The theoretical motivation for and a possible experimental approach to higher precision measurement of the muon g−2 value are discussed. The goal is to measure a=(g−2)/2 to a precision of 0.3 ppm, which would be an improvement by a factor of 20 over the present value from a CERN experiment. The approach would involve a superconducting muon storage ring and would utilize the very high primary proton beam intensity now available at the Brookhaven National Laboratory AGS.

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