They are necessarily connected to you, just available through Apple's Appletalk sharing system.
Go into your firewall settings and just turn off file-sharing, remote connect, and all that stuff and you will be fine.
whats appletalk sharing system? is the useful? or good to use?
so is jay and the other computer actual people?
Are you on a network like say at a College dorm or apartment building internet?
Are there any other computers, Windows computers on your network? How are you connected to the Internet? You sure Airport (WiFi) is turned off? How about Bluetooth? Network users can get into Bluetooth also.
Just to elaborate on what the others have said...
If there are other computers on your network that have file sharing services turned on, the Finder may display those computer names as shown in your screen shot. If you are on a public network, there is no cause for concern. If it's a private network, it might be alarming. You've said you're connected via Ethernet, is the other end of that Ethernet cable connected to a router? If so, is that router a wireless one?
im on a private network from home. im connected to an att modem thats also a wireless router. so does that mean other people are connected to my internet?
That's exactly what it means. Better lock that wireless down or turn the wireless off completely if you don't use it.
Agreed 100%.
Do you have any encryption set up on your routers wifi connection? If so is is WEP, WPA, WPA2? I would suggest WPA or WPA2 to keep people from using your WiFi.
uh...not really sure how you do that cuz im new with att..i used to have comcast and netgear router which i new how to controll and everything but this i havent really figured out this new router
well for my other comps and ipod touch it wont let me connect to the wirless without entering a password which is the number on the back of the router. does this mean its already security enabled? i dont see how other people can connect to my internet unless they know the number on the back of the router too
Well, your AT&T modem doubles as your router. So, you just need to figure out what its local IP address is in order to connect to its configuration web page. You can do this by determining your default gateway. If you can figure out what your IP address is (should be easy enough if you go to Applications => Utilities => Network Utility), then on the Info tab, choose Network Interface en0 (or en1 for Ethernet). Your IP address is probably either 192.168.1.xxx or 192.168.0.xxx. Whichever one it is, the default gateway would have an address of 192.168.1.1 or 192.168.0.1 (just substitute a .1 for the last number of your IP address).
Now, once you have that, just open a web browser, type the address into the address bar and you should be able to log into your router's configuration page. You may need to supply a username and password. This should be covered in your manual. Then, you'll have access to your wireless settings. If you don't need it, turn the wireless off entirely. If you do, make sure you set the encryption/security settings to "WPA" or "WPA2". You'll need to choose a password (this will be needed when connecting wirelessly) and that should be it.
If this all sounds way too complicated, give AT&T's tech support a call and have them walk you through it.