Hello, EEVblog!
I have seen many videos / posts including Dave's video on how not to explode your oscilloscope, saying that the oscilloscope's ground is directly connected to the earth ground and that if you connect the ground lead of the probe in the wrong place a short circuit could occur. They also stated that if you wish to measure a device that is earth grounded you should use an isolation transformer, differential probes or if you are more extreme remove the ground pin from the oscilloscope power cable.
My question is, since the oscilloscope is earth ground referenced shouldn't you be able to measure mains by just connecting the positive lead of the probe, leaving the ground lead disconnected without any issue?