[FOM] Does 2^{\aleph_0} = 2^{\aleph_1}?

John Baldwin jbaldwin at uic.edu
Wed Oct 24 11:41:11 EDT 2007

It was suggested at a logic dinner this evening that many combinatorial 
set theorists, especially those interested in cardinal invariants in the 
continuum `believed' that  2^{\aleph_0} = 2^{\aleph_1}.

Do people working in these areas have definite views about the `real' size 
of the 
continuum or are they using various forcing techniques to explore 

Another way to put is,  does the program for investigating cardinal 
invariants of the continuum envision that this clarifies the `truth' of 
the continuum hypothesis?

John T. Baldwin
Director, Office of Mathematics Education
Department of Mathematics, Statistics, 
and Computer Science  M/C 249
jbaldwin at uic.edu
Room 327 Science and Engineering Offices (SEO)
851 S. Morgan
Chicago, IL 60607

Assistant to the director
Jan Nekola: 312-413-3750

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