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Topic: Few questions on forcing, large cardinals
Replies: 17   Last Post: Mar 30, 2013 1:21 PM

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ross.finlayson@gmail.com

Posts: 1,216
Registered: 2/15/09
Few questions on forcing, large cardinals
Posted: Mar 10, 2013 8:47 PM
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So isn't forcing simply Dirichlet box / pigeonhole principle? Without
appeal to forcing, simply define arguments in symmetry then as to
transfinite pigeonhole, what's the difference?

How can large cardinals be defined in terms of V (the Universe) when V
isn't a set? How are they cardinals if they aren't of sets?

How can forcing's model be at once model and embedded in the model?
Wouldn't it then be irregular?

Are there any results in recursion/computation that can't simply (or
not so simply) be framed in asymptotics without appeal to transfinite
cardinals?

Are there any results not of transfinite cardinals, solely due
transfinite cardinals?

Thanks,

Ross Finlayson



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