OnceUponATime
Wicked
Freeze, for sure. I love the cold weather and just being cold. I hate humidity and hotness. I hate heat.
Burn to death; it'd be quicker probably, and honestly I hate the cold.
I would want to freeze to death. Heat is awful.
Again. I would rather just not die. Why is that not an option?
Great, I get to choose between two options, both involving intense discomfort of extreme temperature conditions. Why choose? They're basically the same thing.
People always miss the point
There is a difference
If both options involve your death, then why don't you focus your attention on what happens after your death
If you burn to death, your body is lost forever
If you freeze to death, your body is still intact, so you still have a chance to leave a legacy in the world using your own body
Make a funny face. Strike a seductive pose. Express yourself any way you want. When you freeze to death, you could be stuck like that forever.
Sorry to butt in, but that's not really how frostbite and burns work. When you're injured with heat, you're not burning the same way paper or wood does. All you're doing is cooking yourself. There's deep tissue burns that could seep all the way down beneath the skin and affect the internal organs. If it's not treated, then you die... because your injuries have gone septic.
Meanwhile, when you freeze, you're not freezing your body like a human popsicle. You're... doing the exact same thing. Frostbite happens exactly like a burn in many ways. You damage the tissue, and the damage seeps all the way down to affect your organs. More likely, though, you're actually going to die of the aftereffect: the part where the gangrene hits your organs. In fact, the fun thing about being frozen is that if you survive the hypothermia but fail to get medical attention ASAP, your body parts will fall off thanks to the gangrene, so you won't even really be stuck like that forever. Really, it's probably not even remotely the prettiest death.
Alternatively, you die of hypo- or hyperthermia first, and at that point, the effect is still pretty much the same.
But yeah, either way, both burn and freeze victims leave behind bodies, and they'll probably be in very similar states because what extreme temperatures do to the human body are actually not that different. The only difference, really, is that burns tend to happen on the contact point, whereas thanks to the way the circulation system works, frostbite will happen first on your extremities. Assuming, of course, we're not saying you decided to take a bath in liquid nitrogen or something creative like that.
That being said, to answer the poll, it's a tough one. On the one hand, being burned to death is pretty much a faster way to go (depending, of course, on the method we're talking about here, given how fast that liquid nitrogen bath could be). On the other, that also means that if someone could come along and save me, they could if I'm being frozen to death. Not to mention there's more ways to survive the situations in which you'd die of cold than there are ways to survive dying of heat. (Stuck outside in subzero temperatures? Keep moving. Soaked and in the same situation? Get a fire going.) So, yeah, probably the cold.
(And this tl;dr post was brought to you by "science is pretty ****ing awesome." And the letter Q.)
I always imagined it as "fall in a volcano" or "freeze in a block of ice"