How many possible gismu?
This question is not of any immediate practical importance; I am _not_
suggesting or considering making any new gismu; however, I am not
saying that I would absolutely never approve of it during the
baseline period, but it would take some highly unusual (and extremely
unlikely) events for me to do so. What I am imagining is a future
where Lojban has a large base of users, and on rare occasions a
concept is found to be so commonly used and so important that it
would unreasonable to deny it a gismu.
The question I really want answered is: What is the _smallest_ number
of new gismu that could fill up gismu space? — remember any gismu,
current or proposed, blocks up other possible gismu: "If the proposed
gismu was identical to an existing gismu except for a single
consonant, and the consonant was 'too similar' based on the following
table, then the proposed gismu was rejected." This is in addition to
the rule that two gismu can not differ in only the final vowel; the
brod-series is an exception. (In retrospect, it would have probably
have been better to use rafsi cmavo for the assignable pro-bridi, but
it's to late to change now.)
So as I've said I really want to know: What is the _smallest_ number
of new gismu that could fill up gismu space? However, I don't see a
way to answer that except by a brute-force algorithm, so I thought to
answer the simpler question: What is the _smallest_ number of gismu
that could fill gismu space, starting from an empty gismu space?
However, I have not been able to think of a way to answer that without
a brute-force algorithm, either; because it is possible for two gismu
to block up some of the same "possible" gismu.
The reason that I ask this is that in the future that I imagine in
the first paragraph, I want to know how "extensible" the set of gismu
is. I ask for the _smallest_ number on the assumption that maximizing
the number of possible gismu will not be a consideration early on; so
finding the worse possible filling would, if anything, underestimate
the number of gismu that would have to be created in this
hypothetical future to fill gismu space.
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