CHAPTER XXIV

THE

The word "the" implies existence and uniqueness; it is a mistake to talk

of "the son of So-and-So" if So-and-So has a fine family of ten

sons.[65] People who refer to "the Oxford Movement" imply that Oxford

only moved once; and those quaint people who say that "A is quite the

gentleman" imply both the doubtful proposition that there is only one

gentleman in the world, and the indubitably false proposition that he is

that man. Probably A is one of those persons who add to the confusion in

the use of the definite article by speaking of his wife as "the wife."

In a certain Children's Hymn Book one reads:

The river vast and small.

Few would deny that there is not more than one such river, but

unfortunately it is doubtful if there is such a river at all. The case

is exactly the same with the ontological proof of the existence of the

most perfect being.[66]

According to the _Daily Mail_ of October 9, 1906, Judge Russell decided

against a claim brought by an agent against his company for appointing

another agent, the claim being on the ground that he was appointed as

"the" agent.

Most people admit that the number 2 can be added to the number 2 to give

the number 4, but this is a mistake. They concede, when they use _the_,

that there is only one number 2, and yet they imagine that, when they

consider it apart as the first term of our above sum, they can find

another to add to it, and thereby form the third term. The truth is that

"2 + 2 = 4" is a very misleading equation, and what we really mean by

that faultily abbreviated statement is more precisely: If _x_ and _y_

denote any things which form a class B, and _x'_ and _y'_ any other

things that form a class (A) which, like that of _x_ and _y_, is a

member of the class (which we call "2") of those classes which have a

one-one correspondence with B (so that any member of A corresponds to

one, and only one, member of B, and conversely), the class of all the

terms of A and B together is a member of that class of classes which,

analogously, we call "4." In this, for the sake of shortness, we have

introduced abbreviations which should not be used in a rigorous logical

statement.

FOOTNOTES:

[65] Cf. _Md._, N. S., vol. xiv., 1905, pp. 481, 484.

[66] Cf. _ibid._, p. 491, note.

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