If only you could build up AMPS and not die instead of Volts.... sigh......Show Image
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You can build up amps and not die. The short-circuit current of a lead-acid battery is many hundreds of amps, but if I bridge it with my hands I won't die.
You need 2 things.
1. voltage high enough to overcome your body's high resistivity.
2. a supply whose current limit is high enough to deliver.
So, for example, a van de graaff generator is safe because it can't push enough current, even though the voltage is certainly there. A lead acid battery won't work because there's not enough voltage to deliver the required current.
Some things will absolutely meet both requirements and are extremely dangerous (at which point, I like to mention tesla's laws of working with High Voltage) but the whole "voltage vs current killing you" is almost always an oversimplification.
Oh the final thing is that it has to run through the wrong part of your body. I've run almost-certainly-lethal amounts of power through parts of my body but nothing through the torso.