Is Independence an Exception? 1

نویسنده

  • M. Zimand
چکیده

GG odel's Incompleteness Theorem asserts that any suuciently rich, sound, and recursively axiomatizable theory is incomplete. We show that, in a quite general topological sense, incompleteness is a rather common phenomenon: With respect to any reasonable topology the set of true and unprov-able statements of such a theory is dense and in many cases even co-rare.

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تاریخ انتشار 1994