In case you're looking for a talking point for your next cocktail party, you might also be interested in knowing that degeneracy pressure (of electrons, rather than neutrons) are also what hold up white dwarves.
I can quite definitely state that I've never been to a party where that kind of observation would gain anyone's attention. In fact I'm picturing the audience backing away slowly, looking around for someone---anyone---else to talk to. Not sure if that's good or bad.