 The unwanted ambiguity objection returns as well if we allow that different people will associate different bundles of properties with a name or at least weight those properties differently. One might be tempted to dodge this problem by arguing that the relevant bundle of properties for a name is socially fixed and does not vary between individuals, but then it is hard to see how names like ‘Scott’ and ‘Sir Walter’ could be associated with different bundles of properties since the community as a whole is likely to attribute the same bundle of properties (with the same weights) to these names. This is a problem, because different bundles of properties are needed to distinguish the differences in cognitive significance between ‘Scott’ and ‘Sir Walter’. There is a dilemma then: one can avoid the problem of unwanted ambiguity only at the expense of the problem of accounting for the cognitive significance of names.