Lojban In General

Lojban In General


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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posts: 381

In a message dated 8/24/2009 19:02:46 Eastern Daylight Time,
fagricipni@gmail.com writes:


> 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.
>

This is precisely what lujvo and fu'ivla are for. New gismu would be
useful for brand-new *fundamental* concepts. That's not likely to happen very
often.

stevo

On Mon, Aug 24, 2009 at 7:12 PM, <MorphemeAddict@wmconnect.com> wrote:
> In a message dated 8/24/2009 19:02:46 Eastern Daylight Time,
> fagricipni@gmail.com writes:
>
>
>  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.
>
>
> This is precisely what lujvo and fu'ivla are for.  New gismu would be useful
> for brand-new *fundamental* concepts.  That's not likely to happen very
> often.
>
> stevo

I agree that even at the rate at which I am imagining new gismu to be
created — which may be ridiculously high — there would be no actual
problem in this regard for millennia. However, even though I can write
a program to implementing the brute force algorithm that I have been
able to come up with to answer my second question — What is the
_smallest_ number of gismu that could fill gismu space, starting
from an empty gismu space? — the program would based on my initial
guess be O(n!); I don't expect that the program would finish in my
lifetime. The first question — What is the _smallest_ number
of new gismu that could fill up gismu space? — might not be
answerable except by the brute-force approach; but there has got to
be a better way to answer the second — What is the _smallest_
number of gismu that could fill gismu space, starting from an empty
gismu space? — I've just not thought of it. Consider that question
as a mathematical puzzle question with the rules for Lojban being the
set-up for the question; one doesn't have to consider what inspired
me to ask the question; I mentioned because I thought the notion of
what inspired me to ask that question would be interesting, _not_
because I thought that it had any real _practical_ applications --
Mathematicians look for higher and higher pairs of amicable numbers
(http://http://en.wikipedia.org/wiki/Amicable_numbers) but as far as
I know it is not for practical applications of them.

Also, is a coincidence that your name "stevo" has the morphological
form of a gismu, but does not show up in even the "experimental gismu"
on the Lojban dictionary web search
(http://www.lojban.org/cgi-bin/dict.pl?Form=dict.pl1&Query=
&Strategy=*&Database=jbo->en&submit=Submit+query), as "gumri" does.
I personally will not use "la gumri" or the "la marca" that I remember
seeing discussed a long time ago on a different message forum.
"la marca" could be considered taking liberties with the morphology,
so if you are using "la stevo" in the same way, you can hardly
criticze me for my imagination since I'm just personally curious
about the mathematical answer to my question, and don't intend to
actually propose new gismu.


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posts: 381

In a message dated 8/24/2009 21:08:35 Eastern Daylight Time,
fagricipni@gmail.com writes:


> Also, is a coincidence that your name "stevo" has the morphological
> form of a gismu, but does not show up in even the "experimental gismu"
> on the Lojban dictionary web search
> (http://www.lojban.org/cgi-bin/dict.pl?Form=dict.pl1&Query=
> &Strategy=*&Database=jbo->en&submit=Submit+query), as "gumri" does.
> I personally will not use "la gumri" or the "la marca" that I remember
> seeing discussed a long time ago on a different message forum.
> "la marca" could be considered taking liberties with the morphology,
> so if you are using "la stevo" in the same way, you can hardly
> criticze me for my imagination since I'm just personally curious
> about the mathematical answer to my question, and don't intend to
> actually propose new gismu.
>

My name "stevo" deliberately has the form of a gismu, but when I use it in
Lojban, I always use "stevon". I never try to use "stevo" as a gismu. What
would be its meaning? "x1 is the person called "stevo" "?

mu'o mi'e stevon

posts: 381

In a message dated 8/24/2009 21:08:35 Eastern Daylight Time,
fagricipni@gmail.com writes:


> I agree that even at the rate at which I am imagining new gismu to be
> created — which may be ridiculously high — there would be no actual
> problem in this regard for millennia. However, even though I can write
> a program to implementing the brute force algorithm that I have been
> able to come up with to answer my second question — What is the
> _smallest_ number of gismu that could fill gismu space, starting
> from an empty gismu space? — the program would based on my initial
> guess be O(n!); I don't expect that the program would finish in my
> lifetime. The first question — What is the _smallest_ number
> of new gismu that could fill up gismu space? — might not be
> answerable except by the brute-force approach; but there has got to
> be a better way to answer the second — What is the _smallest_
> number of gismu that could fill gismu space, starting from an empty
> gismu space? — I've just not thought of it. Consider that question
> as a mathematical puzzle question with the rules for Lojban being the
> set-up for the question; one doesn't have to consider what inspired
> me to ask the question; I mentioned because I thought the notion of
> what inspired me to ask that question would be interesting, _not_
> because I thought that it had any real _practical_ applications --
> Mathematicians look for higher and higher pairs of amicable numbers
> (http://http://en.wikipedia.org/wiki/Amicable_numbers) but as far as
> I know it is not for practical applications of them.
>

This is an interesting problem. Doing it by hand might take a few days or
a week or two. How do you get O(n!) for it?

stevo

posts: 493

I've read your previous emails and am also not sure where O(n!) came from.
Could you put the requirements (input, expected output, rules, etc...) into
a short, concise list?

On Mon, Aug 24, 2009 at 9:47 PM, <MorphemeAddict@wmconnect.com> wrote:

> In a message dated 8/24/2009 21:08:35 Eastern Daylight Time,
> fagricipni@gmail.com writes:
>
>
> I agree that even at the rate at which I am imagining new gismu to be
> created — which may be ridiculously high — there would be no actual
> problem in this regard for millennia. However, even though I can write
> a program to implementing the brute force algorithm that I have been
> able to come up with to answer my second question — What is the
> _smallest_ number of gismu that could fill gismu space, starting
> from an empty gismu space? — the program would based on my initial
> guess be O(n!); I don't expect that the program would finish in my
> lifetime. The first question — What is the _smallest_ number
> of new gismu that could fill up gismu space? — might not be
> answerable except by the brute-force approach; but there has got to
> be a better way to answer the second — What is the _smallest_
> number of gismu that could fill gismu space, starting from an empty
> gismu space? — I've just not thought of it. Consider that question
> as a mathematical puzzle question with the rules for Lojban being the
> set-up for the question; one doesn't have to consider what inspired
> me to ask the question; I mentioned because I thought the notion of
> what inspired me to ask that question would be interesting, _not_
> because I thought that it had any real _practical_ applications --
> Mathematicians look for higher and higher pairs of amicable numbers
> (http://http://en.wikipedia.org/wiki/Amicable_numbers) but as far as
> I know it is not for practical applications of them.
>
>
>
> This is an interesting problem. Doing it by hand might take a few days or
> a week or two. How do you get O(n!) for it?
>
> stevo

posts: 84

MorphemeAddict@wmconnect.com wrote:

> In a message dated 8/24/2009 19:02:46 Eastern Daylight Time,
> fagricipni@gmail.com writes:
>
>
>> 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.
>
>
> This is precisely what lujvo and fu'ivla are for. New gismu would be
> useful for brand-new *fundamental* concepts. That's not likely to
> happen very often.
Well, IIRC, gismu were never claimed to be truly "fundamental concepts";
that's just asking for trouble (are sheep more fundamental than
gazelles? and don't even start on the cultural gismu). They're
primitive only in the internal-to-Lojban sense; we would be foolish to
claim that they are exhaustively "primitive" in any universal sense.

Conversely, I can't see why anyone would feel somehow compelled to add
gismu; if you allow end-stage fu'ivla (unmarked) what really is the
difference between a fu'ivla and a new gismu? The only functional
difference is rafsi, and the original question doesn't even deal with
rafsi. So far as I can tell, if new concepts are needed, however
fundamental, fu'ivla ought to be able to handle anything.

Now, if we start considering rafsi, all kinds of extraneous details
start mattering all of a sudden. For example, I noticed a while ago
that there is really no need for a gismu that has a CCV rafsi to have
any other. CCV rafsi are superior to the others: they can be initial,
medial, or final (CVC can't be final) and never need -r- or -n- hyphens
to form a consonant cluster if used at the beginning (as CVV or CV'V
might), and are always one syllable. When I realized this, I wondered
if we weren't "wasting" good rafsi on words that didn't need more than
one, while other gismu went without. I was reassured that these rafsi
weren't wasted; that the other rafsi for gismu which had CCV rafsi were
unavailable for use by any other word anyway. If we start coining new
gismu and giving them rafsi, does this have to be taken into account?
Surely it would be too late to reassign the "wasted" rafsi, but would
that not have a negative impact on the value of the new gismu?

Anyway, don't mess with adding gismu. Nothing a really really official
fu'ivla can't handle.

~mark


On Mon, Aug 24, 2009 at 9:45 PM, <MorphemeAddict@wmconnect.com> wrote:
> My name "stevo" deliberately has the form of a gismu, but when I use it in
> Lojban, I always use "stevon".  I never try to use "stevo" as a gismu.  What
> would be its meaning?  "x1 is the person called "stevo" "?
>
> mu'o mi'e stevon

As I remember the argument was that the person named "bunre" did not
actually have to be brown, perhaps they are named "Emmett Brown".
Since cmeme do not actually imply meaning, though they can suggest
meaning. (Even in English, most of the people who have a last of
"Smith" could trace it back to an actual ancestor who was an actual
smith.) Since, cmeme are not related to meaning, the expression
"la marca" can be unambiguously de-composed in to "la" followed by
a brivla, even if that brivla is meaningless, so as long as the
"la" is followed by a morphologically correct tanru, brivla, or
cmevla, the use of meaningless brivla (inculding meaningless gismu)
is not ambiguous, as long if it is morphologically correct; that what
I mean about "taking liberties with the morphology"; it's technically
legal, but pushing the boundaries of what was meant to be done.


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On Mon, Aug 24, 2009 at 9:56 PM, Luke Bergen<lukeabergen@gmail.com> wrote:
> I've read your previous emails and am also not sure where O(n!) came from.
> Could you put the requirements (input, expected output, rules, etc...) into
> a short, concise list?

You'll be happy to know that I found a lower bound, search for the
text string "LOWER BOUND" to quickly reach it, but a brief
summary is that there is no way to use less than 7429 additional
gismu to completely block up the gismu list:

"So even given the rate at which I imagine that new gismu
might be created; it would be extremely unusual for there
to be more than 10 per century, usually less — 10 per
century would be 100 per millennium, leading to at least
7429/100 = 74+ millennia before there is even a possibility
of running out of gismu."

You think that this is too small; it is; as I discuss under
the title mentioned above, there is no chance that the
"limit" of 7429 is the actual limit; I have merely proved it
to be a lower bound; the actual value can not be less than
7429; there is no doubt in my mind that it is larger; I just
can't determine how much larger.

There are two questions I am considering:
1) What is the _smallest_ number of new gismu that could fill up
gismu space?
2) What is the _smallest_ number of gismu that could fill gismu
space, starting from an empty gismu space?

The rules are that a gismu blocks the use of some possible gismu that
differ by one letter. The blocked possible gismu (eg, "gismu") are:
1) gismu that differ only in the last letter (eg, "gisma", "gisme",
"gismi", "gismo"
2) The gismu that differ by one letter for the sets below:
b p, v
c j, s
d t
f p, v
g k, x
j c, z
k g, x
l r
m n
n m
p b, f
r l
s c, z
t d
v b, f
x g, k
z j, s
(eg, "kismu", "xismu", "gicmu", "gizmu", "gisnu")

There are two gismu forms CVCCV and CCVCV. Since the 2nd and 3rd
characters are VC in the CVCCV and CV in to CCVCV, they can not
differ in just one letter. So a CVCCV can not block a CCVCC, nor can
a CCVCV block a CVCCV, so at least these two sets can be considered
separately.

Consider the CVCCV. The CC is a permissible consonant pair; there
are 7 unvoiced consonants, 6 voiced consonants, and 4 syllabic
consonants. A permissible consonant pair can be made with:
1) Two unvoiced consonants; given the restriction on double
consonants: this means 7*6 pairs or 42 of this type.
2) Two voiced consonants; given the restriction on double
consonants: this means 6*5 pairs or 30 of this type.
3) A unvoiced consonant followed by a syllabic consonant:
7*4 = 28
4) A syllabic consonant followed by a unvoiced consonant:
4*7 = 28
5) A voiced consonant followed by a syllabic consonant:
6*4 = 24
6) A syllabic consonant followed by a voiced consonant:
4*6 = 24
7) Two syllabic consonants; given the restriction on double
consonants: 4*3=12
The sum of these numbers is 188.
However, the otherwise legal pairs; "cs" ,"sc" ,"jz" ,"zj",
"cx", "xc", "kx", "xk", and "mz" are forbidden. Subtracting out
these 9 leaves 179 possible values for the CC in CVCCV.
For each V there are 5 possibilites, for the solitary C there are 17.
The total possible CVCCV gismu is 17*5*179*5 = 76075. In order to
make sure that I get the worst possible case; ie, the one that uses
the fewest gismu, I have to test all possibilities.

Let's use the second question, I make a list of all the possibles:
"babda" to "zuzvu". Then start by placing "babda" in place and
marking off all gismu that prevents: "babde", "babdi", "babdo",
"babdu", "pabdu", "tabdu". The gismu "bapda" and "babta" are already
probitted because "pd" and "bt" are not permissible consonant pairs
in the first place. So then, I place the next possible word on the
list; it turns out to be "babga", mark the now unusable gismu, and so
on. Finally I get to count the gismu when space runs out. Then I
have remove the last added gismu remove the mark from the ones that
excluded and try the next possible one of the now available gismu, and
see if that fills gismu space, then when I finish counting all possibles
that are made by taking one off the list. Then I need to take not
only the last one added, but the next to the last one added. Then I
place a new one in the next available space left in alphabetical
order. Then try other possible next gismu for that. Because
remember, it is not likely that I will get the _smallest_ number to
fully pack the CVCCV gismu space on the first try; so eventually I
have to test all possibles and see what the smallest count is. It
has been a long time since I first considered this problem; I have
forgotten why I concluded that the algorithm was O(n!), rather than
O(e^n), which is worse.

The procedure for packing CCVCV gismu space is the same, except there
are only 48 permissible initial pairs: 48*5*17*5 or only 20400 slots
there.

It seems to me though that at least in the case that one starts
with empty gismu space, one should be able to use the fact that
there are 6 collision cycles: b-p-f-v-back to b, c-j-z-s-, g-k-x-,
d-t-, l-r-, m-n-. Notice all the cycles but the first end with "-"
because each cycle catches its own tail; the first catches its own
tail, too, I just explicitly noted that in the cycle back at the end.
The first problem is that while "nz" in a place should block "mz",
"mz" is already forbidden as a permissible pair. One could try to
use the fact that in a dual voiced pair; eg, "bg", "b" can not block "p"
because the other consonant, "g", is voiced and "p" is unvoiced; but
in "tablu", "b" does block "p", because "pl" is a permissible pair; so
"taplu" would otherwise be permitted. The problem is made worse by
the fact that some pairs that would be permitted under the
unvoiced/voiced/syllabic rule are forbidden; I mentioned "mz"; there
are 8 more. This problem is even worse for the CCVCV gismu space,
since there are 128 otherwise legal spaces that are forbidden; and
the rest don't follow any truly regular pattern.

There may be a way to figure out a "most efficient"; ie, using the
fewest gismu; to block up gismu space without searching through all
possibles; I'd think something could be done with ranking the
consonant pairs by how efficiently they block other consonant pairs;
ie, how many consonant pairs does "bl" block? When used as a
permissible pair in the CVCCV space problem, and then when used as a
permissible initial pair in the CCVCV space problem? And I haven't
even considered the first question, in which the current gismu are
already "fixed" in place, in the analysis.

LOWER BOUND

I can readily believe that the first question — What is the
_smallest_ number of new gismu that could fill up gismu space?
(Assumes that the current gismu are "fixed") — is too computationally
intensive to be solved with current computers. The second question --
What is the _smallest_ number of gismu that could fill gismu space,
starting from an empty gismu space? — is not likely to be so; I
strongly suspect that I am missing some trick that could vastly
reduce the number of operations required. Remember, of course, these
are really only interesting question as mathematical puzzles; even
if someone does come up with the answer, or even comes up with an
idea that helps me reach an answer; the answer won't be used for any
practical purpose.

The one "minimum" calculation that I have been able to come up with
is that each of the 3 consonant can block _at most_ 2 gismu each, the
final vowel rule means that each gismu blocks another 4 gismu, so no
gismu can block more than 10 other gismu; using this worst-worst case
analysis each gismu can hold at most 11 slots in gismu space; 1 for
the gismu itself, 10 for the other blocked slots. Given 76075 CVCCV
slots, this means that there is no way to cover that space with less
than 6916 gismu; 6915 could block up only 6915*11 = 76065; there are now
10 slots left, so, in theory, the 6915th gismu could cover them all.
In CCVCV space, there are 20400 slots; this leads to an absolute
minimum 1855 gismu to lock out all possible slots; 1854 could block
up 1854*11 = 20394 slots, leaving the 1855th one to block up the
remaining 6 open slots. That makes a total of 1855+6916 = 8771.
Having thought of this analysis, there is room for the number of
gismu to expand by another 5 times its current size; including the
brod-series, there are 1342 current gismu; even if there were room
for only 8771 or 8771-1342 = 7429. 7429/1342 = 5.5+. So even given
the rate at which I imagine that new gismu might be created; it would
be extremely unusual for there to be more than 10 per century, usually
less — 10 per century would be 100 per millennium, leading to at least
7429/100 = 74+ millennia before there is even a possibility of running
out of gismu. Of course, there is no way in censored that each gismu
is going to block up 10 slots of its very own in addition to itself,
so this is a very conservative minimum. I'm more than comfortable
with the room to grow.


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> Having thought of this analysis, there is room for the number of
> gismu to expand by another 5 times its current size; including the
> brod-series, there are 1342 current gismu; even if there were room
> for only 8771 or 8771-1342 = 7429.  7429/1342 = 5.5+.

Change "by another 5 times its current size" to
"_at least_ by another 5 times its current size".


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On Mon, Aug 24, 2009 at 10:28 PM, Mark E. Shoulson<mark@kli.org> wrote:
> MorphemeAddict@wmconnect.com wrote:
> Anyway, don't mess with adding gismu.  Nothing a really really official
> fu'ivla can't handle.
>
> ~mark

I assure you that I have no intention of actually doing so; the idea of
doing so was a theoretical question; it is just that the actual
mathematical question I asked has a solution, and I wanted to know
if anyone knew what it was.


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pe'i Given the time frame your thinking of it's more a mute issue. New
sounds will be added to the language maybe within 500 years, if it were to
'live' so to speak.

On Tue, Aug 25, 2009 at 4:59 PM, H. Felton <fagricipni@gmail.com> wrote:

> On Mon, Aug 24, 2009 at 10:28 PM, Mark E. Shoulson<mark@kli.org> wrote:
> > MorphemeAddict@wmconnect.com wrote:
> > Anyway, don't mess with adding gismu. Nothing a really really official
> > fu'ivla can't handle.
> >
> > ~mark
>
> I assure you that I have no intention of actually doing so; the idea of
> doing so was a theoretical question; it is just that the actual
> mathematical question I asked has a solution, and I wanted to know
> if anyone knew what it was.
>
>
> To unsubscribe from this list, send mail to lojban-list-request@lojban.org
> with the subject unsubscribe, or go to http://www.lojban.org/lsg2/, or if
> you're really stuck, send mail to secretary@lojban.org for help.
>
>

On Tue, Aug 25, 2009 at 6:21 AM, Arran<arran4@gmail.com> wrote:
> pe'i Given the time frame your thinking of it's more a mute issue. New
> sounds will be added to the language maybe within 500 years, if it were to
> 'live' so to speak.

As soon as I had the actual number of 7429, even though it's only a
lower bound, I knew that my fancied future was possible. (Actually,
I realized that before I finished calculating it.) I hadn't thought
of the possibilty of adding new vowels or consonants to the language,
but as you say, in even as short a time as 500 years that's not
unreasonable; and that would expand rafsi space as well as gismu
space.

I'm the kind of person who feels more comfortable when I can put
numbers to things, rather than relying on a gut notion; eg, "of
course, there's plenty of space for new gismu to grow in to" vs
"there's absolutely at least enough gismu space to accomodate another
500% of growth of the gismu set".


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On Tue, Aug 25, 2009 at 3:52 AM, H. Felton<fagricipni@gmail.com> wrote:
>
> The one "minimum" calculation that I have been able to come up with
> is that each of the 3 consonant can block _at most_ 2 gismu each, the
> final vowel rule means that each gismu blocks another 4 gismu, so no
> gismu can block more than 10 other gismu; using this worst-worst case
> analysis each gismu can hold at most 11 slots in gismu space; 1 for
> the gismu itself, 10 for the other blocked slots.

You can improve this bound a little by noting that a CC pair can block
at most 3 other CC pairs (never 4), so no gismu form can block more
than 9 other gismu forms.

mu'o mi'e xorxes


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posts: 381

In a message dated 8/24/2009 23:21:11 Eastern Daylight Time,
fagricipni@gmail.com writes:


> Since, cmeme are not related to meaning, the expression
> "la marca" can be unambiguously de-composed in to "la" followed by
> a brivla, even if that brivla is meaningless, so as long as the
> "la" is followed by a morphologically correct tanru, brivla, or
> cmevla, the use of meaningless brivla (inculding meaningless gismu)
> is not ambiguous, as long if it is morphologically correct; that what
> I mean about "taking liberties with the morphology"; it's technically
> legal, but pushing the boundaries of what was meant to be done.
>

Since I don't want to push that particular boundary at the moment, I change
"stevo" to the cmevla "stevon" in Lojban.

stevo

posts: 381

In a message dated 8/25/2009 02:53:53 Eastern Daylight Time,
fagricipni@gmail.com writes:


> "So even given the rate at which I imagine that new gismu
> might be created; it would be extremely unusual for there
> to be more than 10 per century, usually less — 10 per
> century would be 100 per millennium, leading to at least
> 7429/100 = 74+ millennia before there is even a possibility
> of running out of gismu."
>

You're assuming that change in the world is linear. It's not. It
increases more than exponentially. So 10 new gismu per century is a very (hugely)
conservative estimate. After the singularity occurs (in about 2045), we
might use up all those new gismu in no time at all, since we can't predict what
the world will be like after that point.

stevo

posts: 381

In a message dated 8/25/2009 03:00:42 Eastern Daylight Time,
fagricipni@gmail.com writes:


> I assure you that I have no intention of actually doing so; the idea of
> doing so was a theoretical question; it is just that the actual
> mathematical question I asked has a solution, and I wanted to know
> if anyone knew what it was.
>

Apparently no one has thought of the question before. Bravo to you!

stevo

On 8/25/09, MorphemeAddict@wmconnect.com <MorphemeAddict@wmconnect.com> wrote:
> In a message dated 8/25/2009 02:53:53 Eastern Daylight Time,
> fagricipni@gmail.com writes:
>
>
>> "So even given the rate at which I imagine that new gismu
>> might be created; it would be extremely unusual for there
>> to be more than 10 per century, usually less — 10 per
>> century would be 100 per millennium, leading to at least
>> 7429/100 = 74+ millennia before there is even a possibility
>> of running out of gismu."
>>
>
> You're assuming that change in the world is linear. It's not. It
> increases more than exponentially. So 10 new gismu per century is a very
> (hugely)
> conservative estimate. After the singularity occurs (in about 2045), we
> might use up all those new gismu in no time at all, since we can't predict
> what
> the world will be like after that point.
>
> stevo

If we hit that point we could well speculate about communicating by
exchanging "core dumps" of the relevant brain states; I could not only
communicate to you that I saw something blue, but also _exactly_ what
shade of blue it was, by copying that part of my memory and and
including it in the "core dump"; I could also communicate to you
everything I know about a subject encoding as a "core dump" the brain
states of the region(s) where that information is stored. (I don't
say neuron states because I don't assume that we will be using a
structure that involves neurons at that point.) IF the singularity
occurs, there is, as you say, no way to predict anything beyond that
point. If the world is to become less comprehensible to us than our
culture and lives would be to a Neanderthal, we can't reasonably
predict how that will affect things; so there is no way to plan for
it.

I put those speculations in the same catagory as
http://www.xibalba.demon.co.uk/jbr/futurese.html
puts:
If twenty-third century computer geeks have cybernetic implants to let
them offload cognitive processes to specialised hardware, new slang
possibilities arise such as inhumanly complex versions of "rot-13ed
Pig Latin".
or
In a "world state" with an anglophone bureaucracy of artificial
intelligences, ANSI-standard English could function as a sort of
unnaturally preserved lingua franca even if the human native speakers
died out.
in his speculations about the future of English in the next
millennium, and for pretty much the same reason: "because they don't
make the language's future form any more predictable".

But yes a singularity-type of event could make Lojban as obsolete as
pre-hominid's pointing and "grunting"; but I just don't think that I
could in any real sense reasonably speculate about how a culture less
comprehensible to us than our culture and lives would be to a
Neanderthal, would affect Lojban _in particular_. I will grant that
the "prediction" of "74+ millennia" is not worth a lot because of the
likelyhood of these types of changes in 74 millennia; my speculations
about the future of Lojban might be accurate out to a few millennia
from now, but I'll not even take that for granted — imagine the
predictions that I would have made about what computers would be like
in 2000, if I lived in 1950.


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posts: 12 United States

Coi
<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />
Sorry for not responding sooner, I learned a trick awhile ago that relates to figuring out how many possible gismu their can be (or at least getting a very close estimate).

Gismu can be C V C C V or C C V C V

In lojban there are 18 consonants and 6 vowels.

For now lets assume that C V C C V is the only way to have a gismu, and that within a gismu a letter cannot be repeated.

For my first letter I can have any consonant. So I have 18 letters to choose from
For my second letter I can have any vowel. So I have 6 letters to choose from
For my third letter I can have any of the remaining consonants. So I have 17 letters to choose from
For my fourth letter I can have any of the remaining consonants. So I have 16 letters to choose from.
For my fifth letter I can have any of the remaining vowels to choose from. So I have 5 vowels to choose from.

So C V C C V
Becomes 18 * 6 * 17 * 16 * 5

Which equals 146,880
Now we subtract the 1300 current gismu

This equals 145,580 possible gismu

Now there are 146,880 more combinations using C C V C V
But they would be so close to the 145,580 others that I won’t count them
(even though some of them have to possibility to work)


Some of the 145,580 possible gismu I have counted will be somewhat hard to say. But because of the equation I used their will be no letters that repeat themselves, so the gismu that can’t be spoken won’t make up too large of a portion of the 145,580. Plus if I couldn't say the word sdaro (CCVCV) I could be able to say sadro (CVCCV) this uses the same letters, but swaps the "d" and "a", which isn't another combination I have already counted because its part of the CVCCV which I discarded.

Since some gismu have a repeated letter (like cmene) there are more possible gismu that have repeated letters (For Example: my equation could turn into 18*6*18*17*5). The added gismu I would have haven't been included in my 145,580.

So the gismu I have counted but don’t work will probably be made up for by the gismu I haven’t counted but do work with extra gismu to spare


Because of this I’m not very concerned about us running out of gismu, even if we make-up 5 new gismu per year, because we wouldn’t run out for 29,116 years.

Also if we run out of gismu that fit within the limits we have created we could just expand the limits of what letter combinations we consider gismu (so we could continue to make new gismu). It would be hard, we would have to make some serious changes in the language but it is possible.
(For example 8 letter words could become gismu)



I know I haven’t proved how my equation works; it is very hard to explain unless you’re here with me. But if anyone is interested they can e-mail me at moorkids@juno.com and I will try to explain, and show them a few examples as to why this does work.

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posts: 381

In a message dated 8/25/2009 18:22:07 Eastern Daylight Time,
moorkids@juno.com writes:


> In lojban there are 18 consonants and 6 vowels.
>

I know of only 17 consonants: b c d f g j k l m n p r s t v x z.
y'y bu doesn't count, especially for gismu.

What's the other consonant?

stevo

posts: 381

In a message dated 8/25/2009 18:22:07 Eastern Daylight Time,
moorkids@juno.com writes:


> For my second letter I can have any vowel. So I have 6 letters to choose
> from
>

gismu don't have y bu. Are you making a new rule?

stevo

posts: 12 United States

I'm sorry, I counted something I should've ignored. That makes it 17 * 6 * 16 * 15 * 5
Which is 122,400 minus 1300 (current gismu)
Which is 121,100 possible gismu.
Everything else in the other e-mail should be true. Except now if we added 5 gismu every year we'd only have 24,220 years.

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posts: 12 United States

UGH!
I'm really sorry, I haven't even been thinking, I just totaled up my consents and vowels, I wasn't even thinking about it when I added y!!!!
Which should be now (if I haven't overlooked anything) 17 * 5 * 16 * 15 * 4 which is 81,600
.u'u

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posts: 3588

de'i li 25 pi'e 08 pi'e 2009 la'o fy. moorkids@juno.com .fy. cusku zoi
skamyxatra.
> Sorry for not responding sooner, I learned a trick awhile ago that relates to
> figuring out how many possible gismu their can be (or at least getting a very
> close estimate).
> snipped
.skamyxatra

Your "trick" appears to consist of blatantly ignoring the rules of Lojban
morphology, imposing an arbitrary new rule about "no repeating letters,"
considering only half of your new pseudo-{gismu} space, and claiming that it
all evens outs magically.

If you want the real number of possible {gismu}, ignoring conflicts, consider
that there are 17 consonants, five vowels, 48 initial consonant pairs, and 131
valid consonant pairs. A {gismu} is either "initial pair, vowel, consonant,
vowel" or "consonant, vowel, consonant pair, vowel"; this comes out to 48 * 5 *
17 * 5 + 17 * 5 * 131 * 5 = 76075 possible {gismu} (again, ingoring conflicts).

mu'omi'e .kamymecraijun.

--
jicmu traji zifre fa loi remna lonu senpi


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posts: 493

where conflicts are when two gismu must not be exactly the same except for
the trailing vowel?

Could that be taken care of by just taking off the last "* 5"?

On Tue, Aug 25, 2009 at 6:48 PM, Minimiscience <minimiscience@gmail.com>wrote:

> de'i li 25 pi'e 08 pi'e 2009 la'o fy. moorkids@juno.com .fy. cusku zoi
> skamyxatra.
> > Sorry for not responding sooner, I learned a trick awhile ago that
> relates to
> > figuring out how many possible gismu their can be (or at least getting a
> very
> > close estimate).
> > snipped
> .skamyxatra
>
> Your "trick" appears to consist of blatantly ignoring the rules of Lojban
> morphology, imposing an arbitrary new rule about "no repeating letters,"
> considering only half of your new pseudo-{gismu} space, and claiming that
> it
> all evens outs magically.
>
> If you want the real number of possible {gismu}, ignoring conflicts,
> consider
> that there are 17 consonants, five vowels, 48 initial consonant pairs, and
> 131
> valid consonant pairs. A {gismu} is either "initial pair, vowel,
> consonant,
> vowel" or "consonant, vowel, consonant pair, vowel"; this comes out to 48 *
> 5 *
> 17 * 5 + 17 * 5 * 131 * 5 = 76075 possible {gismu} (again, ingoring
> conflicts).
>
> mu'omi'e .kamymecraijun.
>
> --
> jicmu traji zifre fa loi remna lonu senpi
>
>
> To unsubscribe from this list, send mail to lojban-list-request@lojban.org
> with the subject unsubscribe, or go to http://www.lojban.org/lsg2/, or if
> you're really stuck, send mail to secretary@lojban.org for help.
>
>

posts: 3588

de'i li 25 pi'e 08 pi'e 2009 la'o fy. Luke Bergen .fy. cusku zoi skamyxatra.
> where conflicts are when two gismu must not be exactly the same except for
> the trailing vowel?
>
> Could that be taken care of by just taking off the last "* 5"?
.skamyxatra

Two {gismu} may not differ by a single consonant when the different consonants
are related according to the table in item 4 of section 4.14 of the CLL; up
until about an hour ago, this entire thread was about how to take that
restriction into account when calculating the number of possible {gismu}.
Dividing 76075 by 5 to get 15215 would take care of the final-vowel conflicts
but not the similar-consonants conflicts.

mu'omi'e .kamymecraijun.

--
na'e du'u mi lazni .i du'u mi na'e selra'u sa'u


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On Wed, Aug 26, 2009 at 4:35 AM, H. Felton <fagricipni@gmail.com> wrote:

> If we hit that point we could well speculate about communicating by
> exchanging "core dumps" of the relevant brain states; I could not only
> communicate to you that I saw something blue, but also _exactly_ what
> shade of blue it was, by copying that part of my memory and and
> including it in the "core dump"; I could also communicate to you
> everything I know about a subject encoding as a "core dump" the brain
> states of the region(s) where that information is stored. (I don't
> say neuron states because I don't assume that we will be using a
> structure that involves neurons at that point.) IF the singularity
> occurs, there is, as you say, no way to predict anything beyond that
> point. If the world is to become less comprehensible to us than our
> culture and lives would be to a Neanderthal, we can't reasonably
> predict how that will affect things; so there is no way to plan for
> it.
>

Speaking of 'blue' we actually do seem to refer to a specific shade of blue,
maybe like some words (ie the gender) we need a word for a specific shade of
blue and something that is close to the specific shade of blue.. A lujvo
would do, until you want to put it inside another lujvo. :P

posts: 47

People always say that gismu are not special and there is nothing
"fundamental" about them (except for the tiny, tiny detail of having
rafsi and thus being able to form additional words).

But then they always go on to say that never, never, never, never ever
even think of creating additional gismu.

So here's a question to you all: given that we should NEVER even
consider creating new gismu, well, then why don't we allow fu'ivla to
have CVCCV or CCVCV form?

--
Daniel Brockman
daniel@brockman.se


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posts: 3588

de'i li 20 pi'e 09 pi'e 2009 la'o fy. Daniel Brockman .fy. cusku zoi skamyxatra.
> So here's a question to you all: given that we should NEVER even
> consider creating new gismu, well, then why don't we allow fu'ivla to
> have CVCCV or CCVCV form?
.skamyxatra

Because those {fu'ivla} would be new {gismu}. The CVCCV/CCVCV form is the
defining feature of {gismu} that sets them apart morphologically from other
{brivla}.

mu'omi'e .kamymecraijun.

--
lo panojauvaipa moi krinu be lonu cilre fi la lojban. zo'u
noda ca'o se bangu la gliban.


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>> So here's a question to you all: given that we should NEVER even
>> consider creating new gismu, well, then why don't we allow fu'ivla to
>> have CVCCV or CCVCV form?
> .skamyxatra
>
> Because those {fu'ivla} would be new {gismu}.  The CVCCV/CCVCV form is the
> defining feature of {gismu} that sets them apart morphologically from other
> {brivla}.

So if gismu is just a morphological property, then why not create new ones?

What's the reason?


--
Daniel Brockman
daniel@brockman.se


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posts: 381

In a message dated 9/19/2009 21:11:09 Eastern Daylight Time,
daniel@brockman.se writes:


> People always say that gismu are not special and there is nothing
> "fundamental" about them (except for the tiny, tiny detail of having
> rafsi and thus being able to form additional words).
>

When people say that gismu are not special, they mean semantically.
Morphologically, of course, they are special indeed, having rafsi and a special
shape (CVCCV or CVCCV).
It's often claimed that gismu are not intended to cover all semantic space,
but it would be nice if they did indeed form some kind of fundamental
semantic basis.

mu'o mie stevon

I'm just wondering about the rationale for not creating new gismu.

--
Daniel Brockman
daniel@brockman.se


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posts: 953

On Tue, Sep 22, 2009 at 11:32:48AM +0200, Daniel Brockman wrote:
> I'm just wondering about the rationale for not creating new gismu.

Bob's position on this can be found here:

http://www.lojban.org/lists/lojban-list/msg05357.html

--
Arnt Richard Johansen http://arj.nvg.org/
Dwi'n gallu llefaru pob llinell heb atal, oherwydd does dim tafod gyda fi.


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posts: 350

I noticed that no one else mentioned another distinguishing feature of
gismu — the way they are derived (from a weighted survey of the 6 source
natlangs).

--gejyspa

posts: 381

In a message dated 9/24/2009 10:32:10 Eastern Daylight Time,
mturniansky@gmail.com writes:


> I noticed that no one else mentioned another distinguishing feature of
> gismu — the way they are derived (from a weighted survey of the 6 source
> natlangs).
>
> --gejyspa
>


That's how most were derived. The remaining gismu fall into several
categories: uniquely Lojban concepts (e.g., "gismu"), metric prefixes ("decti",
"kilto"), basic metric and math units ("xampo", "tanjo"), the six Lojban
source languages ("jungo", "glico"), some other languages and geographical or
cultural gismu ("bengo", "merko"), and the religion gismu. (CLL, 4.15)

mu'o mi'e stevon

IMHO valsi referring to other cultures, geography, ect should be fu'ivla
with rafsi. (If there can be such a thing.) What disappoints me is the lack
of taxonomy for plants and animals is the gismu..

(Warning, offtopic, idiosyntratic, potentially not ver well thought out
part) I have seriously wondered if there should be junk gismu/rafsi which
only have meaning in combination with other words, ie for xruba, (not a good
example, but I have some of this growing in my garden) you (can) have xunre
stani xruba, but wouldn't it be interesting to have hrexub where hre is a
some fictional rasfi which is almost predicate in meaning.

On Fri, Sep 25, 2009 at 2:51 AM, <MorphemeAddict@wmconnect.com> wrote:

> In a message dated 9/24/2009 10:32:10 Eastern Daylight Time,
> mturniansky@gmail.com writes:
>
>
> I noticed that no one else mentioned another distinguishing feature of
> gismu — the way they are derived (from a weighted survey of the 6 source
> natlangs).
>
> --gejyspa
>
>
>
>
> That's how *most *were derived. The remaining gismu fall into several
> categories: uniquely Lojban concepts (e.g., "gismu"), metric prefixes
> ("decti", "kilto"), basic metric and math units ("xampo", "tanjo"), the six
> Lojban source languages ("jungo", "glico"), some other languages and
> geographical or cultural gismu ("bengo", "merko"), and the religion gismu.
> (CLL, 4.15)
>
> mu'o mi'e stevon
>

posts: 3588

de'i li 25 pi'e 09 pi'e 2009 la'o fy. Arran .fy. cusku zoi skamyxatra.
> (Warning, offtopic, idiosyntratic, potentially not ver well thought out
> part) I have seriously wondered if there should be junk gismu/rafsi which
> only have meaning in combination with other words, ie for xruba, (not a good
> example, but I have some of this growing in my garden) you (can) have xunre
> stani xruba, but wouldn't it be interesting to have hrexub where hre is a
> some fictional rasfi which is almost predicate in meaning.
.skamyxatra

If you mean {gismu} & {rafsi} which could theoretically be used alone but are
virtually only ever used in {tanru} or {lujvo}, there are already some like
that; there are the numeric/metric prefixes like "{megdo}" & "{zetro}," color
{gismu} as used by speakers beyond beginner level, "{simxu}," and probably a
bunch of others that I can't think of right now. If, however, you mean
{gismu}/{rafsi} whose meanings are "context sensitive" and determined entirely
by (and change in accordance with) the enclosing {tanru}/{lujvo} and cannot be
used alone, that's just crazy talk.

mu'omi'e .kamymecraijun.

--
lonu ca rere'u finti le xislu cu ba sidju do lonu baza finti le vi'e xislu


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posts: 324

On Thursday 24 September 2009 20:28:14 Arran wrote:
> IMHO valsi referring to other cultures, geography, ect should be fu'ivla
> with rafsi. (If there can be such a thing.) What disappoints me is the lack
> of taxonomy for plants and animals is the gismu..

There is such a thing. The Book has an experimental proposal of a finite set
of rafsi fu'ivla. Both xorxes and I have worked out how to make an infinite
class of rafsi fu'ivla, using "y" instead of the last vowel (my proposal) or
adding "'y" after the last vowel (xorxes' proposal) to join them. As far as
the proposal in the Book goes, if a word like "mraigo" (Welsh) is preceded by
a rafsi, the Book allows words like "sicybermraigo", but to allow an infinite
number of rafsi fu'ivla, such words have to have "y" inserted regardless of
phonotactics: "sicyberymraigo".

As to taxonomy: there are two gismu for birds in Anseriformes and two for
birds in Galliformes, but the rest of the birds, including the by far largest
order Passeriformes, are deserted. There are two gismu for rodents, but mice
and rats are fairly close within the rodents, so it's not clear which gismu
to use for other kinds of rodents. And there are no gismu at all for kinds of
fish, just the general "finpe".

In plants, "xruba" and "guzme" denote families, "rozgu" denotes a genus,
and "latna" doesn't denote a taxon. I'm not sure if "cunmi" is taxonomically
sound.

Pierre


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posts: 162

Pierre Abbat wrote:
> As to taxonomy: there are two gismu for birds in Anseriformes and two for
> birds in Galliformes, but the rest of the birds, including the by far largest
> order Passeriformes, are deserted. There are two gismu for rodents, but mice
> and rats are fairly close within the rodents, so it's not clear which gismu
> to use for other kinds of rodents. And there are no gismu at all for kinds of
> fish, just the general "finpe".
>
> In plants, "xruba" and "guzme" denote families, "rozgu" denotes a genus,
> and "latna" doesn't denote a taxon. I'm not sure if "cunmi" is taxonomically
> sound.

There was no attempt to make gismu taxonomical, nor taxonomically sound.
None of the gismu for plants or animals necessarily correlates to any
standard taxon ("usage will decide"), and thus finpe might include
whales and dolphins (in appropriate lujvo of course). The goal was to
incorporate concepts of cultural significance and/or words that might be
used in lujvo.

lojbab


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