Re: What isn't a tautology?



On 18 Jul 2005 15:11:54 -0700, Michael De <mikejde@xxxxxxxxx> said:
>> Unless you redefine "valid", in which case you are just changing the
>> subject, the schema in question is invalid.
>
> Nobody denied that. But a proviso can still make an invalid schema
> valid without changing the definition of 'valid' (unless you call
> allowing the empty domain in interpretations a redefinition of
> validity).

It is most definitely a redefinition of validity. You have altered the
class of models relative to which validity is defined and, even more to
the point, you've defined an *extensionally* different notion.

I take it this is not the "proviso" you had in mind for rendering the
schema in question valid, though.

.



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