The issue in Figure 1 encodes a non-transitive informational dependency that is expressible in Hamblin-style or Ciardelli-Roelofsen (2011) inquisitive frameworks but not in partition semantics.
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Non-transitive(describing how similarities work in family resemblance)
A logical property where if A is related to B, and B is related to C, it doesn't automatically mean A is related to C; for example, 'is a friend of' is non-transitive because your friend's friend isn't necessarily your friend.
Partition semantics(a theory about how language and concepts get their meaning)
A way of understanding meaning by dividing up all possible situations into groups—where meanings are defined by which groups they apply to.