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Jan 10, 2018 at 22:10 history edited Tom Leinster CC BY-SA 3.0
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Jan 10, 2018 at 18:17 comment added Steve Huntsman Boltzmann's grave has $S = k \log W$ inscribed on it: here $S$ is the entropy, $k$ is his eponymous constant, and $W$ is the number of configurations of a system. So this perspective dates literally to the beginning.
Jan 10, 2018 at 17:18 comment added Andy Thanks, there is also the proof of Shannon's coding theorem where it arises naturally. I feel like your example is related to entropy, but I don't see why we'd pursue it further from there (i.e condition entropy and such don't seem to generalize to your example).
Jan 10, 2018 at 17:11 history answered Tom Leinster CC BY-SA 3.0