[FOM] About Paradox Theory
Rob Arthan
rda at lemma-one.com
Sun Sep 18 18:27:03 EDT 2011
On 17 Sep 2011, at 16:05, hdeutsch at ilstu.edu wrote:
>
> Here is the argument concerning the "paradox of grounded classes" to save people from having to look it up:
>
> The following argument is first-order valid:
>
> AyEzAx(F(xz) <--> x=y). Therefore,
>
> -EwAx(F(xw) <--> Au([F(xu) --> Ey(F(yu) & -Ez{F(zu) & F(zy)])]).
I think something has gone missing in your transcription here: AyEzAx(F(xz) <--> x=y) is not true for every interpretation of F (e.g., if F is identically false).
Regards,
Rob.
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