[FOM] CH and platonism

martdowd at aol.com martdowd at aol.com
Sat Oct 29 20:51:20 EDT 2016

Arnon Avron writes:

Already the identity of PN is not absolute, and depends 
on the identity of the universe of sets, to say nothing 
about PPN. So although formally there is a difference between
third-degree platonism and stronger forms of platonism,
I do not see the essential big difference. 


 In this connection, there is a small integer k such that each of the statements
  1. there is a surjection from aleph_1 to P(omega)                             
  2. there is an injection from aleph_2 to P(omega)                             
can be written in such a way that either is true in V iff it is true in V_{omega+k}.

Martin Dowd


-------------- next part --------------
An HTML attachment was scrubbed...
URL: </pipermail/fom/attachments/20161029/86052fec/attachment.html>

More information about the FOM mailing list