So I was just playing with my new scope when I hooked up my (ungrounded) probe the chassis of a desk lamp and to my surprise the scope measured a 60Hz sine wave of 60Vpp (+/-30V). I know induction can pickup some stray voltage, but 60V? Furthermore, the lamp and oscilloscope are plugged into the same power strip, so they should have the same ground reference and phase.
What's going on here?