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For the last century, measurements of magnetic moments have paved the
way to a deeper understanding of physics at the most elementary level.
This talk will review the rich historical interplay between experiment
and theory in the context of ever-increasing precision, the fortuitous
physics facts that enable a modern generation of muon g-2 experiments,
the implication current results have for potential physics discoveries
at the Tevatron and LHC, and the prospects for mounting a next generation
muon g-2 experiment at Fermilab. The talk will also highlight some of
the critical contributions coming from Frascati program.