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Date: Wed, 6 Mar 2002 14:52:26 EST
Subject: Re: [lojban] Re: [jboske] Quantifiers, Existential Import
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In a message dated 3/6/2002 1:29:00 PM Central Standard Time, 
jjllambias@hotmail.com writes:


> The same reasoning applies to O-: Plainly no set P can have
> an intersection with 0 that is different from 0, so we can
> deduce that S /= 0 and to assert anything useful we need O+.
> 
> (I don't buy this argument, it is possible to give information
> both with I- and with O-, it is just that this presentation
> with sets already requires I+ and O+, and the same happens
> in Lojban when {su'o} is defined as "at least one".)
> 

O- is "SP/=S OR S=0". Again the two parts are mutually exclusive, so you get 
that some number (from 0 up) Ss are non-Ps, so this is as uniformative about 
non-Ps as I- is about Ps -- as it should be. 
So, these guys are not likely to have a lot of use and we might want to allow 
that {su'o da} is as importing as {su'o broda}, saving the weird forms for 
the weird cases (equally in either format). 

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<HTML><FONT FACE=arial,helvetica><BODY BGCOLOR="#ffffff"><FONT style="BACKGROUND-COLOR: #ffffff" SIZE=2>In a message dated 3/6/2002 1:29:00 PM Central Standard Time, jjllambias@hotmail.com writes:<BR>
<BR>
<BR>
<BLOCKQUOTE TYPE=CITE style="BORDER-LEFT: #0000ff 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px; PADDING-LEFT: 5px">The same reasoning applies to O-: Plainly no set P can have<BR>
an intersection with 0 that is different from 0, so we can<BR>
deduce that S /= 0 and to assert anything useful we need O+.<BR>
<BR>
(I don't buy this argument, it is possible to give information<BR>
both with I- and with O-, it is just that this presentation<BR>
with sets already requires I+ and O+, and the same happens<BR>
in Lojban when {su'o} is defined as "at least one".)<BR>
</BLOCKQUOTE><BR>
<BR>
O- is "SP/=S OR S=0".&nbsp; Again the two parts are mutually exclusive, so you get that some number (from 0 up) Ss are non-Ps, so this is as uniformative about non-Ps as I- is about Ps -- as it should be.&nbsp; <BR>
So, these guys are not likely to have a lot of use and we might want to allow that {su'o da} is as importing as {su'o broda}, saving the weird forms for the weird cases (equally in either format).&nbsp; </FONT></HTML>

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