ForanyirreduciblecomplexprojectivevarietyA,weprovethatinthenonstandardex-tension~*AofAinapolysaturatedmodel,thesetofpointswhicharenotgenericpointsofAhasLoebmeasurezero.ThisissimilartotheSardtheoremassertingthatthecriticalvaluesofasmoothmaphaveLebesguemeasurezero.