On the contrary. If you add values to your set, the minimum can only become smaller (or stay equal). So, if you remove values, the opposite should happen: the value can only become larger (or stay equal). Removing all values should therefore give you a minimum as large as possible.
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I was going to write something about the maximum of empty sets, but I see that @Vsotvep has edited the post 
Anyway, Iâd like to submit the Koan:
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Guess:
The distance between two groups is never a multiple of 4.
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Ooo, looks fun ^^
How about these koans?
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Guess: There are exactly 5 empty intersections which are adjacent to more than one chain.
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Very nice guess! But nope.
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How about these?
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I wouldnât mind a bit less guessing and a bit more discussing, by the way 
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Hmm, itâs so hard to know in which direction to be thinking without more data.
This is the most complicated koan so far, can we notice some interesting properties it has?
We know that the rule somehow must refer to the color of chains (koan 64 vs 85) and it cannot be only about the chains and their liberties, their relative positions matters too (koan 64 vs 82).
In koan 70, i notice that all the black chains are of distinct sizes (1, 2, 3, 4). Likewise for the white chains with sizes (2, 3, 5). However, in koan 84 (which is also green) there are chains of equal color and equal sizes.
In green koans 64 and 84, one thing that stands out to me are the shared liberties between black and white chains. In all green koans, there is an odd number of such liberties. However, koan 90 shows that this is not the rule.
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Iâll give another complicated one, itâs just a game of Go:
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It does seems that the interaction starts at one space distance. I agree that shared liberties should be part of the rule somewhere.
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Off to bed now, good luck!
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What stands out to me in 70, but not in 96 is a bamboo joint between black and white.
So what happens with a bamboo joint vs an offset one?
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thats interesting. meanwhile 90 was redâŚ
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96 is the only koan so far that doesnât have the same number of Black and White stones and itâs red.
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85 only has Black stones
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