Axiom of determinacy: Difference between revisions

 

Assuming AD, \(\aleph_1\) and \(\aleph_2\) are [[Measurable cardinal|measurable]], \(\aleph_n\) is singular for all \(2<n<\omega\), and \(\aleph_{\omega+1}\) is measurable.<ref>T. Jech, "About the Axiom of Choice". In ''Handbook of Mathematical Logic'', Studies in Logic and the Foundations of mathematical vol. 90, ed. J. Barwise (1977)</ref>^{p. 369}