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Date: Sun, 14 Oct 2001 10:48:50 EDT
Subject: Re: [lojban] pc's webpage
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In a message dated 10/12/2001 8:29:45 PM Central Daylight Time,=20
a.rosta@ntlworld.com writes:


> 1. "It is certain that the scope ends at the next {ni=E2=80=99o} or {da=
=E2=80=99o}; it
> probably ends at the next undecorated {i}."
>=20
> Mark made a widely well-received proposal that single {da'o} evacuates
> only the preceding anaphor/variable/name, while {da'o da'o} evacuates
> all.
>=20

Yes, and I like it. It is not yet doctrine, however.

<2. "On the other hand, occurrences of a bound variable that are clearly in
=C2=A0=C2=A0 the scope of a quantifier may be rebound by another explicit
=C2=A0=C2=A0 quantifier, keeping more or less the same reference: {ci da zo=
=E2=80=99u da
=C2=A0=C2=A0 nanmu gi=E2=80=99e nenri klama le barja ije re da zutse} =E2=
=80=9CThree men come into a
=C2=A0=C2=A0 bar and two of them sit,=E2=80=9D=C2=A0 where the second quant=
ifier on {da} works
=C2=A0=C2=A0 within the limits of the groups selected by the first.=C2=A0 A=
quantifier in
=C2=A0=C2=A0 Lojban cannot be recycled within the scope of a quantifier on =
that same
=C2=A0=C2=A0 variable."

I believe the ban on recycling -- which is better-formulated here than I
saw it formulated in list discussion -- was a recent proposal rather than p=
art
of established canon. In discussion, a range of views were put
forward:

(i) Requantification recycles the variable (as if it were {da da'o}) as if
it were being used for the first time.

(ii) Requantification recycles the variable but earlier restrictions on
the variable are not cancelled, so
=C2=A0 {ci da poi gerku zo'u ge da cliva gi re da bacru}
means "two dogs barked" rather than "two of the dogs barked", and
=C2=A0 {ci da poi gerku zo'u ge da cliva gi re da poi xekri cu bacru}
means "two black dogs", and not just "two black things".
I suppose the restriction would stay in force until the next {da da'o}
or {da'o da'o}.

(iii) Requantification is over the individuals picked out by the initial
quantification (as per your [pc's] text).

I think the choice among these (and other possible alternatives) has yet to=
be
agreed on.>

Again, I have a lot of sympathy with some of these proposals -- especially=
=20
the simple recycling one (as in Logic), but the official doctrine is as I=20
describe it, 16.14 (410).

<3. "The bridi negation {na} is always logically to the left of even the
=C2=A0=C2=A0 quantifiers in the prenex, so again it is useful to check whet=
her you
=C2=A0=C2=A0 have negated the right form when a negation occurs."
Perhaps this is said in the book, but at least in the Lojban internalized b=
y=20
me,
prenex has scope over the rest of the bridi.>

16.9 (401) ff and especially 16.11 (405) x11.1-4



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<HTML><FONT FACE=3Darial,helvetica><BODY BGCOLOR=3D"#ffffff"><FONT SIZE=3D=
2>In a message dated 10/12/2001 8:29:45 PM Central Daylight Time, a.rosta@n=
tlworld.com writes:
<BR>
<BR>
<BR><BLOCKQUOTE TYPE=3DCITE style=3D"BORDER-LEFT: #0000ff 2px solid; MARGIN=
-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">1. "It is certain that th=
e scope ends at the next {ni=E2=80=99o} or {da=E2=80=99o}; it
<BR> &nbsp;&nbsp;probably ends at the next undecorated {i}."
<BR>
<BR>Mark made a widely well-received proposal that single {da'o} evacuates
<BR>only the preceding anaphor/variable/name, while {da'o da'o} evacuates
<BR>all.
<BR></BLOCKQUOTE>
<BR>
<BR>Yes, and I like it. &nbsp;It is not yet doctrine, however.
<BR>
<BR>&lt;2. "On the other hand, occurrences of a bound variable that are cle=
arly in
<BR>=C2=A0=C2=A0 the scope of a quantifier may be rebound by another explic=
it
<BR>=C2=A0=C2=A0 quantifier, keeping more or less the same reference: {ci d=
a zo=E2=80=99u da
<BR>=C2=A0=C2=A0 nanmu gi=E2=80=99e nenri klama le barja ije re da zutse} =
=E2=80=9CThree men come into a
<BR>=C2=A0=C2=A0 bar and two of them sit,=E2=80=9D=C2=A0 where the second q=
uantifier on {da} works
<BR>=C2=A0=C2=A0 within the limits of the groups selected by the first.=C2=
=A0 A quantifier in
<BR>=C2=A0=C2=A0 Lojban cannot be recycled within the scope of a quantifier=
on that same
<BR>=C2=A0=C2=A0 variable."
<BR>
<BR>I believe the ban on recycling -- which is better-formulated here than =
I
<BR>saw it formulated in list discussion -- was a recent proposal rather th=
an part
<BR>of established canon. In discussion, a range of views were put
<BR>forward:
<BR>
<BR>(i) Requantification recycles the variable (as if it were {da da'o}) as=
if
<BR>it were being used for the first time.
<BR>
<BR>(ii) Requantification recycles the variable but earlier restrictions on
<BR>the variable are not cancelled, so
<BR>=C2=A0 {ci da poi gerku zo'u ge da cliva gi re da bacru}
<BR>means "two dogs barked" rather than "two of the dogs barked", and
<BR>=C2=A0 {ci da poi gerku zo'u ge da cliva gi re da poi xekri cu bacru}
<BR>means "two black dogs", and not just "two black things".
<BR>I suppose the restriction would stay in force until the next {da da'o}
<BR>or {da'o da'o}.
<BR>
<BR>(iii) Requantification is over the individuals picked out by the initia=
l
<BR>quantification (as per your [pc's] text).
<BR>
<BR>I think the choice among these (and other possible alternatives) has ye=
t to be
<BR>agreed on.&gt;
<BR>
<BR>Again, I have a lot of sympathy with some of these proposals -- especia=
lly the simple recycling one (as in Logic), but the official doctrine is as=
I describe it, 16.14 (410).
<BR>
<BR>&lt;3. "The bridi negation {na} is always logically to the left of even=
the
<BR>=C2=A0=C2=A0 quantifiers in the prenex, so again it is useful to check =
whether you
<BR>=C2=A0=C2=A0 have negated the right form when a negation occurs."
<BR>Perhaps this is said in the book, but at least in the Lojban internaliz=
ed by me,
<BR>prenex has scope over the rest of the bridi.&gt;
<BR>
<BR>16.9 (401) ff and especially 16.11 (405) x11.1-4
<BR>
<BR></FONT></HTML>

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