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Re: [lojban] Individuals and xorlo





Le mardi 18 février 2014 07:41:04 UTC+9, xorxes a écrit :


On Mon, Feb 17, 2014 at 9:24 AM, guskant <gusni...@gmail.com> wrote:

For example, we may count {lo rokci} by its spatial detachment from environment, by its weight, by its spatial volume, by its radioactivity etc.
 
I don't know, that sounds more like "merli" than "kancu". I think "kancu" must always use integers. If "kancu" was so wide open, we could have used "klani" rather than "zilkancu" to define the inner quantifiers.
  
Even a non-atomist can count {lo rokci} by one-some in some sense: when {lo rokci} is counted by one becquerel, a non-atomist considers that a half of {lo rokci} is also {me lo rokci}, that {lo rokci} is not an individual, and that {lo panono rokci} is still meaningful.

It may be difficult to define what a one-some is without individuals. One way of defining the "PA mei" predicates goes something like this:

Start with "ro'oi da su'o [pa] mei". 

Then define "su'o N mei" in terms of "su'o N-1 mei" as

ko'a su'o N mei := su'oi da poi me ko'a ku'o su'oi de poi me ko'a zo'u  ge da su'o N-1 mei gi de na me da   

And then define "N mei" as:

ko'a N mei  := ko'a su'o N mei gi'e nai su'o N+1 mei 

I'm not sure if that requires atomicity or not, since all the quantifiers used are plural.

The definition for "lo PA broda" then doesn't require "zilkancu":

lo PA broda := zo'e noi ke'a PA mei gi'e broda




I prefer that definition to the current one because the system of counting is clearer than {zilkancu}, though atomicity is still not required for {PA mei}.

If we really need atomicity for {lo PA broda}, we could add a condition of individual for {lo pa broda}:
{lo pa broda} =ca'e {zo'e noi ro'oi da poi ke'a xi pa me ke'a xi re zo'u ke'a xi re me da gi'e broda}

However, I think atomicity is not necessary for a definition of inner quantifier. 
 

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