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Re: [engelang] reformulating the core grammar



Oh, another addition:  Wht is to be done with variable that are still free at the stage of utterance (presumably always a sentence)?  Bind them informally?  Assign then relevant designations?  ...



From: John E Clifford <kali9putra@hidden.email>
To: "engelang@yahoogroups.com" <engelang@yahoogroups.com>
Sent: Thursday, October 4, 2012 3:02 PM
Subject: Re: [engelang] reformulating the core grammar

 



From: Mike S. <maikxlx@gmail.com>
To: engelang@yahoogroups.com
Sent: Thursday, October 4, 2012 2:12 PM
Subject: Re: [engelang] reformulating the core grammar

 

On Thu, Oct 4, 2012 at 2:23 PM, John E Clifford <kali9putra@hidden.email> wrote:

From: Mike S. <maikxlx@gmail.com>

Word classes, each phonologically distinct, though their forms are not decided.
    predicates (each of fixed adicity, though this important feature is not, apparently, to be marked)

It's marked by the number of variables that appear, no?

Well, not necessarily, although we would have to have rules for dealing with excess or deficit.  The point is that if we simply take the number that appear as the correct number, there is no necessary connection then with the dictionary specification.  We can do this by referring to the dictionary for each case, of course, but an overt marker would be shorter processing.

And's idea is that every underlying predicate has a required adicity that has to be filled explicitly by variables, and that every distinct phonological stem + adicy combination represents exactly one of these underlying predicates.  In practice, simple formulas with the same stem but different adicities would be families of related predicates that would (often at least) be no different than assuming elided "o'e" in the outer places.

This idea has some history, of course, and might be worked out.  The problem with well-formedness (a purely syntactical notion. really) still remains.  Of course, overt adicity markers would fit in nicely with &'s scheme.

Be that as it may, no one TTBOMK has an comprehensive plan for predicate design at the current time so that's all hypothetical right now.

One idea that has not been floated would yet be reversing the conventional order of arguments; in other words, the rightmost variable would be the x1, and x2 would be the next leftward one, etc.  It would make some sense in this language which tends to be strongly head-final to make the most salient argument (x1) final.  e.g.

la mlta vska = The cat sees [something]
la mlta le grke vskeka = The cat sees the dog

Any takers?

That just seems to be adding to confusion.  We are so used to left-to-right readings that we will take the first one as x1, even if the subject turns out to be x3 or so.

    names  (any phonemic string enclosed in audible quotes.  these are ranked with predicates and are either monadic -- in which case no naming operator is needed -- or medadic --   in which case, they enter formula only as complements to the naming operator)
The "mV {formula}" naming convention provides a place for a required variable immediately after the m.  Therefore I think that we have to call it a monad.

You seem to be separating m (or whatever the realization will be) from the quotation predicates (names).  I still don't understand how m is supposed to work.

Does this help?  q{formula}qa <=> ma {formula}

That is pretty much what I was getting at, except that I didn't think that what was in the quotes had to be a formula.

                     a predicate maker followed by a variable followed by a formula  (in the case of naming, followed by a name) (variable remains bound or free as before)
                     a binary propositional connective followed by two formulas (binding and freedom remain unchanged)
                     a quantifier followed by a variable followed by two formulas (free occurrences of the indicated variable in the complements are now bound by this quantifier, as is the indicated variable, otherwise bondage and freedom are unchanged.  Well, the situation of bound occurrences of the indicated variable in the complements is up for discussion)

IMHO: A quantifier does not affect already bound variables under its scope. In other words, inner bindings take precedence over outer ones.

I agree, but the discussion of binding is either incomplete or in flux so that other approaches might be used (l overriding internal s, for example).

O, that way madness lies.  Luckily, no one has suggested we go that way.  I really hope that no one will.

Well, something strange at least.  I should add the restri9ction on quantifiers that at least the first formula complement whoudl contain  a free occurrence of the indicated variable (lacking that doesn't lead to madness, necessarily -- we could always throw in a je smV , say -- but certainly a lack of clarity).


                     a speech act indicator followed by a formula (binding and freedom unchanged) this is also called a sentence.
                     any of the above with  interjections before, between or after mentioned components (not between predicate makers or quantifiers and their variables).

I haven't touched on termsets because a) I am not through absorbing the going model and comparing it with my sketches and 2) I think any static description is bound to be inadequate and/or misleading, while only logic to language transformations will cover the possibilities (the lack of these in Lojban is yet another reason why the Lojban to logic translations are so non-trivial, if not non-existent).


The "term tree" proposals still up in the air enable straightforward rewritings of the logical forms that we already have, extracting an otherwise repeated (possibly long) predication from one or more clauses and applying it distributively once.  They're syntactic sugar, nothing more.


But an essential bit of sugar for a successful language.  The need to say everything over and over is a major flaw in logical systems for use as languages.  That is, we need to have them but exactly how to express them and how to build the rules for constructing them is a trickier matter.  MY notes are simple but incomplete and getting prolix, your appear less prolix but much more complex -- I haven't worked on completeness yet.

I see you scrapped your conjoined variables in your idea.  I was going to mention, while you had them, that if we really needed to do so, we could assign some C for conjoining.  Then the apostrophe could go about its own business of forming discrete variables.

Yes, superimposition is much tidier and shorter and seems to work as well, so far.  But I have only been messing with l; whether r and s (as they are now) will be as amenable is not quite so clear (they ought to be, but sad experience has taught me not to trust my intuitions on these things very far).

--
co ma'a mke

Xorban blog: Xorban.wordpress.com
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