Received: from mail-pz0-f61.google.com ([209.85.210.61]:60234) by stodi.digitalkingdom.org with esmtps (TLSv1:RC4-SHA:128) (Exim 4.76) (envelope-from ) id 1RQRon-0002Wo-T8; Tue, 15 Nov 2011 14:49:41 -0800 Received: by pzk33 with SMTP id 33sf8761163pzk.16 for ; Tue, 15 Nov 2011 14:49:20 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=googlegroups.com; s=beta; h=x-beenthere:received-spf:mime-version:in-reply-to:references:date :message-id:subject:from:to:x-original-sender :x-original-authentication-results:reply-to:precedence:mailing-list :list-id:x-google-group-id:list-post:list-help:list-archive:sender :list-subscribe:list-unsubscribe:content-type; bh=/NB65JNZm9xPfwR9aN92LgzaokgKRKbVj8IiXEYHtXE=; b=wIamcfk1QTDMsDEZXFN2yKoOWXEEjQ47tOJPNbwfSHVmgWxKPykGOU9Ak+14dy/HQV lSK7c4m/75NylWywLCz8Rzh5dbVHeIYYotOqjKzQaCCBeny4Dkhz6cT5H4OkhyKPQHwy EgH/atk7H1LITtw8stXGygkcMrN9HbPfP3cqs= Received: by 10.68.13.106 with SMTP id g10mr3909845pbc.0.1321397358000; Tue, 15 Nov 2011 14:49:18 -0800 (PST) X-BeenThere: lojban@googlegroups.com Received: by 10.68.3.45 with SMTP id 13ls3612334pbz.4.gmail; Tue, 15 Nov 2011 14:49:17 -0800 (PST) Received: by 10.68.28.135 with SMTP id b7mr19871010pbh.8.1321397356989; Tue, 15 Nov 2011 14:49:16 -0800 (PST) Received: by 10.68.28.135 with SMTP id b7mr19871007pbh.8.1321397356960; Tue, 15 Nov 2011 14:49:16 -0800 (PST) Received: from mail-pz0-f45.google.com (mail-pz0-f45.google.com [209.85.210.45]) by gmr-mx.google.com with ESMTPS id l5si6889245pbe.2.2011.11.15.14.49.16 (version=TLSv1/SSLv3 cipher=OTHER); Tue, 15 Nov 2011 14:49:16 -0800 (PST) Received-SPF: pass (google.com: domain of maikxlx@gmail.com designates 209.85.210.45 as permitted sender) client-ip=209.85.210.45; Received: by mail-pz0-f45.google.com with SMTP id 13so16432050pzd.4 for ; Tue, 15 Nov 2011 14:49:16 -0800 (PST) MIME-Version: 1.0 Received: by 10.68.38.41 with SMTP id d9mr62572588pbk.103.1321397356555; Tue, 15 Nov 2011 14:49:16 -0800 (PST) Received: by 10.142.224.8 with HTTP; Tue, 15 Nov 2011 14:49:16 -0800 (PST) In-Reply-To: <1321384275.41207.YahooMailRC@web81306.mail.mud.yahoo.com> References: <20111112173901.GC2702@gonzales> <1321289156.24832.YahooMailRC@web81303.mail.mud.yahoo.com> <8A2121A2-7549-4123-8557-EEE300254097@yahoo.com> <1321384275.41207.YahooMailRC@web81306.mail.mud.yahoo.com> Date: Tue, 15 Nov 2011 17:49:16 -0500 Message-ID: Subject: Re: [lojban] Lions and levels and the like From: maikxlx To: lojban@googlegroups.com X-Original-Sender: maikxlx@gmail.com X-Original-Authentication-Results: gmr-mx.google.com; spf=pass (google.com: domain of maikxlx@gmail.com designates 209.85.210.45 as permitted sender) smtp.mail=maikxlx@gmail.com; dkim=pass (test mode) header.i=@gmail.com Reply-To: lojban@googlegroups.com Precedence: list Mailing-list: list lojban@googlegroups.com; contact lojban+owners@googlegroups.com List-ID: X-Google-Group-Id: 1004133512417 List-Post: , List-Help: , List-Archive: Sender: lojban@googlegroups.com List-Subscribe: , List-Unsubscribe: , Content-Type: multipart/alternative; boundary=bcaec520f53b0b6c5804b1cdccd4 X-Spam-Score: 0.0 (/) X-Spam_score: 0.0 X-Spam_score_int: 0 X-Spam_bar: / --bcaec520f53b0b6c5804b1cdccd4 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Okay, that's pretty close to Bunt's ensembles, as I might as expected. The most primitive notion in these mereological systems is the "part-of" relationship, which effectively replaces "subset-of" (although it re-uses the same rounded "less than or equal" symbol to represent it). In C-sets, membership is most primitive and subset is derived from membership i.e. "A is-subset-a-of B" is shorthand for "if x is-member-of A then x is-member-a-of B". In ensembles "partship" comes first and members (atoms) are defined as the contents of ensembles that happen not to have parts and therefore are effectively singletons, which seems different from what you call an "individualizing principle" (although that sounds like an intriguing concept). Either way, I suspect that you can get everything you need from there. To be clear about one thing, when I said "atoms" previously I only meant "individuals" and not the things that compose molecules. In fact, masses in ensembles are a bit weird in the sense that there is absolutely no necessary commitment whatsoever to the notion of "smallest things" (except exactly when you need them). There are good reasons for this, both theoretical and practical. In the real number line, there is an infinite number of line segments and none of them are smallest. In the case of, say, water (defined as a liquid), it's really impossible to say what a smallest part actually is. A single molecule is not water, though a small group may be, obviously overlapping with other potentially smallest groups before dissolving into its surroundings. But since we're dealing with natural language semantics, there is never a practical need for "water" to encode these vanishingly small quantities, and there are other predicates to do the job. On Tue, Nov 15, 2011 at 2:11 PM, John E Clifford wrot= e: > A so des! Sorry to be so slow.. A mass is a kind extended to be closed > under "part of", a kind is the intersection of a mass and an > individualizing principle (say "viable organism" for lions from lion). B= ut > the relations are formally the same, the jest of mereology (member/subset > -- they fall together). Or, from my on the ground view, kinds grow upwar= d > from individuals to bunches and masses grow downward, from individuals to > physical parts to ultimate atoms, the smallest things that are still of t= he > sort (atoms, molecules, cells, etc.). > I'm not at all sure what this says about Lojban and {lo} expressions or > about levels, come to that. But at least I am, I think finally near the > page you all have been on for awhile. > > ------------------------------ > *From:* maikxlx > *To:* lojban@googlegroups.com > *Sent:* Mon, November 14, 2011 6:55:26 PM > > *Subject:* Re: [lojban] Lions and levels and the like > > Ah, you jarred my memory. Having studied Bunt, I think that I can make > some sense of your earlier writings about Le=C5=9Bniewskian sets (L-sets)= and > Cantorian or classical sets (C-sets) e.g. > http://pckipo.blogspot.com/2009/09/c-sets-and-l-sets-draft.html I take > it that your "bunches" are basically L-sets as there described then? I a= m > not quite sure how L-sets work differently than C-sets, other than they > can't be nested and {a} =3D a. C-sets clearly handle individuals efficie= ntly > and masses poorly; how do L-sets handle masses and individuals? Or is > there a difference? > > FWIW, Bunt's "ensembles" which I mentioned are a bit different than your > L-sets. Ensembles are a set-like structure in which mass is the basic > concept, and atomic individuals are derived or secondary. Any non-empty > ensemble may contain or atomic members (essentially a count ensemble), or > for lack of a better word non-atomic "stuff" (mass ensemble). It could > also contain both atoms and non-atomic stuff. Count and mass ensembles m= ay > combine in predicate relationships freely as in "The five rings were > gold". So they seem pretty useful for capturing human language semantics= . > > On Mon, Nov 14, 2011 at 4:16 PM, John E. Clifford w= rote: > >> Hmmm! Nice case! Of course, some first transistor must have been >> invented that all the others copied and improved upon, but that doesn't >> really dodge your point. At the moment, I don't know what to suggest, >> except to hope that Lojban still has a word for kinds. Bunches are, >> inter alia, Lesniewski's wholes (but xorxes doesn't like this kind of >> objectifying, preferring plural reference, which works the same way >> formally). I don't take 1a to be about kinds, but just about some >> unspecified bunch of lions (at least in Lojban, lo cinfo). Kinds don't >> seem to be the sort of things that ruin gardens, though their exemplars >> may. The factual situation, as far as transistors, etc. are concerned, = is >> about genealogy, all transistors descend from something invented by >> Shockley. But that is at least as hard to express as types, so I wait a >> while on it. >> >> Sent from my iPad >> >> On Nov 14, 2011, at 2:24 PM, maikxlx wrote: >> >> I can understand the appeal of your concept of bunches -- if I understan= d >> them correctly as being something like subsets of the extensions consist= ing >> of mundanes/atoms (perhaps generalized to something like Bunt's ensemble= , >> derivative of Le=C5=9Bniewski 's mereology, to cover masses). E.g.: >> >> - (1a) Lions are ruining my garden. >> >> - (1b) There exist some lions that are ruining my garden. >> >> where (1a) invokes a kind and (1b) invokes a bunch or somesuch, and yet >> both sentences seem to have the same truth conditions or almost the same= . >> >> But yesterday as I was reading random online materials (this one - >> >> http://amor.cms.hu-berlin.de/%7Eh2816i3x/Talks/GenericitySeattle.ho.pdf)= , I found what I think is a good bunch-resisting, kind-example: >> >> >> - (2a) Transistors were invented by Shockley. >> >> One can't get the same result by referring to any bunch: >> >> - (2b) *There exist some transistors that were invented by Shockley. >> >> Nor does taking the biggest possible bunch of transistors help: >> >> - (2c) *All transistors were invented by Shockley. >> >> It seems that though transistors as a kind of thing were invented, no >> mundane transistor nor any extension, ensemble, or bunch of them was >> invented. In (2a) there does seem to be some sort of "transistor kind" >> (dare I say "form") above the mundane, even taking into consideration th= e >> possible worlds that Montague would have in his model. >> >> On Mon, Nov 14, 2011 at 11:45 AM, John E Clifford < >> kali9putra@yahoo.com> wrote: >> > >> > Here we have the advantage of taking kinds and the like as bunches >> (without >> > ontological commitment of things called "bunches"): {su'o lo stuci) ha= s >> > essentially the same result under either interpretation, a subbunch of >> lo >> > stuci. It may, of course, not correspond to the bunches put in as >> kinds of >> > teachers, but it produces a kind of its own. Of course, there remains >> the issue >> > of how this bunch talks to all the students, but, as I have noted >> elsewhere, it >> > all works out to there being some teachers (mundanes) who talk to all >> the >> > students, even if no one teacher does. >> > >> > >> > >> > ----- Original Message ---- >> > From: Jorge Llamb=C3=ADas < jjllambias@gmail.com= > >> > To: lojban@googlegroups.com >> > Sent: Sun, November 13, 2011 7:10:17 AM >> > Subject: Re: [lojban] Lions and levels and the like >> > >> > On Sat, Nov 12, 2011 at 2:39 PM, Martin Bays < >> mbays@sdf.org> wrote: >> > > >> > > What I mean by this (i.e. by "really"): if B hears A say {su'o ctuca >> cu >> > > tavla ro le tadni}, and B wants to understand what A means to say >> about >> > > actual teachers and actual students, and if {ctuca} and {tadni} do n= ot >> > > specify levels, then B has to guess which levels A intends them to >> refer >> > > to. If, for example, B guesses that A is talking about kinds of >> teacher >> > > and about actual students, all B can deduce about actual teachers an= d >> > > students is that every student was talked to by some teacher. >> > >> > You have some hidden assumptions there, for example that there are >> > actual teachers of the kind that talks to every student. >> > >> > And B can deduce more: that there is some kind of teacher such that >> > every student was talked to by some teacher of that kind. >> > >> > mu'o mi'e xorxes >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups >> > "lojban" group. >> > To post to this group, send email to >> lojban@googlegroups.com. >> > To unsubscribe from this group, send email to >> > >> lojban+unsubscribe@googlegroups.com. >> > For more options, visit this group at >> > >> http://groups.google.com/group/lojban?hl=3Den. >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups "lojban" group. >> > To post to this group, send email to >> lojban@googlegroups.com. >> > To unsubscribe from this group, send email to >> >> lojban+unsubscribe@googlegroups.com. >> > For more options, visit this group at >> >> http://groups.google.com/group/lojban?hl=3Den. >> > >> >> -- >> You received this message because you are subscribed to the Google Group= s >> "lojban" group. >> To post to this group, send email to lojban@googlegroups.com. >> To unsubscribe from this group, send email to >> lojban+unsubscribe@googlegroups.com. >> For more options, visit this group at >> http://groups.google.com/group/lojban?hl=3Den. >> >> -- >> You received this message because you are subscribed to the Google Group= s >> "lojban" group. >> To post to this group, send email to lojban@googlegroups.com. >> To unsubscribe from this group, send email to >> lojban+unsubscribe@googlegroups.com. >> For more options, visit this group at >> http://groups.google.com/group/lojban?hl=3Den. >> > > -- > You received this message because you are subscribed to the Google Groups > "lojban" group. > To post to this group, send email to lojban@googlegroups.com. > To unsubscribe from this group, send email to > lojban+unsubscribe@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/lojban?hl=3Den. > > -- > You received this message because you are subscribed to the Google Groups > "lojban" group. > To post to this group, send email to lojban@googlegroups.com. > To unsubscribe from this group, send email to > lojban+unsubscribe@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/lojban?hl=3Den. > --=20 You received this message because you are subscribed to the Google Groups "= lojban" group. To post to this group, send email to lojban@googlegroups.com. To unsubscribe from this group, send email to lojban+unsubscribe@googlegrou= ps.com. For more options, visit this group at http://groups.google.com/group/lojban= ?hl=3Den. --bcaec520f53b0b6c5804b1cdccd4 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Okay, that's pretty close to Bunt's ensembles, as I might as expect= ed.=C2=A0 The most primitive notion in these mereological systems is the &q= uot;part-of" relationship, which effectively replaces "subset-of&= quot; (although it re-uses the same rounded "less than or equal" = symbol to represent it).=C2=A0 In C-sets, membership is most primitive and = subset is derived from membership i.e. "A is-subset-a-of B" is sh= orthand for "if x is-member-of A then x is-member-a-of B".=C2=A0 = In ensembles "partship" comes first and members (atoms) are defin= ed as the contents of ensembles that happen not to have parts and therefore= are effectively singletons, which seems different from what you call an &q= uot;individualizing principle" (although that sounds like an intriguin= g concept).=C2=A0 Either way, I suspect that you can get everything you nee= d from there.

To be clear about one thing, when I said "atoms" previously I= only meant "individuals" and not the things that compose molecul= es.=C2=A0 In fact, masses in ensembles are a bit weird in the sense that th= ere is absolutely no necessary commitment whatsoever to the notion of "= ;smallest things" (except exactly when you need them).=C2=A0 There are= good reasons for this, both theoretical and practical.=C2=A0 In the real n= umber line, there is an infinite number of line segments and none of them a= re smallest.=C2=A0 In the case of, say, water (defined as a liquid), it'= ;s really impossible to say what a smallest part actually is.=C2=A0 A singl= e molecule is not water, though a small group may be, obviously overlapping= with other potentially smallest groups before dissolving into its surround= ings.=C2=A0 But since we're dealing with natural language semantics, th= ere is never a practical need for "water" to encode these vanishi= ngly small quantities, and there are other predicates to do the job.


On Tue, Nov 15, 2011 at 2:11 PM, John E = Clifford <kali= 9putra@yahoo.com> wrote:
A so des!=C2=A0 Sorry to be so slow..=C2=A0 A mass is a k= ind extended to be closed under "part of", a kind is the intersec= tion of a mass and an individualizing principle (say "viable organism&= quot; for lions from lion).=C2=A0 But the relations are formally the same, = the jest of mereology (member/subset -- they fall together).=C2=A0 Or, from= my on the ground view, kinds grow upward from individuals to bunches and m= asses grow downward, from individuals to physical parts to ultimate atoms, = the smallest things that are still of the sort (atoms, molecules, cells, et= c.).
I'm not at all sure what this says about Lojban and {lo} expressions or= about levels, come to that.=C2=A0 But at least I am, I think finally near = the page you all have been on for awhile.


From: maikxlx <maikxlx@gmail.com>
To: lojban@googlegroups.com
Sent: Mon, November 14, 2011 6:= 55:26 PM

Subject: Re: [lojban] = Lions and levels and the like

Ah, you jarred my memory.=C2=A0 Having studied Bunt, I think that I can mak= e some sense of your earlier writings about Le=C5=9Bniewskian sets (L-sets)= and Cantorian or classical sets (C-sets) e.g. http://pc= kipo.blogspot.com/2009/09/c-sets-and-l-sets-draft.html=C2=A0 I take it = that your "bunches" are basically L-sets as there described then?= =C2=A0 I am not quite sure how L-sets work differently than C-sets, other t= han they can't be nested and {a} =3D a.=C2=A0 C-sets clearly handle ind= ividuals efficiently and masses poorly; how do L-sets handle masses and ind= ividuals?=C2=A0 Or is there a difference?

FWIW, Bunt's "ensembles" which I mentioned are a bit diff= erent than your L-sets.=C2=A0 Ensembles are a set-like structure in which m= ass is the basic concept, and atomic individuals are derived or secondary.= =C2=A0 Any non-empty ensemble may contain or atomic members (essentially a = count ensemble), or for lack of a better word non-atomic "stuff" = (mass ensemble).=C2=A0 It could also contain both atoms and non-atomic stuf= f.=C2=A0 Count and mass ensembles may combine in predicate relationships fr= eely as in "The five rings were gold".=C2=A0 So they seem pretty = useful for capturing human language semantics.

On Mon, Nov 14, 2011= at 4:16 PM, John E. Clifford <kali9putra@yahoo.com> wrote:
Hmmm! =C2=A0Nice case! =C2=A0Of course, some fi= rst transistor must have been invented that all the others copied and impro= ved upon, but that doesn't really dodge your point. =C2=A0At the moment= , I don't know what to suggest, except to hope that Lojban still has=C2=A0a word for kinds. =C2=A0Bunches are, inter alia, Lesniewski's = wholes (but xorxes doesn't like this kind of objectifying, preferring p= lural reference, which works the same way formally). =C2=A0I don't take= 1a to be about kinds, but just about =C2=A0 =C2=A0 some unspecified bunch = of lions (at least in Lojban, lo cinfo). =C2=A0Kinds don't seem to be t= he sort of things that ruin gardens, though their exemplars may. =C2=A0The = factual situation, as far as transistors, etc. are concerned, is about gene= alogy, all transistors descend from something invented by Shockley. =C2=A0B= ut that is at least as hard to express as types, so I wait a while on it.

Sent from my iPad
I can understand the appeal of your concept of bunches -- if I understand = them correctly as being something like subsets of the extensions consisting= of mundanes/atoms (perhaps generalized to something like Bunt's ensemb= le, derivative of Le=C5=9Bniewski 's mereology, to cover masses). =C2= =A0=C2=A0 E.g.:

- (1a) Lions are ruining my garden.=C2=A0

- (1b) There exist so= me lions that are ruining my garden.

where (1a) invokes a kind and (= 1b) invokes a bunch or somesuch, and yet both sentences seem to have the sa= me truth conditions or almost the same.

But yesterday as I was reading random online materials (this one = - http://amor.cms.hu-berlin.de/%7Eh2816i3x/Talks/GenericitySeattle.ho= .pdf ), I found what I think is a good bunch-resisting, kind-example:


- (2a) Transistors were invented by Shockley.

One can't get = the same result by referring to any bunch:

- (2b) *There exist some = transistors that were invented by Shockley.

Nor does taking the big= gest possible bunch of transistors help:

- (2c) *All transistors were invented by Shockley.

It seems that though transistors as a kind of thing were invented, no m= undane transistor nor any extension, ensemble, or bunch of them was invente= d.=C2=A0 In (2a) there does seem to be some sort of "transistor kind&q= uot; (dare I say "form") above the mundane, even taking into cons= ideration the possible worlds that Montague would have in his model.

On Mon, Nov 14, 2011 at 11:45 AM, John E Clifford <kali9putra@ya= hoo.com> wrote:
>
> Here we have the advantage of taking kinds and the like as bun= ches (without
> ontological commitment of things called "bunches"): {su'= o lo stuci) has
> essentially the same result under either interpreta= tion, a subbunch of lo
> stuci. =C2=A0It may, of course, not correspo= nd to the bunches put in as kinds of
> teachers, but it produces a kind of its own. =C2=A0Of course, there re= mains the issue
> of how this bunch talks to all the students, but, a= s I have noted elsewhere, it
> all works out to there being some teac= hers (mundanes) who talk to all the
> students, even if no one teacher does.
>
>
>
>= ----- Original Message ----
> From: Jorge Llamb=C3=ADas <jj= llambias@gmail.com>
> To: lojban@googlegroups.com
> Sent: Sun, November 13, 2011 7:10:17 AM
> Subject: Re: [lojban] = Lions and levels and the like
>
> On Sat, Nov 12, 2011 at 2:39 = PM, Martin Bays <mbays@sdf.org> wrote:
> >
> > What I mean by this (i.e. by "really"): if= B hears A say {su'o ctuca cu
> > tavla ro le tadni}, and B wa= nts to understand what A means to say about
> > actual teachers an= d actual students, and if {ctuca} and {tadni} do not
> > specify levels, then B has to guess which levels A intends them t= o refer
> > to. If, for example, B guesses that A is talking about= kinds of teacher
> > and about actual students, all B can deduce = about actual teachers and
> > students is that every student was talked to by some teacher.
= >
> You have some hidden assumptions there, for example that there= are
> actual teachers of the kind that talks to every student.
>
> And B can deduce more: that there is some kind of teacher such= that
> every student was talked to by some teacher of that kind.
= >
> mu'o mi'e xorxes
>
> --
> You receiv= ed this message because you are subscribed to the Google Groups
> "lojban" group.
> To post to this group, send email to= lojban@googlegroups.com.
> To unsubscribe from this group, send email to
> lojban+unsubscribe@googlegroups.com.
> For more options, visit this group at
> http://groups.google.com/group/lojban?hl=3Den.
>
> --
> You received this message because you are subscribe= d to the Google Groups "lojban" group.
> To post to this group, send email to lojban@googlegroups.c= om.
> To unsubscribe from this group, send email to lojban+unsubscribe@googlegroups.com.
> For more options, visit this group at http://groups.google.com/group/lojban?hl=3Den.
>

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