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big rethink on Unique and other gadri



First, some terminology. We have been presenting gadri in
tables where the columns represent the difference between
o-/e-/a-gadri and the rows represent the differences
captured by V/Vi/V'i or LAhE. Lacking any better terminology,
I will talk about 'gadrows' and 'gadcolumns' to mean
'the semantic differences expressed by gadri rows/columns'.

What has dawned on me is that Unique was trying to too much,
and reanalysis calls for splitting its functions among new
gadrows and new gadcolumns.

GADROWS
Ignoring collectives and Prototype, for the purposes of this 
message, we can distinguish the following gadrows:

1a.
a countable (broda-shaped) amount of broda
a countable (broda-shaped) fraction of the jbomass of all broda

1b.
an uncountable amount of broda
an uncountable fraction of the jbomass of all broda

1c.
the countable (broda-shaped) jbomass of all broda
a countable (broda-shaped) 100%-fraction of the jbomass of all broda

1d.
the uncountable jbomass of all broda
an uncountable 100%-fraction of the jbomass of all broda

1a is the meaning expressed by lo/le/la in Standard Lojban.
1b is the meaning expressed by pisu'oloi in SL.
1c is one of the meanings Unique was meant to capture.
1d is the meaning expressed by (tu'o)lo(tu'o) in Excellent
   Solution. According to some it is expressed by SL loi/lei/lai.

GADCOLUMNS
Using 'referent' loosely,

{lO broda} is nonspecific and claims the referent is in lo'i 
broda.
{lE broda} is specific and presupposes that the referent is in
lo'i broda. 
{lE du ku noi broda} is specific and claims the referent is in
lo'i broda.

({lA broda} works like {lO broda}, but the distinction it
encodes is orthogonal to the other gadcolumns; in principle,
every gadcolumn could have a cmene-counterpart. Non-cmene
gadri can be paraphrased with "cmima be lo'i broda" and
cmene-gadri can be paraphrased with "cmima be la'i broda".)

There is a gap here for a gadcolumn for "is nonspecific and
presupposes that the referent is in lo'i broda". I think
we can see this gap as filled by an Intensional series.
At the moment I cannot define or satisfactorily elucidate
or grock the underlying logic of 'Intensional', but it
is nonspecific and is imaginary. Xorxes and Adam have
advocated intensional gadri, so at least some of us grock
the basic idea to some degree.

Now hitherto there had been an identification between Unique
in the sense of 1c above and Intensional. But I think
Intensional is a gadcolumn in its own right. The reason
for this is that all the gadrow distinctions that apply
to the other gadcolumns also apply to Intensional.

In all these examples the thing looked for is intensional,
but the difference parallel the gadrows:

He's looking for a mermaid.
He's looking for every Danish mermaid.
He's looking for a few mermaids who love each other.
He's looking for a few mermaids who each have a tail.
For each of three mermaids who love each other he will write
a poem about her. = He will write a poem about three mermaids
who love each other, one poem per mermaid.
He's looking for the mermaid who is the loveliest.
He's looking for the first king of Ruritania.
He's looking for xodium. [xodium = an undiscovered chemical element]
He's looking for some xodium.

I'll wait for feedback on all this before thinking how to
implement it lexically in Lojban.

--And.