Model B-Gone

Why Model B Numbering Should Start From Zero
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The Aldiode[1] quantifies moral value according to a metametaphysical form of set theory that can be expressed as a Venn diagram[2]. The members of the metametaphysical sets are quanta of moral value. The sets, on the other hand, are qualities[3].

In the Venn diagram[2] "spheres" refer to a metametaphysical object called romantic cluster. "Quadrants" refer to classical qualities, that is, metaphysical domains that can be contexts of events or situations.

The names of the smallest sets of the diagram, that is, the names of the qualities, are obsolete in the diagram. But the names of the clusters aren't because they haven't been used in research except once: when the diagram was created.

The Aldiode quantifies moral value according to the following form:

Let r and c be some natural numbers between [1,4].
Let r be the quantity of the members of the intersection of a cluster and a quality.
Let c be the quantity of the members of a quality without its cluster.
Let v be the quantity of the moral value of a quality.
If r > c then v = min(r,c).
Else          v = c - r.

As metaphysics, the Aldiode doesn't include an explanation for any quality whose moral value it doesn't quantify.

Socionics is psychology, so it doesn't need to include an explanation for any quality that isn't psychological.

But since Socionics doesn't try to even qualify - let alone quantify - anything non-psychological it cannot include any argument contrary to the following argument:

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Any power of zero equals zero, but the zeroth power of any non-zero equals one, and the first power of any natural number is its identity function. In any discourse in which no domain between the metaphysical and the psychological is defined, the quantities of "dimensions" in Model B refer to powers of the strength of the input of this function.

Let i refer to the information that is being processed by a function of a sociotype.
If the quality of i is 0, the function doesn't process information.
If the quantity of i is 0, the function doesn't receive input.
When a function processes information without having received input, the quality of i is non-zero but the quantity is zero.
Let q refer to the quantity that Model B associates to dimensions.
According to Model B the value of q is a natural number between [1,4].
To use a function for imagination is to have it produce output without an input, even though not all forms of producing output without an input are necessarily imagination.

Socionics doesn't account for imagination if function strength quantification in Model B starts counting from 1 because then these quantities aren't isomorphic to powers. But they need to be isomorphic to something else than "dimensions" because the mention of "dimensions" is clearly an attempt favour psychology over metaphysics, which is impossible to do in a good way because the scope of the domain of psychology is narrower.

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[1] https://pastebin.com/wJTu8hSJ
[2] https://imgur.com/a/Fd9EV
[3] https://pastebin.com/RgQXPYjL (in Finnish)