Book:Alfred North Whitehead/Principia Mathematica/Volume 2

Subject Matter

 * Mathematical Logic

Contents

 * PREFATORY STATEMENT OF SYMBOLIC CONVENTIONS


 * PART III. CARDINAL ARITHMETIC
 * Summary of Part III




 * $*$100. Definition and elementary properties of cardinal numbers
 * $*$101. On $0$ and $1$ and $2$
 * $*$102. On cardinal numbers of assigned types
 * $*$103. Homogeneous cardinals
 * $*$104. Ascending cardinals
 * $*$105. Descending cardinals
 * $*$106. Cardinals of relation types




 * $*$110. The arithmetical sum of two classes and of two cardinals
 * $*$111. Double similarity
 * $*$112. The arithmetical sum of a class of classes
 * $*$113. On the arithmetical product of two classes or of two cardinals
 * $*$114. The arithmetical product of a class of classes
 * $*$115. Multiplicative classes and arithmetical classes
 * $*$116. Exponentiation
 * $*$117. Greater and less
 * General note on cardinal correlators




 * $*$118. Arithmetical substitution and uniform formal numbers
 * $*$119. Subtraction
 * $*$120. Inductive cardinals
 * $*$121. Intervals
 * $*$122. Progressions
 * $*$123. $\aleph_0$
 * $*$124. Reflexive classes and cardinals
 * $*$125. The axiom of infinity
 * $*$126. On typically indefinite inductive cardinals


 * PART IV. RELATIONAL ARITHMETIC
 * Summary of Part IV




 * $*$150. Internal transformations of a relation
 * $*$151. Ordinal similarity
 * $*$152. Definition and elementary properties of relation-numbers
 * $*$153. The relation-numbers $0_r$, $2_r$ and $1_s$
 * $*$154. Relation-numbers of assigned types
 * $*$155. Homogeneous relation-numbers




 * $*$160. The sum of two relations
 * $*$161. Addition of a term to a relation
 * $*$162. The sum of the relations of a field
 * $*$163. Relations of mutually exclusive relations
 * $*$164. Double likeness
 * $*$165. Relations of relations of couples
 * $*$166. The product of two relations




 * $*$170. On the relation of first differences among the sub-classes of a given class
 * $*$171. The principle of first differences (continued)
 * $*$172. The product of the relations of a field
 * $*$173. The product of the relations of a field (continued)
 * $*$174. The associative law of relational multiplication
 * $*$176. Exponentiation
 * $*$177. Propositions connecting $P_{\mathrm d f}$ with products and powers




 * $*$180. The sum of two relation-numbers
 * $*$181. On the addition of unity to a relation-number
 * $*$182. On separated relations
 * $*$183. The sum of the relation-numbers of a field
 * $*$184. The product of two relation-numbers
 * $*$185. The product of the relation-numbers of a field
 * $*$186. Powers of relation-numbers


 * PART V. SERIES
 * Summary of Part V




 * $*$200. Relations contained in diversity
 * $*$201. Transitive relations
 * $*$202. Connected relations
 * $*$204. Elementary properties of series
 * $*$205. Maximum and minimum points
 * $*$206. Sequent points
 * $*$207. Limits
 * $*$208: The correlation of series




 * $*$210. On series of classes generated by the relation of inclusion
 * $*$211. On sections and segments
 * $*$212. The series of segments
 * $*$213. Sectional relations
 * $*$214. Dedekindian relations
 * $*$215. Stretches
 * $*$216. Derivatives
 * $*$217. On segments of sums and converses




 * $*$230. On convergents
 * $*$231. Limiting sections and ultimate oscillation of a function
 * $*$232. On the oscillation of a function as the argument approaches a given limit
 * $*$233. On the limits of functions
 * $*$234. Continuity of functions