 Coherentists have a plausible response to this objection. They may hold that the law of non-contradiction, like any other truth, is true because it coheres with a system of beliefs. In particular, the law of non-contradiction is supported by the belief that, for example, communication and reasoning would be impossible unless every system of beliefs contains something like law of non-contradiction (and the belief that communication and reasoning are possible). It is true that, as Russell says, if the law is supposed not to cohere with a system of beliefs, then propositions can neither cohere nor fail to cohere. However, coherence theorists may hold, they do not suppose the law of non-contradiction to be false. On the contrary, they are likely to hold that any coherent set of beliefs must include the law of non-contradiction or a similar law.