User:FloraC/Critique on D&D's terminology: Difference between revisions

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== "Simple map" ==

"Simple map" is D&D's ~~replacement~~ for ''generalized patent val'' (''GPV''). I have forgotten if it was me who suggested the term when they were discussing it, because it does look like one that I could come up with, in the same way I suggested ''simple JI''. Unlike ''simple JI'', the main problem of ''simple map'' is again lack of specificity while taking on a very specific and rigorous meaning. ''Simple'' and ''complex'' are definitely reasonable qualities of a ''map'', which means ''val''.

''Simple map'' is D&D's replacements for ''generalized patent val'' (''GPV'').

''~~Patent~~'' ~~lends itself much better to naming mathematical concepts since~~ it ~~is not an everyday word~~. ~~The phrase~~ ''~~patent val~~'' ~~does not make literal~~, ~~everyday sense~~. ~~The only possible occurrence~~ of ~~the phrase would be in the mathematical sense~~.

I have forgotten if it was me who suggested ''simple map'' when they were discussing it, because it does look like a term that I could come up with, in the same way I suggested ''simple JI''. Unlike ''simple JI'', the main problem of ''simple map'' is again lack of specificity while taking on a very specific and rigorous meaning. ''Simple'' and ''complex'' are definitely reasonable qualities of a ''map'', which means ''val''.

My suggestion: ~~Use~~ ''generalized patent val'', or ''~~GPV~~''.

''Uniform'' and ''patent'' are much better at naming mathematical concepts. These words are rather literary, which lends themselves to carrying complex or subtle meanings, and effectively staying clear of any connotations. ''Patent val'' or ''integer uniform map'' make no everyday sense. The only possible occurrence of the phrases would be in the mathematical sense. I consider that to be of top importance in our choice of terms.

My suggestion: use either the combo of ''patent val'' and ''generalized patent val'', or ''uniform map'' and ''integer uniform map'', but see below.

== "Uniform map" and "integer uniform map" ==

The other philosophy embedded in ''uniform map'' and ''integer uniform map'' is a turn of conceptual framing:

For patent vals and GPVs, patent vals are considered the base case, and GPVs a generalization thereof, whereas for uniform maps and integer uniform maps, uniform maps are considered the base case and integer uniform maps a specialization thereof. There is an argument that uniform maps are the more fundamental and important concept to regular temperament theory and therefore that this framing is the superior of the two.

</div>

Yet think of how we learned division. It is the same cognitive process: we first divide things by integers, and then we learn to extend the divisors to non-integers. That leads to the reason why the base name of ''patent val'' is arguably more friendly to our minds.

My suggestion: Use ''patent val'' and ''generalized patent val''.

== "Enfactoring" ==

@@ Line 81: / Line 81: @@
 == "Simple map" ==
-"Simple map" is D&D's replacement for ''generalized patent val'' (''GPV''). I have forgotten if it was me who suggested the term when they were discussing it, because it does look like one that I could come up with, in the same way I suggested ''simple JI''. Unlike ''simple JI'', the main problem of ''simple map'' is again lack of specificity while taking on a very specific and rigorous meaning. ''Simple'' and ''complex'' are definitely reasonable qualities of a ''map'', which means ''val''.
+''Simple map'' is D&D's replacements for ''generalized patent val'' (''GPV'').
-''Patent'' lends itself much better to naming mathematical concepts since it is not an everyday word. The phrase ''patent val'' does not make literal, everyday sense. The only possible occurrence of the phrase would be in the mathematical sense.
+I have forgotten if it was me who suggested ''simple map'' when they were discussing it, because it does look like a term that I could come up with, in the same way I suggested ''simple JI''. Unlike ''simple JI'', the main problem of ''simple map'' is again lack of specificity while taking on a very specific and rigorous meaning. ''Simple'' and ''complex'' are definitely reasonable qualities of a ''map'', which means ''val''.
-My suggestion: Use ''generalized patent val'', or ''GPV''.
+''Uniform'' and ''patent'' are much better at naming mathematical concepts. These words are rather literary, which lends themselves to carrying complex or subtle meanings, and effectively staying clear of any connotations. ''Patent val'' or ''integer uniform map'' make no everyday sense. The only possible occurrence of the phrases would be in the mathematical sense. I consider that to be of top importance in our choice of terms.
+My suggestion: use either the combo of ''patent val'' and ''generalized patent val'', or ''uniform map'' and ''integer uniform map'', but see below.
+== "Uniform map" and "integer uniform map" ==
+The other philosophy embedded in ''uniform map'' and ''integer uniform map'' is a turn of conceptual framing:
+<div style="font-style: italic; border: 1px solid silver; margin: 15px; padding: 15px;">
+For patent vals and GPVs, patent vals are considered the base case, and GPVs a generalization thereof, whereas for uniform maps and integer uniform maps, uniform maps are considered the base case and integer uniform maps a specialization thereof. There is an argument that uniform maps are the more fundamental and important concept to regular temperament theory and therefore that this framing is the superior of the two.
+</div>
+Yet think of how we learned division. It is the same cognitive process: we first divide things by integers, and then we learn to extend the divisors to non-integers. That leads to the reason why the base name of ''patent val'' is arguably more friendly to our minds.
+My suggestion: Use ''patent val'' and ''generalized patent val''.
 == "Enfactoring" ==