 Upon such addition further care would be needed when considering the nature of Wright’s transfinite cardinals begotten by Hume’s Principle. As the investigations of Kit Fine (1998: 515; 2002) have revealed, any attempt to combine such an abstractive account of transfinite cardinals with set theory must resort to treating the abstracted cardinals as Urelemente rather than as sets. Set theory cannot, by itself, provide a set-surrogate for every transfinite cardinal that would be generated by Hume’s Principle. 