since I'm starting with the first note of the scale (didn't matter that I'm using my second finger, or that I'm on the third fret). Now, I'm reading some material where the first finger on the third fret is called the third position (not sure what it would be called with my second finger there). Is this just different terminology by different people or am I misunderstanding?