[FOM] CH and platonism

[martdowd at aol.com]

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

 



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