 There is much here worthy of further philosophical study. Some very recent work by Butterfield (2011), Butterfield and Bouatta (2011), Norton (2012), Menon and Callender (2012) challenges the point of view suggested by the above discussion. These authors address issues about the nature of infinite idealizations, reduction, and emergence. A common theme is that it is possible to reconcile emergence and reduction. By and large these authors adopt a Nagelian sense of reduction as definitional extension. For a contrary point of view one can see Batterman (2002; 2012). 