In the fight scene between O Ren Ishii and Uma Thurman outside in the snow, it is snowing, so the temperature must be minus something and yet one cannot see their breath!! A simple mistake that should not have been overlooked.
I believe that fight wasn't actually outside. I don't mean that is was a movie set. In Japan, they actually have rooms filled with fake snow that even falls from the ceiling. They are popular at restaurants and clubs.
There are restaurants/clubs in Japan that have special rooms which simulate snow. This is a pretty easy mistake to make since most people who haven't visited Japan don't know about them. There are clues that this room is just that: a room not outside. I forget all but the most common sense ones, i.e. no breath, the previous outside scene had no snow, and this room's door is on the second floor, so opening it would not lead you to ground level.
Tarantino likes to make movies in particluar genres and imitate elements of that genre. In a special on the making of the movie he said that he wanted this to be his "classic samurai dual in the snow" scene. It isn't necessarily supposed to be consistent with the weather in the surrounding scenes. In fact, it's inconsistancy with the weather you would expect based on the surrounding scenes is precisely what makes the scene so delightful and interesting. Complaining about this would be like complaining that the animated section was a "slip-up" because the rest of the movie has real people. It was done for artistic purposes, not for the sake of realism.
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