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The experiment described in this Letter of Intent provides a decisive measurement of {Delta}s, the spin of the nucleon carried by strange quarks. This is crucial as, after more than thirty years of study, the spin contribution of strange quarks to the nucleon is still not understood. The interpretation of {Delta}s measurements from inclusive Deep Inelastic Scattering (DIS) experiments using charged leptons suffers from two questionable techniques; an assumption of SU(3)-flavor symmetry, and an extrapolation into unmeasured kinematic regions, both of which provide ample room for uncertain theoretical errors in the results. The results of recent semi-inclusive DIS data from HERMES paint a somewhat different picture of the contribution of strange quarks to the nucleon spin than do the inclusive results, but since HERMES does not make use of either of the above-mentioned techniques, then the results are somewhat incomparable. What is required is a measurement directly probing the spin contribution of the strange quarks in the nucleon. Neutrino experiments provide a theoretically clean and robust method of determining {Delta}s by comparing the neutral current interaction, which is isoscalar plus isovector, to the charged current interaction, which is strictly isovector. A past experiment, E734, performed at Brookhaven National Laboratory, has pioneered this effort. Building on what they have learned, we present an experiment which achieves a measurement to {+-} 0.025 using neutrino scattering, and {+-} 0.04 using anti-neutrino scattering, significantly better than past measurements. The combination of the neutrino and anti-neutrino data, when combined with the results of the parity-violating electron-nucleon scattering data, will produce the most significant result for {Delta}s. This experiment can also measure neutrino cross sections in the energy range required for accelerator-based precision oscillation measurements. Accurate measurements of cross sections have been identified as a priority of the neutrino community, as determined through the APS Multidisciplinary Study on the Future of Neutrino Physics. From the APS report, the Neutrino Matrix makes its recommendations in context of several assumptions regarding the neutrino program, including: ''Determination of the neutrino reaction and production cross sections required for a precise understanding of neutrino oscillation physics and the neutrino astronomy of astrophysical and cosmological sources. Our broad and exacting program of neutrino physics is built upon precise knowledge of how neutrinos interact with matter''. The experiment described here will provide unique information on cross sections of {approx}1 GeV neutrinos, in precisely the range explored by present and future long baseline oscillation programs. Fermi National Accelerator Laboratory is the natural place to perform this experiment. The physics goals proposed here grow the existing program and are necessary ingredients for the next generation oscillation physics measurements in this same energy range. This is a small, cost-effective, and timely experiment which fits well with the growing neutrino program at Fermilab

A letter of intent for a neutrino scattering experiment on the booster neutrino meanline: FINeSSE