Page:Russell, Whitehead - Principia Mathematica, vol. I, 1910.djvu/13

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Contents
xiii
Page
Section D. Selections 500
✱80. Elementary Properties of Selections 505
✱81. Selections from Many-One Relations 519
✱82. Selections from Relative Products 524
✱83. Selections from Classes of Classes 531
✱84. Classes of Mutually Exclusive Classes 540
✱85. Miscellaneous Propositions 549
✱88. Conditions for the Existence of Selections 561
Section E. Inductive Relations 569
✱90. On the Ancestral Relation 576
✱91. On Powers of a Relation 585
✱92. Powers of One-Many and Many-One Relations 601
✱93. Inductive Analysis of the Field of a Relation 607
✱94. On Powers of Relative Products 617
✱95. On the Equi-factor Relation 626
✱96. On the Posterity of a Term 637
✱97. Analysis of the Field of a Relation into Families 654