It is, of course, bound to exist, on sound pragmatic principles. Concepts signify consequences. How is the world made different for me by my conceiving an opinion of mine under the concept ‘true’? First, an object must be findable there (or sure signs of such an object must be found) which shall agree with the opinion. Second, such an opinion must not be contradicted by anything else I am aware of. But in spite of the obvious pragmatist requirement that when I have said truly that something exists, it shall exist, the slander which Mr. Russell repeats has gained the widest currency.
Mr. Russell himself is far too witty and athletic a ratiocinator simply to repeat the slander dogmatically. Being nothing if not mathematical and logical, he must prove the accusation secundum artem, and convict us not so much of error as of absurdity. I have sincerely tried to follow the windings of his mind in this procedure, but for the life of me I can only see in it another example of what I have called (above, p. 249) vicious abstractionism. The abstract world of mathematics and pure logic is so native to Mr. Russell that he thinks that we describers of the functions of concrete fact must also mean fixed mathematical terms and functions. A mathematical term, as a, b, c, x, y, sin., log., is self-sufficient, and terms of this sort, once equated, can be substituted for one another in endless series without error. Mr. Russell, and also Mr. Hawtrey, of whom I shall speak presently, seem to think that in our mouth also such terms as ‘meaning,’ ‘truth,’ ‘belief,’ ‘object,’ ‘definition,’ are self-sufficients with no context of varying relation that might be further asked about. What a word means is expressed by its definition, isn’t it? The definition claims to be exact and adequate, doesn’t it? Then it can be substituted for the word—since the two are identical—can’t it? Then two words with the same definition can be substituted for one another, n’est—ce pas? Likewise two definitions of the same word, nicht wahr, etc., etc., till it will be indeed strange if you can’t convict some one of self-contradiction and absurdity.