Re: Why an inconsistent ZF may be desirable, and should be welcome.
From: george (greeneg_at_cs.unc.edu)
Date: 03/17/05
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Date: 16 Mar 2005 17:26:07 -0800
Bhupinder Singh Anand wrote:
> On Mar 14, 12:31 am, Ross A. Finlayson wrote:
>
> RAF>> ... what do you mean that ZF is inconsistent?
>
> Ross
> ===
> Thanks for your comments. What I have meta-argued is that PA+PRA is
> inconsistent,
How can you expect to be taken seriously?
PA + PRA == PA, because PA is nothing but PRA + the induction schema.
And PA is obviously consistent because there is a proof that N is a
model
for it.
> and, since both can be interpreted in ZF, ergo ZF, too,
> is inconsistent.
Both can also be interpreted in N.
Are you now going to argue that the natural numbers don't exist?
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