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[lojban] Re: xorlo





On Mon, Sep 7, 2009 at 12:01 AM, Squark Rabinovich <top.squark@gmail.com> wrote:
Btw, what happened to lo'e and le'e ? They are not mentioned in the pages about xorlo. Were they scrapped?

Anyway, since nobody gave a complete answer about xorlo, I'll take a shot at guessing how it should work.
Hey, we did the best we could. What problems remain.  (Looking below, I see you haven't yet really taken account of what we said.)
Lets start with lo . The syntax is

[optional outer quantifier] lo [optional inner quantifier] broda

lo broda means "at least one mass of broda". For example, lo nanmu cu bevri le pipno means "at least one group of men carries the piano(s)". The size of the mass is unknown, in particular it can consist of a single object in which case it is in fact an individual. Also, for continuous things like mudri or rokci the size might be meaningless i.e. not representable as a natural number
I think the word "mass" is a bad choice here, as it brings to mind things like water, which can, indeed, be handled by this technique but are better treated in other ways.  And the "at least one" doesn't work either, lo
is just like le except for being veridical, so "the group of actual brodas I have in mind" is better (except that "group" has a mathematical sound inappropriate here (I use "bunch" and even that bugs xorxes, who wants no hint of an entity between the brodas and their _expression_, so just "(Some) brodas").
lo n broda where n is a quantifier means "at least one mass of broda out of a mass of n broda". Supposedly, the later mass of n broda is not just a random collection of broda but a group unified by something. For example, lo mu nanmu cu bevri le pipno means "at least one group of men out of a group of 5 men carries the piano(s)". The size of the mass is still unknown, but it can be at most n
No, the group (bunch) has 5 members (x: "Five men" that I have in mind and who will be considered together in what follows)

m lo broda where m is a quantifier means "m individual broda". For example, su'o ci lo nanmu cu bevri le pipno means "3 men carry the piano(s) (individually), and possibly some other individual men and/or groups of men do this as well". On the other hand ci lo nanmu cu bevri le pipno means "3 men carry the piano(s) (individually) and no other man or group of men does this".
Note, importantly, that the three (or at least three) men are from a bunch which will be treated together, not just any old men.  Also, fractional quantification makes some sense here, again as pulling out a number of brodas, the number being specified as a fraction of the whole.This section, combined with what follows reminds me that I have forgotten how to talk about several bunches.  I remember it as clever, but not the actual technique.

m lo n broda where n and m are quantifier means "m individual broda out of a mass of n broda". For example, ci le mu nanmu cu bevri le pipno means "3 men out of a group of 5 men carry the piano(s) (individually) and no other man or group of men within that group of 5 men does this".
I'm not sure about the "and no other group within that group" but basically, this looks right.  Note the joy of lo ci lo mu nanmu where we get back to "three men out of our bunch of five, acting together...."
loi : The syntax is [optional outer quantifier] pi [optional fractional outer quantifier] loi [optional inner quantifier] broda

loi broda is the same as lo broda . loi n broda is the same as lo n broda .
I think this is definitely wrong; masses are different from bunches (although, in Lojban at least, masses can be treated as special kinds of bunches).  I think we are now at the blender cases, at least for things like humans.  At the very least, the "members" of loi broda are not guaranteed recoverable in their original form:  a fifth of loi mu nanmu need not be a nanmu, only becomposed entirely of nanmu bits.
m loi broda where m is a quantifier means "masses of broda". For example, su'o ci loi nanmu cu bevri le pipno means "3 groups of men carry the piano(s), and possibly some other individual men and/or groups of men do this as well". On the other hand ci loi nanmu cu bevri le pipno means "3 groups of men carry the piano(s) and no other man or group of men does this". The size of the masses is unknown. In particular any/all of the masses can be of size 1 and thus in effect individuals. The size might be meaningless for continuous entities.
Another example is lu'i ci loi nanmu cu simxu lo nu damba which means "three groups of men fight against each other", where "each other" means between the groups, not within them.
I'm not sure I followed all this but I think it is more or less right; certainly, pulling individuals out of a mass cannot be the job of a whole-number quantifier.  And I think your examples make more sense with lo
m
 loi n broda where n and m are quantifier means "masses of broda out of a mass of broda". For example, ci loi mu no nanmu cu bevri le pipno means "3 groups of men which are subgroups of a group of 50 men carry the piano(s), and possibly some other individual men and/or groups of men do this as well". On the other hand ci loi nanmu cu bevri le pipno means "3 groups of men carry the piano(s) and no other man or group of men within that group of 50 men does this". The size of the masses is unknown. In particular any/all of the masses can be of size 1 and thus in effect individuals. The size might be meaningless for continuous entities.
No, I think -- based on the above -- that it means m masses of n brodas, drawn from all the brodas.
 Alternatively, it might be a mass of m brodas drawn from the mass of n.

Adding a fractional outer quantifier fixes the total size of the masses involved. For example ci pi vo loi mu no nanmu cu bevri le pipno means the same as above, with the added information that the 3 groups of men together consist 0.4 of the total group i.e. 50 x 0.4 = 20 men.
I don't know whether your are portioning out a mass by weight or volume or some other metrical way, but this just says you're talking about 0.4 of it.
lo'i
 : The syntax is [optional outer quantifier] pi [optional fractional outer quantifier] lo'i [optional inner quantifier] broda

lo'i broda means "at least one mass of sets of broda" 
I think that lo'i is as specific (or is it definite?) as lo itself, i.e., this means "the set of broda I have in mind."
lo'i n broda means "at least one mass of subsets of a set of n broda"
It just says =the set has n members.
m lo'i broda means "m sets of broda"
I just don't think so; at best it means an m-membered subset of the original set, and I am not sure it doesn't get us back to the members directly.
m lo'i n broda means "m subsets of a set of n broda"
Ditto
Adding a fractional outer quantifier fixes the size of union of the sets involved.
I don't see this one; I would suppose they gave the number of members (in the subset) as a fraction of the original set
le lei le'i work in the same way except that a priori, I don't consider all broda but a specific set of things-I-call-broda. The inner quantifier specifies the size of this set.
la lai la'i work in the same way except that they refer to things named broda . The inner quantifier is merely a part of the name.
I have tried to think of all this as systematic and it well may not be.
It is also an interesting question how sumti-based descriptions (which are mentioned in the xamoi ckupau of the "reference grammar") work in xorlo.
I don't see the problem here, as witness the example above.
2009/9/6 Jorge Llambías <jjllambias@gmail.com>

On Sat, Sep 5, 2009 at 6:25 PM, Squark Rabinovich<top.squark@gmail.com> wrote:
>
> In other words, since we're doing about 5 men and 3 women rather than 1 man
> and 1 woman, it seems that a quantifier is logically necessary, and such a
> term cannot be a "constant".

This might help understand how a term can have plural reference:
http://en.wikipedia.org/wiki/Plural_quantification

mu'o mi'e xorxes


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