Re: free variables in FOL



On 17 Jun 2005 10:36:40 -0700, Ken Quirici <kquirici@xxxxxxxxx> said:
> ... howcum Mathworld has these rules of inference:
>
> if G=>F(x)
> then G=>AxF(x)
>
> if F(x)=>G
> then ExF(x)=>G
>
> with Ex in the second?

Because they are both logically valid (assuming "x" does not occur free
in G and a semantics on which free variables are implicitly universally
quantified).

.


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