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We suggest to test the premise of ``macroscopic local realism'' which issufficient to derive Bell inequalities when measurements of photon number areonly accurate to an uncertainty of order $n$ photons, where $n$ is macroscopic.Macroscopic local realism is only sufficient to imply, in the context of theoriginal Einstein-Podolsky-Rosen argument, fuzzy ``elements of reality'' whichhave a macroscopic indeterminacy. We show therefore how the violation of localrealism in the presence of macroscopic uncertainties implies the failure of``macroscopic local realism''. Quantum states violating this macroscopic localrealism are presented.Comment: 28 pages, 5 figures- new version is unchanged but tightened-20 pages,  5 figure

Violations of Bell inequalities for measurements with macroscopic uncertainties: What it means to violate macroscopic local realism