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MR1793895 (2002c:03069) 03D35 (03D10 03E35 68Q05 68Q30)
Solovay, Robert M. A version of $\Omega$ for which ZFC cannot predict a single bit. Finite versus infinite, 323--334, Discrete Math. Theor. Comput. Sci. (Lond.), Springer, London, 2000.
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