=13.= In fact, if it is not the case that ‘good’ denotes something simple and indefinable, only two alternatives are possible: either it is a complex, a given whole, about the correct analysis of which there may be disagreement; or else it means nothing at all, and there is no such subject as Ethics. In general, however, ethical philosophers have attempted to define good, without recognising what such an attempt must mean. They actually use arguments which involve one or both of the absurdities considered in § 11. We are, therefore, justified in concluding that the attempt to define good is chiefly due to want of clearness as to the possible nature of definition. There are, in fact, only two serious alternatives to be considered, in order to establish the conclusion that ‘good’ does denote a simple and indefinable notion. It might possibly denote a complex, as ‘horse’ does; or it might have no meaning at all. Neither of these possibilities has, however, been clearly conceived and seriously maintained, as such, by those who presume to define good; and both may be dismissed by a simple appeal to facts. (1) The hypothesis that disagreement about the meaning of good is disagreement with regard to the correct analysis of a given whole, may be most plainly seen to be incorrect by consideration of the fact that, whatever definition be offered, it may be always asked, with significance, of the complex so defined, whether it is itself good. To take, for instance, one of the more plausible, because one of the more complicated, of such proposed definitions, it may easily be thought, at first sight, that to be good may mean to be that which we desire to desire. Thus if we apply this definition to a particular instance and say ‘When we think that A is good, we are thinking that A is one of the things which we desire to desire,’ our proposition may seem quite plausible. But, if we carry the investigation further, and ask ourselves ‘Is it good to desire to desire A?’ it is apparent, on a little reflection, that this question is itself as intelligible, as the original question ‘Is A good?’--that we are, in fact, now asking for exactly the same information about the desire to desire A, for which we formerly asked with regard to A itself. But it is also apparent that the meaning of this second question cannot be correctly analysed into ‘Is the desire to desire A one of the things which we desire to desire?’: we have not before our minds anything so complicated as the question ‘Do we desire to desire to desire to desire A?’ Moreover any one can easily convince himself by inspection that the predicate of this proposition--‘good’--is positively different from the notion of ‘desiring to desire’ which enters into its subject: ‘That we should desire to desire A is good’ is _not_ merely equivalent to ‘That A should be good is good.’ It may indeed be true that what we desire to desire is always also good; perhaps, even the converse may be true: but