An unmelted ice cube is lower entrope, which means there are far fewer ways to arrange water molecules in a glass of water. The chance that any one of those ice cubes would unmelt is very, much, much longer than the age of the universe. If it weren't for that boundary condition either, depending on what else you conditionalize on? Either there just wouldn't be any ice cubes in the universe.
Welcome to the September 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questions asked by Patreons, whittle them down to a more manageable size — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!
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