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Re: [jboske] lexicalizations for truth/degree operators (was: RE: more true



In a message dated 10/7/2002 7:09:18 PM Central Daylight Time, a.rosta@hidden.email writes:

<<
UNARY OPERATORS

- : false
0 : sorta
+ : true

- 0 +
=====
- 0 +   ja'a
+ 0 -   na
- + -   ja'a cu'i = na cu'i
+ + -   na'e ja'a ku
- + +   na'e na ku
+ - +   na('e?) ja'a cu'i = na('e?) na cu'i

>>
OK (see xorxes working over of the purported Aymara system some time back, summarized on the wiki at Aymara, I think.)

<<
DEGREES

ja'a cai  : very
ja'a sai  : fairly
ja'a ru'e : barely
na ru'e   : almost
na sai    : fairly un-
na cai    : not at all
>>
What are these?  Unary operators again? They might be, with some truth tables or othere, but plausible readings don't last very long here: {ja'a cai} might be - -+ and {na sai} might equate with {na'e na ku} -- or that might be {ja'a ru'e}.  But there are going to be cases which just don't fit.
So, these are either measures of something else -- the factors that make for truth -- or else they are modifiers -- different truth assignments on the basis of the same factors.  Which?  I go for measures of factors, but only because I like to see modifiers  represented in the predicate.

<<
TYPES OF NEGATION OF DEGREE

na('e?) <ja'a sai> : in degree that is other than <very>
??                 : in degree that is less than
??                 : in degree that is more than
>>
I am even less sure what these are supposed to be, but presumably they belong to the same class as the immediately preceding.

<<
DEGREES OF JA'A CU'I
?? : sorta-but-closer-to-being-POS-than-NEG
?? : sorta-but-much-closer-to-being-POS-than-NEG
?? : sorta-but-somewhat-closer-to-being-POS-than-NEG
?? : sorta-but-slightly-closer-to-being-POS-than-NEG
?? : sorta-but-closer-to-being-NEG-than-POS
?? : sorta-but-much-closer-to-being-NEG-than-POS
?? : sorta-but-somewhat-closer-to-being-NEG-than-POS
?? : sorta-but-slightly-closer-to-being-NEG-than-POS
>>
And on this I am at a loss.   I see the general idea here, I think, but don't see how to deal with it without going beyond the three values or making mixed messages: "ja'a cui [bridi] and the factors that make for truth sum up to being slightly/somewhat/ much/- closer to this side than that."  Do we also want to do degrees in  ja'a cai and na cai and ....  And the mind boggles at what the truth values of all these things are going to be when sorted out.
I think it is time to work through a whole case here, with all the ducks out in the open.
So, what happens with a man, Joe, and a 13' x 16' room with the only door in the middle of a 16' wall?  What are the readings in various areas for "Joe is in(side) the room." I'm assuming that the factors that make for truth here are distances from the center of the door sill on the inside (the origin), that the door frame is 4" deep, and that, for the moment,  angle from the origin is not significant.  (For xorxes, maybe, I should point out that, according to Parkinson -- and, in another way, Potter -- claim that there is a perfect spot to be in a room.) Let's stick to the three-value system as long as possible though.