The law of identity shouldn't apply to NaN because it isn't a single value. NaN represents a set of values that get mapped to NaN. But information is lost along

The law of identity shouldn't apply to NaN because it isn't a single value. NaN represents a set of values that get mapped to NaN. But information is lost along the way. Since we can't recover that information, we can't know for certain what value this NaN represents or whether this NaN represents the same thing as that NaN.