What is the advantage of having a shorter scale neck on a guitar or a b?

I've been a devout Fender man for years, but a friend of mine is selling me a Les Paul Deluxe at a deal because he has to part ways with some of his collection. I notice the neck has a different feel to it, which I'm told because Gibson normally uses a shorter scale than Fender does. Is there an advantage to using a shorter guitar neck scale compared to the larger scale on my Stratocaster? Thanks in advance.