FOOTNOTES: (continued 2)
Project Gutenberg EPUB3 edition
Whitehead, Alfred North and Russell, Bertrand
Source notes
[29] Cf. pp. 31, 32.
[30] We shall generally write "" rather than "" in future.
[31] Briefly, these arguments reduce to the following: If there is such an object as a class, it must be in some sense one object. Yet it is only of classes that many can be predicated. Hence, if we admit classes as objects, we must suppose that the same object can be both one and many, which seems impossible.
[32] Cf. p. 56.
[33] As explained in Chapter I (pp. 25, 26), "" means " is a member of the class ," or, more shortly, " is an ." The definition of this expression in terms of our theory of classes will be given shortly.
[34] This is the second of the contradictions discussed at the end of Chapter II.
[35] The use of a single letter, such as or , to represent a variable class, will be further explained shortly.
[36] This definition raises certain questions as to the two senses of a relation, which are dealt with in *21.
[37] Cf. p. 8.