The protesters I spoke with offered numerous reasons for the continued protests including the need to continue prosecutions for the Mubarak family. civilian trials rather than military trials for civilians, releasing of political prisoners including protesters who have recently been arrested, and requesting a council of civilians and military leaders to guide the country during this transition.
Unlike most Friday protests, I didn't see a single police officer or military officer when I was there, though I did hear that the authorities (-- not sure which branch--) had poured a lot of water on the grassy/dirt part in the middle of the Square to make it a big puddle so people couldn't camp out there after the protest. I left around 8:30pm and didn't see anyone setting up tents so perhaps no one will be spending the night. The curfew is still in effect, starting at 2am I think, so spending the night would mean risk of arrest for whoever stays.
The protesters were a very diverse group of all ages. I spoke to a few people who were fairly new to the protest scene. One woman said this was her third time to Square and that she decided she needed to be involved. I have a video of her and a few other people I interviewed in the Square tonight that I will be uploading over the next couple days for a later posting. Below is a photo of a man who sounded like it was his first time to Square. He came with his one and a half month old baby.
Some people were going around picking up trash in the Square during the protest. Here's on man lugging a big sack of trash.