 The key claim here is (8). So far as an account of speakers’ understanding goes, the ascription of knowledge of recognition-transcendent truth-conditions is simply redundant: there is no good reason for ascribing it. Consider one of the sentences introduced earlier as a candidate for possessing recognition-transcendent truth-conditions ‘Every even number greater than two is the sum of two primes’. The semantic realist views our understanding of sentences like this as consisting in our knowledge of a potentially recognition-transcendent truth-condition. But: