[ubuntu] Connecting without modem on

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http://ubuntuforums.org – I use century link as provider. I can connect to ubuntu with out turning router on,, Why? I am concerned about privacy issues! Where or what am I connecting to? Using Dell laptop with wireless modem. Wireless connection not linked to modem because power to that modem in off. I live in apt complex where a linux connection registers as poor but does not indicate I am connected. What's happening here? (Hardware)