[Om] logic1 CD revision?
Jacques Carette
carette at mcmaster.ca
Thu Aug 17 14:43:25 CEST 2006
"the" logic??? Do you know how many two-valued boolean logics there are?
You might mean "classical two-valued, first-order Boolean propositional
logic".
And while I am looking at it:
1) doesn't anyone see anything wrong with the FMP for 'equivalent'? It
seems to use a circular definition.
2) the FMP (and CMP) for 'not' does not characterize 'not' as this FMP
is also satisfied by the identity. The informal description is actually
a better 'definition'.
3) in the same vein, the FMP for 'or', 'and' are not sufficient to
uniquely define them either, as well as all being consequences of
excluded-middle. So _all_ the FMPs in this CD turn out to be
restatements of excluded-middle!
4) those FMPs use the forall quantifier, which is defined in quant1
which depends on logic1.
Jacques
W Naylor wrote:
> Clare is of course correct here. Would it be sufficient to change the top
> level Description element to say:
>
> This CD defines the operations of the two valued Boolean logic.
>
> Bill
>
> On Tue, 15 Aug 2006, Clare So wrote:
>
>
>> Dear OpenMathers,
>>
>> I would like to suggest that logic1 CD may need a revision. The description
>> of it does not say whether the functions are for two-value logic or not. In
>> some systems, three-value logic is used. It would be better if we state the
>> meanings of each OMS as explicit as possible.
>>
>> Clare
>> _______________________________________________
>> Om mailing list
>> Om at openmath.org
>> http://openmath.org/mailman/listinfo/om
>>
>>
>>
>>
>>
>
> -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
> -
> - Dr. W.A. Naylor
> -
> - http://www.cs.bath.ac.uk/~wn
> - http://orcca.on.ca/~bill
> -
> - work tel: +44 1225 386183
> -
> -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*
>
> _______________________________________________
> Om mailing list
> Om at openmath.org
> http://openmath.org/mailman/listinfo/om
>
More information about the Om
mailing list