Re: Amok Time doesn't make sense.
And for all we know, maybe Kirk technically "flat lined" due to the drug and thus could be considered "dead" by the ancient laws. He was beamed up to the ship rather quickly, so we can only assume McCoy was able to restart his heart and breathing before brain damage set in.
Really, a shot of stokaline and all better!
Captain, logic dictates we get drunker than a Denebian slime devil