[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
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>>
>>
>>
>>     
>
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