Posted 20 November 2011 - 11:47 AM
In the Network and Sharing Center, on the left side, click Manage wireless networks. Delete every instance of DeepThought (including ones with numbers).
Back in the Network and Sharing Center, click on one of park bench icons next to one of the networks (doesn't matter which one). In the window that pops up, click Merge or delete network locations. Once again, delete every instance of DeepThought (including ones with numbers).
Unplug the ethernet cable, and the first connection (DeepThought of type Local Area Connection) will go away. The reason the 2 is there is because you have two connections (not networks, per se) with the same name. The LAN connection is DeepThought, so the wireless connection has no choice but to be DeepThought 2. It's the same network, but with two connections to it.
After unplugging the cable, disconnect from the wireless network, then reconnect back. You should be prompted for your network key. After entering that, you should be connected to the wireless network DeepThought (with no 2).
If you have any trouble with any of those steps, don't hesitate to ask questions.