It seems to me, therefore, quite certain, in spite of the dogma that no relations are purely external, that there are many predicates, such for instance as most (if not all) subjective predicates or the objective one of being surrounded by a red ring, which do _not_ depend solely on the intrinsic nature of what possesses them: or, in other words, of which it is _not_ true that if _x_ possesses them and _y_ does not, _x_ and _y must_ differ in intrinsic nature. But what precisely is meant by this unconditional 'must,' I must confess I don't know. The obvious thing to suggest is that it is the logical 'must,' which certainly is unconditional in just this sense: the kind of necessity, which we assert to hold, for instance, when we say that whatever is a right-angled triangle _must_ be a triangle, or that whatever is yellow _must_ be either yellow or blue. But I must say I cannot see that all unconditional necessity is of this nature. I do not see how it can be deduced from any logical law that, if a given patch of colour be yellow, then any patch which were exactly like the first would be yellow too. And similarly in our case of 'intrinsic' value, though I think it is true that beauty, for instance, is 'intrinsic,' I do not see how it can be deduced from any logical law, that if A is beautiful, anything that were exactly like A would be beautiful too, in exactly the same degree. Moreover, though I do believe that both "yellow" (in the sense in which it applies to sense-data) and "beautiful" are predicates which, in this unconditional sense, depend only on the intrinsic nature of what possesses them, there seems to me to be an extremely important difference between them which constitutes a further difficulty in the way of getting quite clear as to what this unconditional sense of "must" is. The difference I mean is one which I am inclined to express by saying that though both yellowness and beauty are predicates which _depend_ only on the intrinsic nature of what possesses them, yet while yellowness is itself an _intrinsic_ predicate, _beauty_ is not. Indeed it seems to me to be one of the most important truths about predicates of value, that though many of them _are_ intrinsic kinds of value, in the sense I have defined, yet _none_ of them are intrinsic properties, in the sense in which such properties as "yellow" or the property of "being a state of pleasure" or "being a state of things which contains a balance of pleasure" are intrinsic properties. It is obvious, for instance, that, if we are to reject _all_ naturalistic theories of value, we must not only reject those theories, according to which no kind of value would be intrinsic, but must also reject such theories as those which assert, for instance, that to say that a state of mind is good is to say that it is a state of being pleased; or that to say that a state of things is good is to say that it contains a balance of pleasure over pain. There are, in short, two entirely