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2. There should be new cmavo for individuals, sets and masses
3. new design of connectives
Let's discuss it now ))).After reading the article I want new language even less.The monkey took the banana and ate it.Pam went home because she felt sick.The dog ate the bird and it died. (!!!!!!!!!!!)In each case I can use {ta} and the context will decide who felt sick (the house or Pam) and who died (the dog or the bird).In other cases vo'a, ko'a can solve the problem.{sei} can be problematic for me but I hope CLL 1.1 will explain it.I can think of no other cases of anaphora.And it's still am mystery for me what can be done with2. There should be new cmavo for individuals, sets and masses3. new design of connectives
On Monday, July 2, 2012 10:26:12 AM UTC+4, la .lindar. wrote:It's come up a few times.I think we're working on the rest.It's a theoretical next-step language, but I don't see it happening any time soon since we're changing up our game.
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Ah ha! I have found it. It's actually in an topic on the main Lojban group entitled "The Mad Proposals": https://groups.google.com/forum/?fromgroups#!topic/lojban/ExtEumbYoQg
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LoCCan3 has been for more than 20 years (and before that there was Loglan 2.0) a repository for noting flaws perceived in Lojban (and before that Loglan) and for suggested solutions and other improvements (read scare quotes where you will). The active content has varied over the years: no one is hot for adding or dropping phonemes at the moment, for example. But a few items have endured, usually connected with perceived problems.0. A complete redo of the vocabulary (obviously not back-compatible). The present vocab clusters in some phonetic spaces and leaves others bare, increasing the likelihood of confusion in noisy environments (if Lojban is ever used in one) and making it harder to find fragments for constructing compounds and related cmavo. The only reason for the present word list is the claimed ease of learning, a claim that has never been tested on even English speakers, let alone Chinese or other languages or relevant multilinguals. The evidence presented is either intuitive or anecdotal and these are countered by anecdotal difficulties ("false friends" they used to be called). The revamp includes a revision of the definitions, which could be done separately (with a bit more compatibility) to make the definitions simpler (generally fewer places, with many places that occur in many definitions but are rarely used spun off to prepositions) and more uniform (all words of the same sort (you are keeping your supply of scare quotes running, I hope) would have the same pattern of places). A general shake down of the cmavo system is also part of this, sharpening definitions, clarifying roles, getting rid of detritus, relieving confusion pressure, etc. For the most part, this is not Lojban at all but the beginnings of a real third generation from Loglan. So not going to happen until the next charismatic nut-case comes along.
1. Anaphora. The logical ideal is a way to refer back to any previously mentioned thing unambiguously and transparently from anywhere in the later discourse. Practically impossible with pronouns, unless every noun is assigned a carrier at birth (and there are problems even with that). Loglan can come remarkably close, but the system barely works with written text and is just not practical in spoken language beyond very short intervals. The usable Lojban techniques, official and not, work as well as the unofficial for the most part but are also of limited scope. The rule "Repetition is also anaphora" seems the best way to go, though even it has to be used carefully in some Cataphora (referring to something about to be mentioned) is always short scope and can be eased by mentioning it now already.
2. Words for individuals and sets and masses arose out of the muddle, inherited from Loglan and not much tidied up in CLL, about what exactly 'lo broda' referred to. The old underlying logic had only individuals, some of which were sets that contained other individuals (or not). The problem then was to deal with groups that did not behave like sets in set theory but could still go in for individual variables. For some reason, the notion that ordinary sets could take properties in different ways from the usual ways for sets did not occur to anyone, so this remained a problem. Until xorxes found a book about plural reference/instantiation. According to this, a singular noun could refer to several things at once and a singular variable could be simultaneously instantiated to several things at once. Conceptually differently, but formally the same, sets could be Lesniewskian rather than Cantorian, so that getting to the members of a set is much easier (as is talking about what happens). Once 'lo broda' was taken to refer to an L-set of brodas, much of the rest fell into place. Because the theory is also of the part-whole relation, it is sometimes necessary to distinguish the relevant individuals (ones with no relevant parts) and also to be able to talk about wholes (L-sets) in the abstract way that one normally talks about C-sets. This means that some of the gadri need redefinition (or clarification of the given definitions). There are also some residual problems with 'lo' left over from Loglan that need sorting out. None of this has much affect on current or past text.
3, The original four logical connectives, and their derivatives (often more interesting) and the handful of non-logical ones have multiplied sixfold or more. As the language is built, these are needed to preserve the underlying logical structure, to provide a way to get back to the underlying simple sentences connected sententially from the given complex sentence involving connected terms or predicates or bridi tails or whatever. The quest here has been to find a simpler way of marking these transformations without needing a whole new vocabulary at each stage. The fact that the reconstruction process involved is not proven to be correct also needs some looking at. This may be a minor matter of reinterpreting given forms or it may take a thorough reworking of the connective parts of the grammar.
4. RHE. Though the grammatical right-hand end problems are mainly solved (with the constant danger of misuse leading to your saying something quite different from what you meant), the logical ones are less well dealt with (the "get back to the formula" problem seen in 3). So far, informal conventions seem to be in place and there are some cmavo for doing some of these jobs. But they are rarely used and not well described. They do not form clear groups in the cmavo lists, though grouping them might not be a problem (and the fact that they are very different might be an advantage).
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John E Clifford, On 03/07/2012 17:36:
> & has been missing a while, so his ideas are not in the current files. They were iirc mainly technical and philosophic, so not (as) relevant to structural questions. (I hope this remark is inaccurate enough to get & to reenter the lists.)
Okay. So I'll address Gleki's question about "Is there any demand for LoCCan3", and also this, because Jonathan could equally well have asked the same question of me:
Jonathan Jones, On 01/07/2012 22:59:
> John, I was wondering. It seems to me that you rarely contribute
> anything to the community, and when you do, it is usually to
> criticize, to point out what you perceive to be flaws in Lojban. You
> also frequently express your opinion as to the need for a LoCCan3, as
> you put it. From my experience, it seems that you don't like Lojban.
>
> Now, I may be wrong about all of this, and I wouldn't be surprised if
> you contribute(d) a great deal that I'm unaware of. But assuming the
> above is true, and these are your feelings, why are you hear? I am
> truly curious to know why you maintain a presence in something it
> seems you not only do not care about, but apparently actively
> dislike, especially given your recent comment about being unable to
> keep a straight face in discussing Lojban.
I have for decades (more than two, not quite three, so far -- i.e. all my adult life) been very interested in the idea of there existing a certain sort of loglang and of this loglang being available to the world for use. I think it would be a boon for the world to have recourse to an ergonomically usable unambiguous language. Not everybody interested in Loglan--Lojban is interested in any sort of loglang, but it does seem as though quite a few people involved in Loglan--Lojban have been interested in a loglang, and also as though many of those interested in loglangs, especially ones with a community of sponsors, gravitate towards Loglan--Lojban.
I define a loglang as one that can unambiguously encode any explicit predicate logic formula in a way that is no less concise than the way natlangs would express the formula (with much greater ambiguity and leaving much more to be glorked from context). The relevance of the concision requirement is firstly that without it, the gain in clarity is not necessarily worth the effort of greater verbosity; rather, the goal is to up the clarity-to-verbosity ratio. And secondly, designing a language that can unambiguously encode any explicit predicate logic formula is trivially easy; it's only the concision requirement that makes the challenge difficult (or maybe impossible). Not everybody defines their sought-for loglang by these criteria. For example, John Clifford and Martin Bays are very preoccupied with having a highly specified semantics for the loglang, which is something I'm rather unsympathetic to.
Considered *as a loglang (in my definition of that term)*, Lojban is a complete failure, though it must be borne in mind that it wasn't fundamentally designed to be a loglang; the loglang aspect is more part of its (undeserved) reputation than its essence. (I should clarify that, once the BPFK does its work, which basically involves Robin wielding the political muscle and Xorxes wielding the intellectual muscle, Lojban would succeed in being logically unambiguous. The failure is to meet the (never aimed-for) criterion of concision.) (I should also note that Lojban has been a success relative to the goals of the founders of Lojban, namely to create a public-domain stable "finished" version of Loglan around which a community of users can grow.)
I'm here (on this list) partly because I've been part of the community for over 20 years, and at certain times have been the most active participant, so I feel a sense of (always marginalized) belonging. But also I'm here because I think there's a chance of a genuine loglang coupled with a community of sponsors emerging from the Loglan--Lojban community. There might come a time when enough folk that think as I do have gravitated hither that some sort of critical mass is formed and work on an ergonomically usable loglang is begun.
It's easy to think of ways of drastically improving on the Lojban design.
For example, discard rafsi
, make all gismu CCV -- becomes conciser and easier to learn in one go.
Or discard almost all selmaho, default to Polish notation syntax,
and you have something much conciser, much more easy to learn, much more easy to parse. I suppose that even these changes are so drastic that they'd amount to discarding the current Loglan--Lojban entirely and starting over, but I think a complete redesign is anyway necessary because of the one fundamental design challenge of a loglang, which is the challenge of representing where two argument-places have the same value (e.g. in "John laughed and sneezed", where the argument-place of John(), of Laugh() and of Sneeze() have the same value): specifically, the challenge is to represent that in a concise and human-usable way (bearing in mind that a normal sentence might involve dozens of groups of argument-places that have the same value). You c
ould call this loglang "LoCCan3", but, unlike John Clifford's vision, it couldn't be achieved by incremental revisions to LoCCan2.
--And.
To return to the original question, I would like a new version of Loglan/Lojban that fixed the perceived problems associated with those two languages.
I don't know what my solution would look like (well, I have a version, but it's only a relex of the gismu, so I don't normally count it).And the sooner the better.
On Saturday, July 7, 2012 12:51:13 AM UTC+4, stevo wrote:To return to the original question, I would like a new version of Loglan/Lojban that fixed the perceived problems associated with those two languages.What are the problems perceived by you?
I don't know what my solution would look like (well, I have a version, but it's only a relex of the gismu, so I don't normally count it).And the sooner the better.Who can do that if not those interested in loccan3? :)
Guys currently in San Mateo, please discuss la xorxes's proposals once again. Make connectives easier to use and learn until there we get many more lojbanists. It would be too late to fix anything then.
Guys currently in San Mateo, please discuss la xorxes's proposals once again. Make connectives easier to use and learn until there we get many more lojbanists. It would be too late to fix anything then.While it is, as of right now, ultimately the decision of Robin Powell, I will, as a member of the BPFK, will not approve the revision I think you're talking about (making jeks work the same place eks work) and will loudly voice my opinion against it. I think it's a horrible idea and removes the conciseness of the language as it stands. There's no reason to remove eks and I don't think it's that bloody difficult to learn all of the connectors.
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Would English be nearly as pervasive as it is if British, Australian, South African, and U.S. English speakers couldn't understand each other?
*Regardless* of the arguments, I'm staunchly against it precisely for the fact that people will *use* it. Regardless of whether or not *I* have to use it, *other* people will, which means that *I* have to learn to read it. Therefore, it *does* affect me, even if I *do* choose to use the original sumti connectives. Therefore, I will always veto this idea every time forever.That being said, I will gladly bring it to Robin's attention, who I presume will laugh and say, "Fuck no.", but very well may not.
I would prefer we didn't have another split, myself. We have Loglan, Lojban, Gua/Spi, Ithkuil, and possibly other much less known derivatives already. Every time someone decides to start a new lojbau, everyone suffers. And regardless of what problems your chosen lojbau is, it isn't perfect. It never will be. Dividing our efforts just makes it so that the true goal of all these languages- to be /spoken/ by /people/- will never be accomplished.
The quest for perfection is a futile one. What we have with Lojban now is good. Granted, it could be better, but that will always be true. It was true of "LoCCan1", it's true of "LoCCan2", and it will be true of "LoCCan34234234234". Starting over from scratch isn't the solution. Yes, you may be able to make a new lojbau that doesn't have the problems you perceive in "LoCCanN-1", but by making it, you create a new divide.
If we want jbogugde to exist, if we want people to speak our language- whichever one we decide on- then what we need to do is not to make a new one whenever we see problems. We need to either find an acceptable solution /within/ our language, or we need to /deal with it/.
French is the third largest language on the internet. How many people do you think would bother to learn French if every region had their own, mutually incompatible dialects? Would English be nearly as pervasive as it is if British, Australian, South African, and U.S. English speakers couldn't understand each other?
To quote a rather famous saying, "Divided we fall, united we stand". I view LoCCan3, and any other split, as the worst possible thing that could happen to us as a whole.
On Sun, Jul 8, 2012 at 12:44 PM, la .lindar. <lindar...@gmail.com> wrote:
Curious...Why not just make it already?Quit talking and just do it. >_>--To view this discussion on the web visit https://groups.google.com/d/msg/lojban/-/w5Smfyps8F8J.
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Well then, have fun with that. I'm sorry to see you go.
la gleki, On 07/07/2012 03:33:
> On Saturday, July 7, 2012 12:45:26 AM UTC+4, And Rosta wrote:
> I define a loglang as one that can unambiguously encode any explicit
> predicate logic formula in a way that is no less concise than the way
> natlangs would express the formula (with much greater ambiguity and
> leaving much more to be glorked from context). The relevance of the
> concision requirement is firstly that without it, the gain in clarity
> is not necessarily worth the effort of greater verbosity; rather, the
> goal is to up the clarity-to-verbosity ratio. And secondly, designing
> a language that can unambiguously encode any explicit predicate logic
> formula is trivially easy; it's only the concision requirement that
> makes the challenge difficult (or maybe impossible). Not everybody
> defines their sought-for loglang by these criteria. For example, John
> Clifford and Martin Bays are very preoccupied with having a highly
> specified semantics for the loglang, which is something I'm rather
> unsympathetic to.
>
> Just several hours ago I posted a short note
> <https://www.facebook.com/photo.php?fbid=236029819851609&set=a.200050570116201.43269.100003337779349&type=1&theater¬if_t=photo_comment>
> on another critique of Lojban from the side semanticophils.
I've looked at that note, and I think it misunderstands what John Q is saying. The point in the intro is about how the basic lexicon covers semantic space, i.e. how you select your inventory of basic morphemes
, whereas the point in the last chapter pertains to a kind of inventory of primitives for a metalanguage for defining meanings (i.e. a Wierzickan-type enterprise).
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If LoCCan3 is backward compatible with Lojban, then it's still Lojban, and not really LoCCan3, although maybe LoCCan2.1.LoCCan3 will be different from Lojban.
stevo
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Co-filled argument places are argument-places that have the same value, e.g. in "Fx & Gx", the sole argument places of F and of G are co-filled. Lojban avoids the verbosity of filling every place by giving speakers the option of not encoding it (and implicitly or explicitly filling the place with zo'e). I googled "categorical dual", but couldn't see any relevance to this discussion.
.arpis., On 10/07/2012 20:14:
What the heck is a "co-filled argument place" and does it have anything to do with a categorical dual?
On Tue, Jul 10, 2012 at 3:02 PM, And Rosta <and....@gmail.com <mailto:and....@gmail.com>> wrote:
la gleki, On 09/07/2012 06:08:
On Sunday, July 8, 2012 10:44:50 PM UTC+4, la .lindar. wrote:
Curious...
Why not just make it already?
Quit talking and just do it. >_>
Indeed. And Rosta, please present something.
Alas, Gleki, it is on my list of projects, but with relatively low priority on that list. Specifically, there are two relevant projects: one is an essay describing a possible solution to the core problem of loglangs (namely, representation of co-filled argument places); the other is an essay describing a modular approach to the creation of a logical language. The second is not stunningly original, but might serve to frame and focus any collaborative effort that ever emerges. As for the first, I'm not convinced the solution is processable by the human language faculty, and the problem may instead remain unsolved; I suppose publishing it might spur others to seek better solutions, but shortage of time for publishing one's projects is the bane of my life.
I could sit down and jot down in an email a sketch of something patently better as a loglang than Lojban, but the only worthwhile loglang is the one that cracks that fundamental problem of ergonomically representing co-filled argument places; without that, any other incremental improvement to Lojban has lost its appeal to me.
--And.
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Several recent messages mentioned the need for LoCCan3.I wonder is there really any demand for it?lojban.org wiki mentions nothing special.1. Fewer cmavo (but you are free to use fewer cmavo in current lojban)2. There should be new cmavo for individuals, sets and masses3. connectives4. anaphoric pronouns(sorry, I didn't understand a word in #2,3,4, can you explain it to me in plain language?).5. gismu with another number of sumti (but you are free not to use some sumti, to use sumtcita etc.)Anyway, even if so is there any need to break existing language?
Let's nameLoglan = LoCCan 1.0Lojban = LoCCan 2.0Lojban after xorlo reform = LoCCan 2.1Preliminary analysis of this topic.I can see several proposals on LoCCans including LoCCan > 2.1 and Loccan sibling projects.Let's range them from backward-incompatible to tiny Lojban improvements.(I won't analyse every proposal, though)1. Backward-incompatible And Rosta's project of CCV-gismu equal to rafsi and CCVrCCV lujvo where "r" is a buffer consonant. This lowers signal-to-noise ratio but makes learning rafsi=gismu much easier (no separate forms for gismu/rafsi). This can possibly remove the need in many modal tags that are actually duplicates and compressed versions of gismu2. Backward-incompatible stevo's proposal of syntax that is always left-grouping. This can also increase the simplicity of the language
la gleki, On 11/07/2012 08:41:
> Let's name
> Loglan = LoCCan 1.0
> Lojban = LoCCan 2.0
> Lojban after xorlo reform = LoCCan 2.1
As I understand it, Lojban was more of a fork from Loglan than an improvement of it -- essentially a Loglan relex with some other subsequent mostly gratuitous changes.
Nevertheless, your terminology is convenient.
> 1. Backward-incompatible And Rosta's project of CCV-gismu equal to
> rafsi and CCVrCCV lujvo where "r" is a buffer consonant.
[I had in mind this "r" being any consonant, not just /r/.]
This lowers
> signal-to-noise ratio but makes learning rafsi=gismu much easier (no
> separate forms for gismu/rafsi). This can possibly remove the need in
> many modal tags that are actually duplicates and compressed versions
> of gismu
I have no such project. The CCV thing was just an idea tossed out, as one of the many easy ways of improving on Lojban.
If I was asked for advice on LoCCan3, it'd be this, in the first instance:
Discard the LoCCan2 syntax, then start with predicate logic, and enrich it only with what predicate logic can't express or accommodate. Insist on the syntax being incrementally parsable with no lookahead, where parsability means recovering the logical form, not merely assigning some meaningless structure to surface phonology, as in the current so-called parser.
Apply some sort of Huffman-encoding type scheme to at least morphemes (possibly to morpheme strings). Possibly temper this by the desirability of having some sort of phonosemantic patterning among morphemes, for mnemonic purposes.
That's not be the end of my advice, but it'd be the key bits.
HOWEVER, I think that a LoCCan3 that did that would still not be good enough, and I don't see much point in investing a lot of effort into creating a language whose design is miles better than Lojban's but is still not fit for purpose. (I suppose that if future research were to show that the fundamental loglang problem is insoluble, then one would after all want the best possible LoCCan version, as the language least unfit for purpose.) To apprehend the fundamental loglang problem, imagine Lojban without {zo'e}, and then try to think how it could be redesigned to avoid being impossibly longwinded and impossibly taxing on the memory of (especially) the hearer/reader.
> And Rosta's suggests relexing gismu. Still lujvo in eir language will
> have no internal predicate structure.
Quite so. Since simplex brivla (gismu) would already have maximally short forms, complex brivla (lujvo) would be necessary only when the forms were not semantically compositional, i.e. when the meaning of the whole is not completely predictable from the meaning of the parts. The morphological translucence (semicompositionality) of lujvo would serve a merely mnemonic purpose.
> Rafybri compress some bridi preserving sumti places between two or
> more gismu. They are equivalent in meaning to some lujvo but donot
> require learning them by rot. However, ordinary lujvo retain broken
> vague ambiguous internal structure of tanru with no places. I don't
> think And Rosta's CCV suggestion is much better than rafybri (rafybri
> can be used immediately as they add new rules but donot destroy any
> old rules). But let's wait until ey presents something.
For the reasons given above, rafybri would be redundant in a well-designed loglan. Or, to put it a different way, a well designed loglan would use something akin to rafybri as its basic device.
--And.
For the reasons given above, rafybri would be redundant in a well-designed loglan. Or, to put it a different way, a well designed loglan would use something akin to rafybri as its basic device.Better to say in Loccan 2.0-2.9=Lojban then to move to Loccan >=3.0
For the reasons given above, rafybri would be redundant in a well-designed loglan. Or, to put it a different way, a well designed loglan would use something akin to rafybri as its basic device.
Better to stay in Loccan 2.0-2.9=Lojban then to move to Loccan >=3.0hunh? Maybe "stay"?
I want LoCCan 10 or 100 or higher.
stevo
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.arpis., On 12/07/2012 23:09:Can you give an example of how it would work if applied to a predicate--argument structure? I can't follow the wikipedia article enough to see how it would work (-- setting aside the memory limitation problem you mention).
The common way (speaking as a computer scientist) of avoiding variable repetition (and variable naming issues) in formal methods is to use De Bruijn indices (https://en.wikipedia.org/wiki/De_Bruijn_index), but this fails the requirement of fitting in human memory.
On Thu, Jul 12, 2012 at 2:31 PM, And Rosta <and....@gmail.com <mailto:and....@gmail.com>> wrote:
Let me try harder to explain:
Take a variety of predicate logic consisting of predicates, quantifiers and variables. In normal predicate logic notation, if a given variable is an argument of more than one predicate, it gets repeated. And every bound variable is notated at least twice, once where it is shown bound by quantifier and once where it is argument of a predicate. But this is one and the same variable; the repetition is a mere notational device necessary to linearize the string.
If the notation could be two dimensional, then you wouldn't need to write variables at all. For simplicity's sake, I'll describe a notation for only predicates and variables:
Use a 2 dimensional grid, infinite in both dimensions.
Each 'row' corresponds to a variable.
Each 'column' corresponds to a predicate.
Predicates are notated by sets of symbols, one symbol for each argument place. Each argument place symbol is placed on the appropriate row for the variable that fills the argument place.
That's the basic data structure for predicate--argument structure. A 2-dimensional notation can notate it without redundancy. But spoken language is 1-dimensional. Is there a way of linearizing predicate-argument structure ergonomically, in such a way that it is not so verbose or so taxing on the memory that the advantages of its logical explicitness and unambiguousness are not outweighed?
--And.
John E Clifford, On 12/07/2012 17:17:
As far as I can figure from the limited information, &'s language differs from Logjam in two significant respects.
1. Instead of a predicate with various arguments dripping from it, the core utterance is an argument (topic, say) with dangling predicates (comments -- not the standard usage quite but Logjam is not famous for following precedents in terminology). This is a feasible structure, easily realized in two (and simply in three) dimensions, without anaphora. The case of existential graphs and general topological considerations, however, suggest that anaphora will be needed in one-dimensional speech. The usual problems with that are simplified by the canonical location of topics. Multiple topics increase the complexity of this but not its basic simplicity. Comments come and go (naturally) while topics run on and on (and so are always available for connection).
2. Comments have no inherent places, which need to be filled implicitly when not explicitly, but have only those which are explicitly filled. This means, apparently, that the nature of the connection of a comment to its topic has to be specified in (almost) every case, an added nuisance in speech but probably a simplification in learning (and possible a reduction in the need for compounds, many of which are just to add a place to an existing predicate or rearrange those places). The bareness of comments means that comment words can be raised to topics directly to do business as properties or events, without a lot of extra detail.
These points are too sketchy to give any notion of the relative size, ease or clarity of an &lang as here conceived, but at least it looks feasible so far.
**
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mu'o mi'e .arpis.
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la gleki, On 11/07/2012 08:41:
> Let's name
> Loglan = LoCCan 1.0
> Lojban = LoCCan 2.0
> Lojban after xorlo reform = LoCCan 2.1
As I understand it, Lojban was more of a fork from Loglan than an improvement of it -- essentially a Loglan relex with some other subsequent mostly gratuitous changes.
Nevertheless, your terminology is convenient.
> 1. Backward-incompatible And Rosta's project of CCV-gismu equal to
> rafsi and CCVrCCV lujvo where "r" is a buffer consonant.
[I had in mind this "r" being any consonant, not just /r/.]
This lowers
> signal-to-noise ratio but makes learning rafsi=gismu much easier (no
> separate forms for gismu/rafsi). This can possibly remove the need in
> many modal tags that are actually duplicates and compressed versions
> of gismu
I have no such project. The CCV thing was just an idea tossed out, as one of the many easy ways of improving on Lojban.
If I was asked for advice on LoCCan3, it'd be this, in the first instance:
Discard the LoCCan2 syntax, then start with predicate logic, and enrich it only with what predicate logic can't express or accommodate. Insist on the syntax being incrementally parsable with no lookahead, where parsability means recovering the logical form, not merely assigning some meaningless structure to surface phonology, as in the current so-called parser.
.arpis., On 13/07/2012 00:59:An example (without wanting to be distracted by irrelevant details):
I'm not sure I understand the predicate-argument structure well
enough to do so. Could you give an example of how it would look with
normal variables and explain the meaning of the example?
"Da djuno lo du'u de prami da gi'e de nelci da"
djuno(da, &(prami(de, da), nelci(de, da)))
Task 1: notate this (linearly) so that "da" and "de" each appear only once.
And then:
Task 2: Improve the system so that speakers don't have to hold in memory the arbitrary correspondence between variable & phonological form.
Will De Bruijn indices deal with Task 1? If they do, I'd be thrilled to have learnt summat new.
--And.
The common way (speaking as a computer scientist) of avoiding variable repetition (and variable naming issues) in formal methods is to use De Bruijn indices (https://en.wikipedia.org/ wiki/De_Bruijn_index <https://en.wikipedia.org/wiki/De_Bruijn_index>), but this fails the requirement of fitting in human memory.
On Thu, Jul 12, 2012 at 6:44 PM, And Rosta <and....@gmail.com <mailto:and....@gmail.com>> wrote:
.arpis., On 12/07/2012 23:09:
Can you give an example of how it would work if applied to a predicate--argument structure? I can't follow the wikipedia article enough to see how it would work (-- setting aside the memory limitation problem you mention).
On Thu, Jul 12, 2012 at 2:31 PM, And Rosta <and....@gmail.com <mailto:and....@gmail.com> <mailto:and....@gmail.com <mailto:and....@gmail.com>>> wrote:
Let me try harder to explain:
Take a variety of predicate logic consisting of predicates, quantifiers and variables. In normal predicate logic notation, if a given variable is an argument of more than one predicate, it gets repeated. And every bound variable is notated at least twice, once where it is shown bound by quantifier and once where it is argument of a predicate. But this is one and the same variable; the repetition is a mere notational device necessary to linearize the string.
If the notation could be two dimensional, then you wouldn't need to write variables at all. For simplicity's sake, I'll describe a notation for only predicates and variables:
Use a 2 dimensional grid, infinite in both dimensions.
Each 'row' corresponds to a variable.
Each 'column' corresponds to a predicate.
Predicates are notated by sets of symbols, one symbol for each argument place. Each argument place symbol is placed on the appropriate row for the variable that fills the argument place.
That's the basic data structure for predicate--argument structure. A 2-dimensional notation can notate it without redundancy. But spoken language is 1-dimensional. Is there a way of linearizing predicate-argument structure ergonomically, in such a way that it is not so verbose or so taxing on the memory that the advantages of its logical explicitness and unambiguousness are not outweighed?
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Either I've misunderstood your response, or you've misunderstood the challenge. The challenge is that the same bound variable need never be repeated. Sure for any given single sentence containing n different variables you can define an equivalent single predicate with n arguments, but you can't do this for each of the infinitely many sentences in a language.
Thanks for taking the trouble to make the suggestions, but I don't have the requisite intellectual skills to scan outlines of those areas in the hope of descrying a notation that doesn't require variable repetition. If you think one of them provides a notation that doesn't require variable repetition, it would be very precious to meif you were to explain it to me.
Other things you may want to look at: combinatory logic,
concatenative programming (or stack-based programming), point-free
style (or tacit programming), and the J programming language.
--and.
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