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Re: [lojban] non-ka properties



And mine is, what function (if any) is the ka-kau?  All of the usual functions around this area seem to have specific expressions, so is this another way of saying one (or another) of these (and, if so, which) or is this a new function (some new functions) altogether?



From: Ian Johnson <blindbravado@gmail.com>
To: lojban@googlegroups.com
Sent: Wed, June 22, 2011 3:34:22 PM
Subject: Re: [lojban] non-ka properties

Perhaps the underlying issue is that we're trying to do too much with just {ka}? (Then again, this could be my tendency to statically type Lojban screwing things up again.)

mu'o mi'e latros

2011/6/22 Felipe Gonçalves Assis <felipeg.assis@gmail.com>
2011/6/22 Felipe Gonçalves Assis <felipeg.assis@gmail.com>:
> 2011/6/21 Jorge Llambías <jjllambias@gmail.com>:
>> 2011/6/20 Felipe Gonçalves Assis <felipeg.assis@gmail.com>:
>>>
>>> From the gimste, I would describe a se cipra as a pure ka, non-kau,
>>> property.
>>
>> I consider a ka-kau a pure property, just not fully specified.
>>
>
> I consider a pure-ka a predicate with a variable argument, and a
> ka-kau a function. At least, this is what I was asking for in my first
> message. Perhaps you mean that the {kau} thing means "whatever
> fits here"?
>

By the way, this is my main point of investigation. Some bridi appear
to require a function in a specific place, others appear to ask for a
predicate with a free argument.

For example, in {zmadu}, it makes the most sense that the x3 should be
a function with an ordered set as a codomain. In {mutce}, it makes the
most sense that the x2 should be a function for whose codomain there
is a notion of extremeness. Similarly for {mleca}, {traji}, {jibni}, etc.

In these cases, a pure-ka could be understood as a shorthand for a
kamakaujei.

On the other hand, the x2 of {ckaji}, {cipra}, {sisku} and {simlu} is
clearly just a predicate with a free argument.

Stating a {ckaji} is just an indirect way to state the bridi obtained
by applying the predicate to the x1.

In a {cipra} you test how the predicate is true after substituting the x3.

In a {sisku} you search the set x3 for an element that makes the
predicate true, which certainly involves one or more {cipra}.

Finally, a {simlu} is just the subjective version of {ckaji}.

In all these cases. I can make no sense of the bridi when the x2 is
a function. All the interpretations of a ka-kau there hereon given
appear to be in a direction contrary to ka-kau expressing a function.


I hope I could make my point clear now.

mu'o
mi'e .asiz.

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