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CONTENTS OF VOLUME II
PAGE PREFATORY STATEMENT OF SYMBOLIC CONVENTIONS IX
PART III. CARDINAL ARITHMETIC. Summary of Part III 3
SECTION A. DEFINITION AND LOGICAL PROPERTIES OF CARDINAL NUMBERS 4
- 100. Definition and elementary properties of cardinal numbers 13
- 101. On 0 and 1 and 2 19
- 102. On cardinal numbers of assigned types 24
- 103. Homogeneous cardinals 36
- 104. Ascending cardinals 42
- 105. Descending cardinals 52
- 106. Cardinals of relational types 60
SECTION B. ADDITION, MULTIPLICATION AND EXPONENTIATION 66
- 110. The arithmetical sum of two classes and of two cardinals 75
- 111. Double similarity 88
- 112. The arithmetical sum of a class of classes 97
- 113. On the arithmetical product of two classes or of two cardinals 105
- 114. The arithmetical product of a class of classes 124
- 115. Multiplicative classes and arithmetical classes 135
- 116. Exponentiation 143
- 117. Greater and less 171
General note on cardinal correlators 185
SECTION C. FINITE AND INFINITE 187
- 118. Arithmetical substitution and uniform formal numbers 193
- 119. Subtraction 201
- 120. Inductive cardinals 207
- 121. Intervals 233
- 122. Progressions 253
- 123. No 268
- 124. Reflexive classes and cardinals 278
- 125. The axiom of infinity 289
- 126. On typically indefinite inductive cardinals 293
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