*91. ON POWERS OF A RELATION.
Project Gutenberg EPUB3 edition
Whitehead, Alfred North and Russell, Bertrand
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This formula should be compared with *90·11, in which an analogous formula is given for . It will be observed that here we do not require to add , for if , the above formula leads to , i.e. to . Hence , i.e. . It will be observed that holds whenever belongs to every hereditary class which contains the immediate successors of , whereas holds whenever belongs to every hereditary class to which itself belongs.
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The above proposition is used in the theory of minimum points in a series (*205·68).