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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