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Date: Tue, 11 Sep 2001 13:53:44 +0100
To: pycyn <pycyn@aol.com>, lojban <lojban@yahoogroups.com>
Subject: Re: [lojban] the set of answers
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From: And Rosta <arosta@uclan.ac.uk>

pc:
#arosta@uclan.ac.uk writes:
#> These objections would carry a lot more weight if there was a rival=20
#> analysis to the Ka Extension analysis. Then you could compare the
#> rival analyses as to how well they stand up under those and other
#> objections.=20
#>=20
#> But as things stand, there is no rival analysis. The set of answers anal=
ysis
#> is intuitive and attractive, but it is informal, and nobody has shown ho=
w=20
#> it=20
#> helps to provide an explicit Q-kauless logical and/or lojban equivalent
#
#I wasn't aware that there was a need for a qkauless sentence in Lojban=20
#that was equivalent to one with qkau in it.=20=20

Evidently I was mistaken to think we were all engaged in the same
programme of enquiry, then. AFAI am concernced, the aim is to find a
logical representation for Q-kau sentences. If that turns out to be reasona=
bly
elegant, then we could then drop qkau. If it turns out to be a bit clunky
then we would know what qkau expands to logically.

#Can you do an interogative-free=20
#sentence in English that is equivalent to one with an interrogative in it?=
=20
#Provide general rules for creating same?

Do I need to point out that English does not claim to be a logical language=
?
English is not Loglan.

#I am sorry if the set-of-answers explanation is inadequately formal. I ca=
n=20
#formalize it if need be, but the results will be fairly hairy.=20=20

So long as you can formalize it so that it can be said in Lojban, I don't
think I'll find it too hairy.=20

To avoid you wasting time, I'd better make clear that Jorge defined the
set of answers extensionally (i.e. by listing them all). I don't consider t=
hat
satisfactory.

#It ddoes have the advantage of being a coherent and correct single=20
#explication of all the interrogatives, in which priperties it seems to be=
=20
#unique, for the rival (which may just be a quasi-formal restatement)=20

As I said, the analyses aren't rivals. I can't think of a formalization tha=
t=20
comes closer to approximating the set of answers analysis than the
extensional analysis does, so in that sense it is a quasi-formal
restatement, and if that's what you think too then your other comments
below are hard to understand

#seems so far to be neither coherent nor correct and to involve a=20
#couple of unexplained notions to boot. It also ignores the role of=20
#informal factors in language generally and in questions particularly, appa=
rently.

As so often, I would find your criticisms more compelling if you=20
succeeded in articulating their substance. I quite often happen to
agree with you, but I don't remember ever having been persuaded
by you.

# <#Well, the {makau} {ce'u} is restricted, too -- maybe more so -- since =
it=20
# #has to generate *answers* and not every possible value will apply=20
# #(indeed, generally most will not). Further, unlike the "bound" {ce'u},=
=20=20
# #the restrictions tend to be implicit rather than overt.=20=20
#
# I think this is incorrect. The extension of ka is the set of all ordered
# n-tuples that instantiate the n ce'u in the ka. So the ce'u are not
# restricted.>
# You were the one who said the extension of {ce'u} was restricted:
# (<in {ko'u fo'u frica lo du'u ce'u prami ma kau} (in standard
# > usage), there are two variables: {ko'u fo'u frica lo du'u X prami Y}.
# > X is restricted to Dubya and Jeb (do we *have* to use Bushes in our
# > exsmples??) and Y ranges freely.>)

I say "Y ranges freely". Y is "the makau ce'u". You say "the makau ce'u
is restricted too". I say "I think this is incorrect". You reply by quoting
me saying "[the makau ce'u] ranges freely".

Or have the wires got crossed somewhere?

# My point is that it is not and further that, even if it were, the extens=
ion=20
#of {makau} is even more restricted -- and implicitly rather than explicitl=
y.
#As for notions of "the extension of ka," it is not yet clear what role the=
se=20
#are to play, since the various formulations involving them do not yet expl=
ain=20
#anything and tend to appear irrelevant to the issues at hand. the extensi=
on=20
#of a property is, indeed, the set of ordered n-tuples that satisfy the=20
#property. But that tells us precious little -- if anything -- about the=20
#function of {ka makau broda} (or even {ka ce'u broda}) in a sentence. No=
r=20
#does it seem open to suggesting a general answer which will fit with the u=
se=20
#of these expressions in connection with the various selbri with which they=
=20
#may occur.=20=20

You have not shown how/that the extension-of analysis gives inappropriate
meanings that are not equivalent to interrogative or q-kau expressions.=20
Jorge has attempted to do that, though without having convinced me yet.

#The set-of-answers explicaton, together with the range of gadri=20
#and quantifiers seems able to deal with these issues (and, if worked out i=
n=20
#the particular formalism and suggests, probably could guide and's version=
=20
#toward adequacy and accuracy).=20=20

Great if it happens. If I could have formalized the set of answers analysis
I would have.

# <#> but in {ko'u fo'u frica lo du'u ce'u prami ma kau} (in standard
# #> usage), there are two variables: {ko'u fo'u frica lo du'u X prami Y}.
# #> X is restricted to Dubya and Jeb (do we *have* to use Bushes in our
# #> exsmples??) and Y ranges freely. By my analysis of Q-kau, Y is
# #> underlyingly ce'u -- ordinary unrestricted woldemarian ce'u. So
# #> although I could accept your story that X is a contextually restricte=
d
# #> ce'u, this leaves us with free and contextually restricted ce'u in th=
e
# #> same bridi, and with no way to tell them apart (in logical form).>
#
# But woldemarian {ce'u} is a lambda bound variable and {makau} is not=20
# obviously so=20

So what are you telling me? That my Insight was not an obvious one...?
;-)

# -- and your problem with it suggests that is should not be so at all. =
=20

??

--And.

