I've googled this and yes it had been discussed but I still don't understand why this is a big no no
There are many people who will not heed safety advice unless they can be made to understand *WHY* a certain practice is unsafe.
* What problem is solved by floating a 'scope?
and
* When might I want to do it?
The only correct answers are:
a) Get a differential probe
or
b) Use AC coupling.
Back then in this thread referred to 1980s. By then differential amplifiers with excellent CMRR and bandwidth were available (Tek 7A13, 7A22, plus plugins from the 500 and 5000 series), as were high voltage probes (including the P6015 if you wanted to go crazy). Also 200-series battery powered isolated scopes (e.g. Tek 200 series that could float up to 700V on battery power) and A6902 isolated probes.
I attached a snippet from the Tektronix 1982 catalog to see what they wrote back then about floating scopes. I find it high unlikely that the major scope manufacturers, Tektronix and HP (who together accounted for about 93% of the scope sales, at least in the US), were endorsing floating scopes in the 1980s.
Tektronix was still selling the A6901 Ground Isolation Monitor in 1991 although it only allows floating an oscilloscope or other test instrument to 40 volts. I have noticed before that where manufacturers bothered to specify it, the floating voltage specification is usually 40 to 50 volts and I wonder where that number comes from over such a long period of time. It is suspiciously close to the common definition of the maximum of "low voltage".
(1) One reason I really like the 7A13 is that its cascode input amplifier operates on +/-50 volts allowing a +/-10 volt common mode input range on its most sensitive settings where no attenuation is used so noise is low. The only comparable modern instruments that I know of are the differential amplifiers made by Preamble who was bought by LeCroy and if you can afford one of those, then you can afford a modern DSO with isolated inputs.
Tektronix was still selling the A6901 Ground Isolation Monitor in 1991 although it only allows floating an oscilloscope or other test instrument to 40 volts. I have noticed before that where manufacturers bothered to specify it, the floating voltage specification is usually 40 to 50 volts and I wonder where that number comes from over such a long period of time. It is suspiciously close to the common definition of the maximum of "low voltage".
Probably limited by what the relevant standards considered safe to touch at that time. For example, all Tektronix products would have passed UL testing.
(1) One reason I really like the 7A13 is that its cascode input amplifier operates on +/-50 volts allowing a +/-10 volt common mode input range on its most sensitive settings where no attenuation is used so noise is low. The only comparable modern instruments that I know of are the differential amplifiers made by Preamble who was bought by LeCroy and if you can afford one of those, then you can afford a modern DSO with isolated inputs.
A scope with isolated inputs will work if you can tolerate the low impedance from the reference lead to chassis. Tektronix specifies the capacitance to chassis for the THS720 as 55 pF typical. That is a lot higher than a differential amplifier with attenuating probes, or a differential probe.
There are many people who will not heed safety advice unless they can be made to understand *WHY* a certain practice is unsafe.The danger in that is that you are going to explain how to do something which is dangerous 'safely' and very likely important bits are left out or interpreted wrong. Besides that taking measurements using floating mains takes acquiring discipline through training & mentoring which cannot be replaced by a few posts on a forum.

I'll add more fuel to the fire. I can't recommend anyone doing this, but I do it cause I know exactly what I'm doing so please don't waste your time critizing me, ok fellas?.

Just floated my Micsig tablet scope to 620V to measure the Vgs of a switching mosfet. Of course I did set the scope vert and horiz before energizing the circuit and I didn't touch the screen afterwards. Also, the scope was placed in a wooden surface and the probe cable didn't go near metallic areas.
Just floated my Micsig tablet scope to 620V to measure the Vgs of a switching mosfet. Of course I did set the scope vert and horiz before energizing the circuit and I didn't touch the screen afterwards. Also, the scope was placed in a wooden surface and the probe cable didn't go near metallic areas.
.
TN-C, for example, obsolete for now, but still present at many many countries, predominantly at old buildings, do not propose any third PE (ground) conductors in mains outlet.
All that you have - this is Phase conductor and Neutral (PEN) conductor in your mains. In this case your modern scope will be always float!
I have to ask: Were you measuring Vgs of a high side MOSFET in a half-bridge, where the common mode voltage is a giant square wave or similar? Did you get a decent waveform? Is it believable?
If you wire with two wires, the earth contact in the socket should be connected to the neutral wire/contact (the PEN wire you mention) within the socket.
PPS. The water circulating radiator under your workbench where you rest your feets seeking a warmth is also propably a directly grounded.. What a nice electrocution chair there.
If you wire with two wires, the earth contact in the socket should be connected to the neutral wire/contact (the PEN wire you mention) within the socket.This is completely stupid. This is prohibited in Russian standards. If during any works at mains, phase's and PEN conductor will changed each other before branching to your socket, that is means that you'll have phase at your ground contact in socket.
PEN should be divided to PE and N at building central switchboard or floor central switchboard and PE should not be interrupted after that division.
Never make connecting ground contact to "neutral" contact directly in socket!
I see, that you very experienced at electrical safety and have knowledge about (I)T(N)-(C)-S and etc. protective grounding schematic, but still telling about evident's safety errors.
TN-C, for example, obsolete for now, but still present at many many countries, predominantly at old buildings, do not propose any third PE (ground) conductors in mains outlet.
All that you have - this is Phase conductor and Neutral (PEN) conductor in your mains. In this case your modern scope will be always float!

PPS. The water circulating radiator under your workbench where you rest your feets seeking a warmth is also propably a directly grounded.. What a nice electrocution chair there.
I got a shock every time I simultaneously touch the radiator and my laptop (that has metal enclosure). Why is it so?