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Re: [ontolog-forum] Current Semantic Web Layer pizza (was ckae)

To: "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Duane Nickull <dnickull@xxxxxxxxx>
Date: Thu, 06 Sep 2007 08:55:50 -0700
Message-id: <C3057116.6663%dnickull@xxxxxxxxx>
My take is that "none" was the opposite of "all"    (01)

"All" and "not 100%" are merely disjoint.    (02)

D    (03)


On 9/6/07 2:00 AM, "Wacek Kusnierczyk"
<Waclaw.Marcin.Kusnierczyk@xxxxxxxxxxx> wrote:    (04)

> Ed Barkmeyer wrote:
>> First rule: when discoursing with logicians remember that "all"
>> and "always" are reserved words.  ;-)  In logic, "not 100%" is
>> the *opposite* of "all".  A single counterexample is a disproof.
>>   
> Second rule: 'opposite' is a bit vague, avoid using it unless you're its
> meaning is clear.
> 'opposite to all' might mean:
> - not all (a contradiction)
> - none (a contrary)
> 
> as in:
> All X are Y is contradiction to Some X are not Y
> All X are Y is contrary to No X are Y
> 
> see 'square of opposition' in a dictionary of philosophy, or the like.
> 
> (interestingly, contraries can both be false, but of two contradicting
> statements, one must be false and the other true.)
> 
> vQ
> 
>  
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