I just ran
sudo aptitude update && sudo aptitude dist-upgrade through PuTTY (SSH Client) on my Laptop, which was directed at my fresh Ubuntu server. Unfortunately I just realized I need to be out of the house with my Laptop and I'm worried that by exiting my SSH client or having my Laptop disconnect form the internet that the server won't continue updating!
What will happen if I turn my Laptop off now that the server is updating?!