 In defense of PI, its proponents now point to a special case of piling, called ‘pyramiding’ (an example being a 5 kg object consisting of five 1 kg tropes). Pyramiding does seem genuinely possible. Yet, if piling is ruled out, so is pyramiding (Ehring 2011: 87ff.; cf. also Armstrong 1997: 64f.; Daly 1997: 155). According to Schaffer, this is fine. For, although admittedly not quite as objectionable as other types of piling (which he calls ‘stacking’), pyramiding faces a serious problem with predication: if admitted, it will be true of the 5 kg object that “It has the property of weighing 1 kg” (Schaffer 2001: 254). Against this, Ehring has pointed out that to say of the 5 kg object that “It has the property of weighing 1 kg” is at most pragmatically odd, and that, even if this oddness is regarded as unacceptable, to avoid it would not require the considerable complication of one’s theory of predication imagined by Schaffer (Ehring 2011: 88–91). 