notes-abstract-categorizations-catChQuasiQuantitative

By quasi-quantitative, i mean the idea of dividing quantities into a small number of buckets. An example of a quasi-quantitative categorization is 'low, medium, high', which divides quantities into the three buckets of 'low', 'medium', and 'high'.

(sort of like the idea of qualitative physics, except here we're just talking about the broad application of that concept in natural-language descriptions)

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low, high

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low, medium, high

a synonym for medium is moderate.

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(x,y) where x \in {low, medium, high}, y \in {low, medium, high}. That is to say, one of the following 9-item enumeration:

Using set builder notation, one would write this set as: {(x,y)

x \in {low, medium, high}, y \in {low, medium, high}}. However, it is not just a set, it is an ordered set:
  (a,b) <= (c,d)
    iff
  (a < b) or (a==b and c <= d).

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low, medium-low, medium, medium-high, high

"low" = (low , medium) "medium-low" = halfway between low and medium "medium" = (medium, medium) "medium-high" = halfway between medium and high "high" = (high , medium)

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