Received: from mail-vw0-f61.google.com ([209.85.212.61]:42845) by stodi.digitalkingdom.org with esmtps (TLSv1:RC4-SHA:128) (Exim 4.76) (envelope-from ) id 1Rs5Vo-0004TG-4x; Mon, 30 Jan 2012 20:40:12 -0800 Received: by vbbez10 with SMTP id ez10sf974639vbb.16 for ; Mon, 30 Jan 2012 20:40:01 -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:from :date:message-id:subject: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=TdPaGS3kYOVUfw7swUZTJeDXKErK2IbTAjqlnTwu2Tg=; b=YHNk3AGzCWZrx6ujMgBsQ3/nnSFYoD48ucr+fDULNVVAPbD1pYRA339vUIdrLTdIkn T0et/pcIgq+SQIxzW6EowZUV40DpuDgxpiAMLgHuuxWiZsW34oMohZ7wmDbAsTc9lMcV GD/llKzGrtfRvqOPThBrnIQnVPLvfljTYWW8M= Received: by 10.52.74.4 with SMTP id p4mr10475vdv.15.1327984798571; Mon, 30 Jan 2012 20:39:58 -0800 (PST) X-BeenThere: lojban@googlegroups.com Received: by 10.52.161.135 with SMTP id xs7ls3645049vdb.4.gmail; Mon, 30 Jan 2012 20:39:57 -0800 (PST) Received: by 10.52.174.195 with SMTP id bu3mr16813507vdc.2.1327984797659; Mon, 30 Jan 2012 20:39:57 -0800 (PST) Received: by 10.52.174.195 with SMTP id bu3mr16813506vdc.2.1327984797641; Mon, 30 Jan 2012 20:39:57 -0800 (PST) Received: from mail-vw0-f42.google.com (mail-vw0-f42.google.com [209.85.212.42]) by gmr-mx.google.com with ESMTPS id z12si6030766vde.0.2012.01.30.20.39.57 (version=TLSv1/SSLv3 cipher=OTHER); Mon, 30 Jan 2012 20:39:57 -0800 (PST) Received-SPF: pass (google.com: domain of nictytan@gmail.com designates 209.85.212.42 as permitted sender) client-ip=209.85.212.42; Received: by mail-vw0-f42.google.com with SMTP id ez10so7162884vbb.1 for ; Mon, 30 Jan 2012 20:39:57 -0800 (PST) Received: by 10.52.17.174 with SMTP id p14mr9542474vdd.20.1327984797247; Mon, 30 Jan 2012 20:39:57 -0800 (PST) MIME-Version: 1.0 Received: by 10.52.34.136 with HTTP; Mon, 30 Jan 2012 20:39:37 -0800 (PST) In-Reply-To: References: <2fa43a2f-8a3d-4b19-ae52-1feb706cd28f@s18g2000vby.googlegroups.com> <6a9b6378-7845-4291-9c27-9536498f6bf6@b20g2000yqb.googlegroups.com> From: Jacob Errington Date: Mon, 30 Jan 2012 23:39:37 -0500 Message-ID: Subject: Re: [lojban] Re: Bayesian evidential? To: lojban@googlegroups.com X-Original-Sender: nictytan@gmail.com X-Original-Authentication-Results: gmr-mx.google.com; spf=pass (google.com: domain of nictytan@gmail.com designates 209.85.212.42 as permitted sender) smtp.mail=nictytan@gmail.com; dkim=pass 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=bcaec501c0421b682c04b7cb8e5b X-Spam-Score: 0.0 (/) X-Spam_score: 0.0 X-Spam_score_int: 0 X-Spam_bar: / --bcaec501c0421b682c04b7cb8e5b Content-Type: text/plain; charset=ISO-8859-1 There are already some cmavo that can be used for expressing the certainty of a claim: je'u - truly (tautological, e.g. all dogs are dogs) ju'o - certainly (almost complete certainly) la'a - probably ----cu'i maybe (where all of these cmavo suffixed with -cu'i essentially mean the same thing) la'anai - probably not ju'onai - certainly not je'unai - falsely (statements which claim falsehoods, e.g. Germany borders China) Although a system using a numeric certainty value would be interesting, it probably (see what I did there, ^^) wouldn't be used very much. However, if I were to agree with a selma'o, MAI would be it. You need a system that produces a free modifier, accepting a number *somewhere*. The advantage is of course that lojban numbers can be vague, where some of these numbers could correspond with the cmavo listed above. On the other hand, making up experimental cmavo is very touchy, and I wouldn't recommend it under most circumstances, this one being one of such instances. The potential usefulness of such an experimental cmavo is definitely outweighed by the simple fact that adding new words for concepts that are generally expressible using some other method is a bad practice. Lojban needs some kind of stability, and adding cmavo left and right is not the way to do it. Personally, some cmavo are nice to have as hacks (ze'ei) and some are nice as shortcuts (zo'ei, ZOhOI, and ma'oi), but depending on to whom I'm talking, I tend to adapt my grammar, especially with new Lojbanists, whom I don't want to indoctrinate into unofficial grammars. All in all, I advocate using [fi'o te kanpe] as suggested (isn't it ironic though that kanpe itself is an experimental ;) ) when it comes to indicating the certainty of a claim. However, should it arise to indicate the certainty of some specific component where using a TAG is not appropriate (these cases are rare; for all sumti, it is possible to use [pe TAG] and for all selbri [be TAG]) I would propose using one of the modifiers in my above list. mu'o mi'e la tsani On 30 January 2012 15:28, Michael Turniansky wrote: > I"d probably use fi'o te kanpe, as arpis mentioned, myself... > > --gejyspa > > On Mon, Jan 23, 2012 at 3:53 PM, D wrote: > >> On Jan 23, 11:50 am, Adam Lopresto wrote: >> > On Mon, Jan 23, 2012 at 10:27 AM, D wrote: >> >> > > the whole idea is to >> > > associate a numerical value with the sumti being tagged >> >> > > Hm... {bei'e} comes reasonably close to containing most of the sounds >> > > of "Bayes", and doesn't seem to be in use by any other experimental >> > > cmavo. >> >> > I'd suggest making it a MAI; the number goes in front of it, and the >> entire >> > thing is a free-modifier. >> >> That's so crazy that it just might work. >> >> And since the evidentials themselves are free-modifiers, it should be >> simple enough to pretend that {pabei'e} and its cousins, while built >> as MAIs, should be placed the way evidentials are (ie, at the start of >> an evidenced sentence, or after a specific evidenced word). It also >> allows for a few entertaining constructions, such as {ma'ubei'e} >> meaning "more than 50% confidence" or "preponderance of the evidence", >> and {xobei'e} to ask how confident the listener is about something. >> >> >> So, how does this sound as a proposal for an experimental cmavo? >> >> {bei'e} >> MAI >> Built as a MAI, placed as an evidential. The number added to the front >> is the decibels of logarithmic Bayesian probability the speaker >> assigns to the word or phrase that the {bei'e} refers to. 0, >> {nobei'e}, represents 50% confidence, higher numbers greater >> confidence, lower numbers lesser confidence, as according to E.T. >> Jaynes' standard description. >> >> >> (There's probably some easier way to refer to how the decibels compare >> to standard linear odds, but the best way I know of is simply to point >> to a table, such as this one:) >> >> >> decibels / Level of belief / Rough Odds / notes >> >> -oo / 0% / 1:oo / complete disbelief, unachievable save for paradoxes >> >> -6 / 20.0% / 1:4 / >> -5 / 24.0% / 1:3 / >> -4 / 28.5% / 2:5 / a reasonable doubt >> -3 / 33.3% / 1:2 / >> -2 / 38.7% / 2:3 / probable cause >> -1 / 44.3% / 4:5 / >> 0 / 50.0% / 1:1 / neither belief nor disbelief; agnosticism >> 1 / 55.7% / 5:4 / preponderance of the evidence >> 2 / 61.3% / 3:2 / >> 3 / 66.6% / 2:1 / clear and convincing evidence >> 4 / 71.5% / 5:2 / >> 5 / 76.0% / 3:1 / beyond a reasonable doubt >> 6 / 80.0% / 4:1 / >> 7 / 83.3% / 5:1 / >> 8 / 86.3% / 6:1 / >> 9 / 88.8% / 8:1 / >> 10 / 90.9% / 10:1 / one nine >> >> 13 / 95.2% / 20:1 / lone studies with p=0.05 >> 20 / 99.0% / 100:1 / two nines, lone studies with p=0.01 >> 26 / 99.7% / 400:1 / confirmed studies with p=0.05 >> 30 / 99.9% / 1,000:1 / three nines >> 40 / 99.99% / 10,000:1 / four nines, confirmed studies with p=0.01 >> 42 / 99.993% / 16,000:1 / 4 standard deviations >> 50 / 99.999% / 100,000:1 / five nines >> 60 / 99.9999% / 1,000,000:1 / six nines >> 62 / 99.99994% / 1,500,000:1 / 5 standard deviations >> 87 / 99.9999998% / 500,000,000:1 / 6 standard deviations >> 116 / 99.9999999997% / 390,000,000,000:1 / 7 standard deviations >> >> oo / 100% / oo:1 / complete certainty, unachievable save for >> tautologies >> >> >> ki'esai, >> -- >> DataPacRat >> lu .iacu'i ma krinu lo du'u .ei mi krici la'e di'u li'u traji lo ka >> vajni fo lo preti >> >> -- >> 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=en. >> >> > -- > 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=en. > -- 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=en. --bcaec501c0421b682c04b7cb8e5b Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable There are already some cmavo that can be used for expressing the certainty = of a claim:
je'u - truly (tautological, e.g. all dogs are dogs)
ju'o - certainly (almost complete certainly)
la'a = - probably
----cu'i maybe (where all of these cmavo suffixed with -cu'i e= ssentially mean the same thing)
la'anai - probably not
<= div>ju'onai - certainly not
je'unai - falsely (statements= which claim falsehoods, e.g. Germany borders China)

Although a system using a numeric certainty value would= be interesting, it probably (see what I did there, ^^) wouldn't be use= d very much. However, if I were to agree with a selma'o, MAI would be i= t. You need a system that produces a free modifier, accepting a number *som= ewhere*. The advantage is of course that lojban numbers can be vague, where= some of these numbers could correspond with the cmavo listed above.

On the other hand, making up experimental cmavo is very= touchy, and I wouldn't recommend it under most circumstances, this one= being one of such instances. The potential usefulness of such an experimen= tal cmavo is definitely outweighed by the simple fact that adding new words= for concepts that are generally expressible using some other method is a b= ad practice. Lojban needs some kind of stability, and adding cmavo left and= right is not the way to do it. Personally, some cmavo are nice to have as = hacks (ze'ei) and some are nice as shortcuts (zo'ei, ZOhOI, and ma&= #39;oi), but depending on to whom I'm talking, I tend to adapt my gramm= ar, especially with new Lojbanists, whom I don't want to indoctrinate i= nto unofficial grammars.

All in all, I advocate using [fi'o te kanpe] as sug= gested (isn't it ironic though that kanpe itself is an experimental ;) = ) when it comes to indicating the certainty of a claim. However, should it = arise to indicate the certainty of some specific component where using a TA= G is not appropriate (these cases are rare; for all sumti, it is possible t= o use [pe TAG] and for all selbri [be TAG]) I would propose using one of th= e modifiers in my above list.

mu'o mi'e la tsani

On 30 January 2012 15:28, Michael Turniansky <mturniansky@gmail.com>= wrote:
=A0 I"d probably use f= i'o te kanpe, as arpis mentioned, myself...

=A0 =A0 --gejyspa

On Mon, Jan 23, 2012 at 3:53 PM, D <datapacrat@gmail.com> wrote:
On Jan 23, 11:50=A0am, Adam Lopresto <adamlopre...@gmail= .com> wrote:
> On Mon, Jan 23, 2012 at 10:27 AM, D <datapac...@gmail.com> wrote:

> > the whole idea is to
> > associate a numerical value with the sumti being tagged

> > Hm... {bei'e} comes reasonably close to containing= most of the sounds
> > of "Bayes", and doesn't seem to be in use by any ot= her experimental
> > cmavo.

> I'd suggest making it a MAI; the number goes in front o= f it, and the entire
> thing is a free-modifier.

That's so crazy that it just might work.

And since the evidentials themselves are free-modifiers, it should be
simple enough to pretend that {pabei'e} and its cousins, while built as MAIs, should be placed the way evidentials are (ie, at the start of
an evidenced sentence, or after a specific evidenced word). It also
allows for a few entertaining constructions, such as {ma'ubei'e} meaning "more than 50% confidence" or "preponderance of the = evidence",
and {xobei'e} to ask how confident the listener is about something.


So, how does this sound as a proposal for an experimental cmavo?

{bei'e}
MAI
Built as a MAI, placed as an evidential. The number added to the front
is the decibels of logarithmic Bayesian probability the speaker
assigns to the word or phrase that the {bei'e} refers to. 0,
{nobei'e}, represents 50% confidence, higher numbers greater
confidence, lower numbers lesser confidence, as according to E.T.
Jaynes' standard description.


(There's probably some easier way to refer to how the decibels compare<= br> to standard linear odds, but the best way I know of is simply to point
to a table, such as this one:)


decibels / Level of belief / Rough Odds / notes

-oo / 0% / 1:oo / complete disbelief, unachievable save for paradoxes

-6 / 20.0% / 1:4 /
-5 / 24.0% / 1:3 /
-4 / 28.5% / 2:5 / a reasonable doubt
-3 / 33.3% / 1:2 /
-2 / 38.7% / 2:3 / probable cause
-1 / 44.3% / 4:5 /
0 / 50.0% / 1:1 / neither belief nor disbelief; agnosticism
1 / 55.7% / 5:4 / preponderance of the evidence
2 / 61.3% / 3:2 /
3 / 66.6% / 2:1 / clear and convincing evidence
4 / 71.5% / 5:2 /
5 / 76.0% / 3:1 / beyond a reasonable doubt
6 / 80.0% / 4:1 /
7 / 83.3% / 5:1 /
8 / 86.3% / 6:1 /
9 / 88.8% / 8:1 /
10 / 90.9% / 10:1 / one nine

13 / 95.2% / 20:1 / lone studies with p=3D0.05
20 / 99.0% / 100:1 / two nines, lone studies with p=3D0.01
26 / 99.7% / 400:1 / confirmed studies with p=3D0.05
30 / 99.9% / 1,000:1 / three nines
40 / 99.99% / 10,000:1 / four nines, confirmed studies with p=3D0.01
42 / 99.993% / 16,000:1 / 4 standard deviations
50 / 99.999% / 100,000:1 / five nines
60 / 99.9999% / 1,000,000:1 / six nines
62 / 99.99994% / 1,500,000:1 / 5 standard deviations
87 / 99.9999998% / 500,000,000:1 / 6 standard deviations
116 / 99.9999999997% / 390,000,000,000:1 / 7 standard deviations

oo / 100% / oo:1 / complete certainty, unachievable save for
tautologies


ki'esai,
--
DataPacRat
lu .iacu'i ma krinu lo du'u .ei mi krici la'e di'u li'u= traji lo ka
vajni fo lo preti

--
You received this message because you are subscribed to the Google Groups &= quot;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/lojba= n?hl=3Den.


--
You received this message because you are subscribed to the Google Groups &= quot;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/lojba= n?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@googlegrou= ps.com.
For more options, visit this group at http://groups.google.com/group/lojban= ?hl=3Den.
--bcaec501c0421b682c04b7cb8e5b--