[FOM] A confession
T.Forster at dpmms.cam.ac.uk
T.Forster at dpmms.cam.ac.uk
Tue Sep 3 17:41:01 EDT 2013
Colin,
You have presumably received from me an email about the possibility of
finding a different way to turn the world of sets into a category. Various
kind people have pointed out that your proof that the world of NF sets is
not cartesian-closed puts severe difficulties in the path of any such
project. It seems that all you need is that NF has a universal set.
**Does this mean that the same result holds for positive set theory?**
And an apology. Having established by my own methods that the sets of NF
were not cartesian closed i never troubled to work through your proof.
That's the trouble with thinking you know everything! I think my proof
is useful all the same, since it works for KF as well (indeed for any set
theory in which the singleton function is not reliably a set, locally)
Elaine Landry has kindly supplied me with a pdf of your paper (tho' i now
realise i had a copy on my laptop all the time!!!) So i can get stuck in.
I would glad to hear any thoughts you have on this matter..
v best wishes
tf
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