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Following a brief reminder of how the pairing model can be solved exactly, wedescribe how this can be used to address two interesting issues in nuclearstructure physics. One concerns the mechanism for realizing superconductivityin finite nuclei and the other concerns the role of the nucleon Pauli principlein producing $sd$ dominance in interacting boson models of nuclei.Comment: Invited talk to the Conference "Symmetry in Physics" in honor of F.  Iachello. Erice, March 23-30, 200

SOME NEW PERSPECTIVES ON PAIRING IN NUCLEI