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arxiv: math/0611740 · v1 · pith:VRGK7I56new · submitted 2006-11-23 · 🧮 math.HO

The Halting Probability Omega: Irreducible Complexity in Pure Mathematics

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keywords complexitymathematicswhetheralgorithmicbitscentenarydifferentlydone
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Some Goedel centenary reflections on whether incompleteness is really serious, and whether mathematics should be done somewhat differently, based on using algorithmic complexity measured in bits of information. [Enriques lecture given Monday, October 30, 2006, at the University of Milan.]

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