There aren't many things I love more than silence. While I adore my husband and cat, some of my favorite hours of the day are late at night after everyone else is asleep, when I have total silence in the apartment. (Of course, this occasionally happens at other times, too, but not very often; I'm not alone in our apartment very much.)
I love it when there's no other noise around me except what I choose to create myself, by typing or walking to the kitchen to get a beer or whatever. No TV, no music, no video games. I love music, but I usually choose not to put any on during those times. If I can get silence, I want that.
There is no such thing as silence with little kids around. Unless they're asleep, and then it's a "Shh, don't wake the baby!" silence, not a peaceful, self-created silence. It seems to me like most parents I know can go weeks, months, or even years without that kind of silence.
I can't. Silent alone time is one of the things I don't think I can ever give up in life. Of course I don't get to have it all the time, but most days, I get at least one or two hours of it, and I really need that.