[FOM] RE: FOM Continuum Hypothesis

[William Tait]

On Sunday, May 18, 2003, at 02:09  PM, Matt Insall wrote:

> Thanks to Bill Tait for reminding me that I should have put ``n>1'',
> instead of ``n>0''.  He also points out that my statement about this 
> axiom
> allowing for ``many more'' cardinals needs to be made more precise, 
> since
> inside any model of set theory - including those which fail to satisfy 
> CH -
> one may find a constructible universe, and it will have the same 
> cardinals
> as
> the original model.

I hope I'm not being too defensive, but I just want to note that what I 
said was that every cardinal in the original model is a cardinal in the 
inner model of constructible sets.

Best regards,

Bill Tait