It’s possible for something to be a useful shorthand even if the underlying facts are dubious (e.g., the “let them eat cake” line doesn’t come from Marie Antoinette but nonetheless illuminates the situation at the time; frogs will jump out of water if you heat it gradually but this stands in for a useful concept).
I’m not an expert-level Go player but my general sense is that Move 37 is in this same category. It was a surprising move, but it had a limited impact on the match and was not an optimal move as scored by stronger contemporary Go engines (thought it was a very good one). It didn’t shift the probability of victory, and Sedol’s move 38 was the optimal response to it as scored by Katago. It seems to have had a psychological effect because it was so surprising, but that’s possible even if a move is literally random (as famously happened with Kasparov and Deep Blue).
You can donwload Katago and work through this yourself.
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Interesting question. The “base” unit is largely arbitrary, but the smallest subunit of a currency has more practical implications, so it may also help to think in those terms. Back in the day, you had all kinds of wonky fractions but now basically everyone is decimalized, and 1⁄100 is usually the smallest unit. I imagine then that the value of the cent is as important here as the value of the dollar.
Here’s a totally speculative theory based on that.
When we write numbers, we have to include any zeros after the decimal but you never need leading zeros on a whole number. That is, we write “4” not “004″ but if the number is “0.004” there is no compressed way of writing that out. In book keeping, it’s typical to keep everything right-aligned but it makes adding up and comparing magnitudes easier, so you’ll also write trailing zeros that aren’t strictly necessary (that is $4.00 rather than just $4 if other prices you’re recording sometimes use those places).
This means if you have a large number of decimal places, book keeping is much more annoying and you have to be really careful about leading zeros. Entering in a price as “0.00003” is annoying and easy to mess up by an order of magnitude without noticing. Thus, having a decimalized currency with a really large base unit is a pain and there’s a natural tendency towards a base unit that allows a minimum subunit of 0.01 or so to be sensible.