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Jan 23, 2014 at 19:27 vote accept CommunityBot
Jan 23, 2014 at 14:19 comment added Joel David Hamkins @Mohammad, I think your remark about "most set theorists" may be over-stated, since I think a more common view is that the situation is basically unsettled.
Jan 23, 2014 at 10:57 comment added user45878 Godel in his paper "What is Cantor's Continuum Problem?" suggests this one: $2^{\aleph_0}=\text{The least weakly inaccessible cardinal}$. We know the size of continuum could be even larger such as a real valued measurable cardinal.
Jan 23, 2014 at 8:45 comment added Mohammad Golshani Dear Jitra, I think most set theorists beleive in $2^{\aleph_0}=\aleph_2.$ I strongly suggest the following paper "Rectangular axioms, perfect set properties and decomposition". The paper is based on some attempts of Godel.
Jan 23, 2014 at 7:14 comment added user45878 Thank you very much Mohammad. Your answer is very useful.
Jan 23, 2014 at 7:02 history answered Mohammad Golshani CC BY-SA 3.0