  Furthermore, one might question what Hinton has in mind in his use of the term ‘equivalent’ when he says that his opponent needs to show that our Neutral Experience Reports are not equivalent to his Perception-Illusion disjunctions. For Hinton denies that he is suggesting that his Perception-Illusion disjunctions provide us with a conceptual analysis of our Neutral Experience Reports. Snowdon (2008) suggests that the most obvious reading of ‘equivalent’ in this context is the following: ‘P’ is equivalent to ‘Q’ if and only if it is a priori that necessarily (P if and only if Q). Snowdon then poses the following problem for Hinton’s argument. The fact that a statement is disjunctive does not on its own mean that it cannot be equivalent, in the relevant sense, to a non-disjunctive statement, which, as a consequence of being non-disjunctive, may well count as saying what sort of thing is happening. Snowdon offers a mathematical example in support of this claim. ‘X wrote down a number which is either 2 or an uneven prime number’ is equivalent, in the relevant sense, to ‘X wrote down a prime number’.