Quantum cosmology and eternal inflation

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This contribution consists of two parts. In the first part, I review the tunneling approach to quantum cosmology and comment on the alternative approaches. In the second part, I discuss the relation between quantum cosmology and eternal inflation. In particular, I discuss whether or not we need quantum cosmology in the light of eternal inflation, and whether or not quantum cosmology makes any testable predictions.
To appear in "The Future of Theoretical Physics and Cosmology", proceedings of the conference in honor of Stephen Hawking's 60'th birthday

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